Fig. 3. Responses of DA neurones (PG cells) in thin slices to depolarising voltage steps under different conditions. A, B – Voltage-clamp recordings from the same cell, in normal saline, held at –70 mV (A) and at –50 mV (B), and depolarised to potentials ranging from –50 to +50 mV. C – Inward currents recorded under voltage-clamp conditions in response to depolarising steps ranging from –80 to +50 mV; holding potential was –100 mV. Potassium currents were suppressed by ionic substitution of intracellular K+ ions with Cs+, and addition of 20 mM TEA in the extracellular medium. The inset shows the current-voltage relationship of the persistent inward current, averaged at the times indicated by the box. D – Details of some of the traces shown in panel C, at higher magnification, to show the persistent inward current.

#### **2.2 Fast transient Na current**

The elimination of the concomitant currents was obtained by blocking the Ca2+ current with 100 M Cd+, and by equimolar substitution of intracellular K+ with Cs+ or NMDG; in addition, the K+ channels were blocked by adding 20 mM TEA in the perfusing solution

depolarisations, together with ionic substitution and blocking agents to isolate individual components of the currents. After block of the potassium currents, obtained by adding 20 mM TEA in the perfusing solution and by equimolar substitution of internal K+ ions with Cs+, a persistent inward current was observed after the fast transient inward current had completely subsided (Fig 3C, D). The amplitude of this persistent component, measured as the average of the current amplitude during the last 10 ms of the depolarising step, had a maximum amplitude of 223.3 + 32.2 pA (n=21) at –20 mV, and could be separated in two

Fig. 3. Responses of DA neurones (PG cells) in thin slices to depolarising voltage steps under different conditions. A, B – Voltage-clamp recordings from the same cell, in normal saline, held at –70 mV (A) and at –50 mV (B), and depolarised to potentials ranging from –50 to +50

depolarising steps ranging from –80 to +50 mV; holding potential was –100 mV. Potassium currents were suppressed by ionic substitution of intracellular K+ ions with Cs+, and addition of 20 mM TEA in the extracellular medium. The inset shows the current-voltage relationship of the persistent inward current, averaged at the times indicated by the box. D –

The elimination of the concomitant currents was obtained by blocking the Ca2+ current with 100 M Cd+, and by equimolar substitution of intracellular K+ with Cs+ or NMDG; in addition, the K+ channels were blocked by adding 20 mM TEA in the perfusing solution

mV. C – Inward currents recorded under voltage-clamp conditions in response to

Details of some of the traces shown in panel C, at higher magnification, to show the

persistent inward current.

**2.2 Fast transient Na current**

components, sustained by sodium and calcium ions (see below).

(and occasionally also in the intracellular solution to complete the blockade). Under these conditions, depolarising voltage steps to potentials positive to –60 mV evoked a large, transient inward current, peaking in 0.4 ms at 0 mV which reached its maximum amplitude for steps near –30 mV (Fig. 4A). Its sensitivity to TTX (0.3 M) at all voltages, and its abolition following removal of sodium ions from the perfusing medium indicate that it is a classical Na-current.

Although it was not always possible to exert an accurate control of membrane potential during the transient sodium current in DA cells in slice preparations (presumably because of currents generated at a distance from the soma on the axon or dendrites), an adequate space clamp and series resistance compensation could be achieved in 7 neurones in which we could obtain a complete series of recordings with and without TTX. The kinetic characterisation of the fast transient Na-current showed in Fig. 4 (and on which is based the numerical reconstruction of this current presented below), was carried out in a homogeneous group of 12 dissociated neurones, averaging 4.5 + 0.12 pF, which were electrotonically compact and thus allowed for a more precise space clamp. The results were similar in the two cases, with I/V relationships showing a slightly larger maximum inward current in slices (3784 + 369 pA, n=7) than in dissociated cells (3219 + 223 pA, n=12), but with the same overall voltage dependence and kinetics.

The peak INa(F) I-V relationship for a group of twelve dissociated neurones over a range of voltage pulses extending from -80 to +40 mV is shown in Fig. 4B. Reversal potentials for INa(F) could not be measured directly in our experiments because of uncertainties regarding leakage correction in the presence of large non-specific outward currents. The Na equilibrium potential, evaluated indirectly from the positive limb of the I-V plot (Fig. 4B), is close to +40 mV, about 20 mV more negative than the value predicted by the Nernst equation for a pure Na potential.

The activation process is illustrated in Fig. 4 A-C and G. The fast Na-current develops following a third-order exponential; the activation time constant, m, studied in the –60 to +30 mV range, was computed from the least squares fit of a cubic exponential to the rising phase of the Na-current. In some cases the activation time constant was computed using the method proposed by Bonifazzi et al. (Bonifazzi et al.1988), allowing for the determination of m from the time-to-peak (tp) and the decay time constant, and consisting in the solution of the equation tp = m ln(1+n·h/m), where n is the order of the activation kinetics. Nachannels activate rapidly, with time constants extending from 0.66 to 0.14 ms in the –60 to +10 mV range. The continuous function describing the dependence of m upon voltage in the range studied, is indicated in the legend of figure 4.

The open channel current as a function of voltage was obtained in a 12 neurones sample from the extrapolation at the time zero of the decaying phase of the current. From the obtained values, the open-channel Na conductance, gNa(F), was calculated using the equation gNa(F)(V) = INa0(V)/(V- ENa), where V is the membrane potential, ENa the sodium equilibrium potential and INa0 is the extrapolation at the zero time of the Na-current.

The conductance-voltage relationship, gNa(F)(V), was described by the Boltzmann equation exhibiting a threshold at about -60 mV, with a slope of 4.34 mV, midpoint at –39.9 mV and a maximum conductance gNa(F)max of 101 nS at –20 mV (Fig. 4C). Finally, the voltagedependence of the steady-state activation parameter, m, was computed by extracting the

Pacemaker Currents in Dopaminergic Neurones of the Mice Olfactory Bulb 31

cubic root from the ratio gNa(V) / gNa(F)max (Fig 4H, upward triangles). The steady-state

The steady-state voltage dependence of fast Na inactivation, h∞, was studied by evaluating the non-inactivated fraction of the Na current as a function of membrane potential (Hodgkin and Huxley1952)(Fig. 4D). The protocol used is illustrated in the inset of the same figure. INa(F) was measured in each experiment at a constant test voltage of 0 mV after 200 ms preconditioning pulses to various potentials, and plotted after normalisation to the

The 200 ms pre-pulse was sufficient to allow the inactivation variable to reach its steadystate value (see Fig. 4E). The steady-state inactivation curve h∞(V) thus obtained from a twelve-neurone sample, shows a sigmoidal dependence on voltage which can be fitted by the equation: h∞(V) = (1+exp[(V-Vh)/k])-1, where Vh (midpoint) is -58.7 mV and k (slope) is 4.5 mV (Fig. 4H, downward triangles). It should be noted that the inactivating fraction of INa(F) falls virtually to zero at -30 mV, which is the potential at which INa(P) reaches its

 Fast sodium channels inactivate rapidly. The decay phase of the current, studied in the –60 to +30 mV range, could be adequately fitted with a single exponential. The continuous function describing the voltage-dependence of inactivation time constant, h, illustrated in Fig. 4F for a ten-neurone sample, can be approximated by the equation indicated in the

The rate of recovery from inactivation, was measured using the double-pulse protocol. Nachannel inactivation is removed over a course of a few tens of milliseconds, and the process is markedly voltage-dependent. This is illustrated in Fig. 4E for a typical neurone. The cell was maintained in normal saline at a holding potential of –100 mV, and stepped to –20 mV for 10 ms (h is 0.74 ms at this potential). INa(F) was then allowed to recover by applying a

Recovery was evaluated by measuring INa(F) during a second test pulse to -20 mV. In Fig. 4E, a family of INa(F) currents is shown for the conditioning potential of –80 mV. The current peak as a function of the conditioning pulse duration could be fitted by a simple exponential

A delayed rectifier-type potassium current was present in TH-GFP cells (e.g. Fig. 3B), and it has been kinetically characterised (Fig. 5). The current, isolated by blocking the sodium current with TTX, was calcium-dependent only for a small part (at 0 mV the fraction suppressed by Cd+ 100 M was about 10%), and thus it has been modelled as a single component. The equations describing the time- and voltage-dependence of the potassium

In DA cells, after the fast transient Na-current had completely subsided, a persistent inward

figure, and has values spanning from 4.4 and 0.6 ms in the voltage range considered.

hyperpolarising pre-pulse of variable duration at different potentials.

with a mean value of 42.1 + 8.9 ms (n = 14) at –80 mV.

current are shown in Fig. 5 and detailed in the relative legend.

current showing no sign of inactivation after 200 ms was observed.

**2.3 Delayed rectifier potassium current**

**2.4 Persistent sodium current**

activation, m(V), had a midpoint at –47.64 mV and a slope of 5.8 mV.

maximum current evoked with hyperpolarisation.

maximum amplitude (Fig. 4B).

Fig. 4. Properties of fast transient sodium current. A - Family of fast transient sodium current in a TH-GFP cell (PG) in thin slice. Responses to depolarising voltage steps ( –90 to + 50 mV ) from a holding potential of –100 mV. B – I/V relationship for a group of 12 dissociated cells (average values ± SEM). C – Conductance-voltage relationship for the group of cells shown in B. The continuous curve is drawn according to the Boltzmann equation, with the upper asymptote at 101 nS, midpoint at –39.9 mV and slope of 4,34 mV. D – Development of inactivation. Family of tracings obtained in response to the protocol shown in the inset. E – Time course of removal of inactivation at –80 mV. Family of tracings obtained with a double-pulse protocol, consisting in two subsequent steps to –20 mV, the first from a holding potential of –100 mV, the second after a variable time at –80 mV. F – Voltage-dependence of inactivation time constant, measured from the decay of the current. The continuous curve, describing h in the -60/+30 mV range, obeys the equation: h(V) = .58 + .019 \* exp(-V / 11.3). G – Voltage-dependence of activation time constant, calculated as explained in the text in a 12 neurone sample. The continuous curve, describing m in the – 60/+10 mV range, obeys the equation: m(V) = 0.155 + (23.2 / (36.4 \*( /2))) \* exp(- 2\*((V+60.62) /36.4)2) H – Steady-state values of activation and inactivation variables (m and h) of the fast sodium current. The continuous curves obey the equations: m∞(V) = 1/(1+exp((-47.6-V)/5.8)), h∞(V) = 1/(1+exp((V+58.7)/4.5)).

Fig. 4. Properties of fast transient sodium current. A - Family of fast transient sodium current in a TH-GFP cell (PG) in thin slice. Responses to depolarising voltage steps ( –90 to +

50 mV ) from a holding potential of –100 mV. B – I/V relationship for a group of 12 dissociated cells (average values ± SEM). C – Conductance-voltage relationship for the group of cells shown in B. The continuous curve is drawn according to the Boltzmann equation, with the upper asymptote at 101 nS, midpoint at –39.9 mV and slope of 4,34 mV. D – Development of inactivation. Family of tracings obtained in response to the protocol shown in the inset. E – Time course of removal of inactivation at –80 mV. Family of tracings obtained with a double-pulse protocol, consisting in two subsequent steps to –20 mV, the first from a holding potential of –100 mV, the second after a variable time at –80 mV. F – Voltage-dependence of inactivation time constant, measured from the decay of the current. The continuous curve, describing h in the -60/+30 mV range, obeys the equation: h(V) = .58 + .019 \* exp(-V / 11.3). G – Voltage-dependence of activation time constant, calculated as explained in the text in a 12 neurone sample. The continuous curve, describing m in the – 60/+10 mV range, obeys the equation: m(V) = 0.155 + (23.2 / (36.4 \*( /2))) \* exp(-

2\*((V+60.62) /36.4)2) H – Steady-state values of activation and inactivation variables (m and

h) of the fast sodium current. The continuous curves obey the equations: m∞(V) =

1/(1+exp((-47.6-V)/5.8)), h∞(V) = 1/(1+exp((V+58.7)/4.5)).

cubic root from the ratio gNa(V) / gNa(F)max (Fig 4H, upward triangles). The steady-state activation, m(V), had a midpoint at –47.64 mV and a slope of 5.8 mV.

The steady-state voltage dependence of fast Na inactivation, h∞, was studied by evaluating the non-inactivated fraction of the Na current as a function of membrane potential (Hodgkin and Huxley1952)(Fig. 4D). The protocol used is illustrated in the inset of the same figure. INa(F) was measured in each experiment at a constant test voltage of 0 mV after 200 ms preconditioning pulses to various potentials, and plotted after normalisation to the maximum current evoked with hyperpolarisation.

The 200 ms pre-pulse was sufficient to allow the inactivation variable to reach its steadystate value (see Fig. 4E). The steady-state inactivation curve h∞(V) thus obtained from a twelve-neurone sample, shows a sigmoidal dependence on voltage which can be fitted by the equation: h∞(V) = (1+exp[(V-Vh)/k])-1, where Vh (midpoint) is -58.7 mV and k (slope) is 4.5 mV (Fig. 4H, downward triangles). It should be noted that the inactivating fraction of INa(F) falls virtually to zero at -30 mV, which is the potential at which INa(P) reaches its maximum amplitude (Fig. 4B).

 Fast sodium channels inactivate rapidly. The decay phase of the current, studied in the –60 to +30 mV range, could be adequately fitted with a single exponential. The continuous function describing the voltage-dependence of inactivation time constant, h, illustrated in Fig. 4F for a ten-neurone sample, can be approximated by the equation indicated in the figure, and has values spanning from 4.4 and 0.6 ms in the voltage range considered.

The rate of recovery from inactivation, was measured using the double-pulse protocol. Nachannel inactivation is removed over a course of a few tens of milliseconds, and the process is markedly voltage-dependent. This is illustrated in Fig. 4E for a typical neurone. The cell was maintained in normal saline at a holding potential of –100 mV, and stepped to –20 mV for 10 ms (h is 0.74 ms at this potential). INa(F) was then allowed to recover by applying a hyperpolarising pre-pulse of variable duration at different potentials.

Recovery was evaluated by measuring INa(F) during a second test pulse to -20 mV. In Fig. 4E, a family of INa(F) currents is shown for the conditioning potential of –80 mV. The current peak as a function of the conditioning pulse duration could be fitted by a simple exponential with a mean value of 42.1 + 8.9 ms (n = 14) at –80 mV.

#### **2.3 Delayed rectifier potassium current**

A delayed rectifier-type potassium current was present in TH-GFP cells (e.g. Fig. 3B), and it has been kinetically characterised (Fig. 5). The current, isolated by blocking the sodium current with TTX, was calcium-dependent only for a small part (at 0 mV the fraction suppressed by Cd+ 100 M was about 10%), and thus it has been modelled as a single component. The equations describing the time- and voltage-dependence of the potassium current are shown in Fig. 5 and detailed in the relative legend.

#### **2.4 Persistent sodium current**

In DA cells, after the fast transient Na-current had completely subsided, a persistent inward current showing no sign of inactivation after 200 ms was observed.

Pacemaker Currents in Dopaminergic Neurones of the Mice Olfactory Bulb 33

The persistent sodium current, INa(P), was activated at potentials more negative than –70 mV, and reached a maximum amplitude of –27.5 + 2.97 pA at –30 mV. The corresponding conductance-voltage relationship, calculated by dividing the current amplitude by the sodium driving force, could be fitted by a Boltzmann equation with a midpoint at –48.8 mV and a slope of 6.51 mV (Fig 6B). The maximum value of gNa(P) conductance was 0.41 nS, about 200 times smaller than that of the fast sodium current (INa(F), see below), but contrary to the latter, this current is activated in the pacemaker range, showing an amplitude of –7.3

After block of the TTX-sensitive component and suppression of the K-current by equimolar substitution of intracellular K+ with Cs+, a persistent inward current could be observed at the end of prolonged depolarising steps (Fig. 7A, upper trace). This residual fraction could be almost completely blocked by Cd2+ or Co2+ ions (Fig. 7A, lower traces), suggesting that this second component was sustained by calcium ions. The very small fraction of current remaining after TTX and Cd2+ block has not been further investigated in the present study. Using classical pharmacological tools, ionic substitutions and voltage-clamp protocols, we

The larger of these components, by its overall kinetics, its voltage-dependence and the absence of inactivation was identified as a possible L-type Ca-current. Its properties were studied in slices, after blockage of the Na-currents with 0.3 – 1.2 M TTX and of the Kcurrents by equimolar substitution with Cs+ in the pipette-filling solution and 20 mM TEA in the perfusing bath. The protocols used were either voltage steps or voltage ramps, giving virtually identical results. The I/V relationship of the Ca-current (Fig 7C), measured in a 10 neurones sample averaging the last 5 ms at the end of a 40 ms depolarising step, had a maximum amplitude of –108.7 11.9 pA at –10 mV. The corresponding conductance-voltage relationship showed a maximum conductance of 2.3 nS, with a midpoint at –25.6 mV.

Equimolar substitution of Ca2+ with Ba2+ increased by a factor of about 3 the amplitude of this current (Fig. 7C), without changing the I/V relationship or the time constant of activation. On this current we tested the effects of two blockers of L-type calcium channels, nifedipine and calcicludine. The fraction of current blocked by the two drugs at different voltages was quantified by subtraction of I-V data acquired before and after treatment.

The effects of 10M nifedipine on peak Ca2+ current amplitude was assessed in 6 PG cells (Fig. 7E and F). On average, the drug blocked 61.1 + 14 % of the current measured at the

A 60 aminoacid peptide isolated from the venom of the green mamba (*Dendroaspis augusticeps*), calcicludine (CaC) has been described to have a powerful effect on all type of high-voltage-activated Ca-channels (L-, N-, and P-type) (Schweitz et al.1994). Since one of the regions of the CNS presenting the highest densities of 125I-labeled CaC binding sites is the glomerular layer of the olfactory bulb (Schweitz et al.1994), we tested the ability of this toxin in suppressing the non-inactivating Ca-current found in the DA neurones. CaC (1 μM) was much more effective than nifedipine, with an inhibitory action averaging 72.7

point of its maximum amplitude (–10 mV).

+ 3.13 %.

could dissect the voltage-dependent Ca currents, Cav, into several components.

pA at –60 mV.

**2.5 Calcium currents**

Fig. 5. Properties of delayed rectifier potassium current. A – Conductance-voltage relationship. The continuous curve is drawn according to the Boltzmann equation, with the upper asymptote (maximum conductance) at 50.5 nS, midpoint at –4.1 mV and slope of 12.5 mV. B - Steady-state values of activation (*n*) for the potassium current, obtained from the fourth root of the data shown in *A* after normalisation. The continuous curve obey the equations: n∞(V) = 1/(1+exp[(-32.2-V)/14.9]). C - Voltage-dependence of activation time constant (n), obtained by fitting a fourth-order exponential to the rising phase of the current. The continuous curve obeys the equation: n(V) = .42 + .097 \* exp(-V / 21.67). D – Voltage-dependence of de-activation time constant (nd). The continuous curve, describing nd in the -105/-15 mV range, obeys the equation: nd = 6.1 - 5.88/(1+exp((V+57.6)/14.75)). This parameter was calculated from the tail currentsindependently from n.

We first applied TTX (0.3 to 1.2 M), which did suppress a significant fraction of the persistent inward current, indicating it received a contribution from a non-inactivating, TTX-sensitive channels. This current-voltage relationship was virtually coincident with the residual persistent current measured after treatment with Cd2+ 100 M (see below), and therefore the data were pooled together. The current-voltage relationship of the fraction of current abolished by TTX or remaining after Cd2+ treatment is shown in Fig. 6A.

Fig. 6. Properties of persistent sodium current. A – I/V relationship. Pooled data obtained as fraction of non-inactivating current suppressed by TTX (n=12) and residual persistent current after Cd2+ block (n=6). B – Conductance-voltage relationship of persistent sodium current, obtained from the average data shown in A. The continuous curve is the Boltzmann fit, with upper asymptote of 0.41 nS, midpoint at –48.8 mV and slope of 6.51 mV.

The persistent sodium current, INa(P), was activated at potentials more negative than –70 mV, and reached a maximum amplitude of –27.5 + 2.97 pA at –30 mV. The corresponding conductance-voltage relationship, calculated by dividing the current amplitude by the sodium driving force, could be fitted by a Boltzmann equation with a midpoint at –48.8 mV and a slope of 6.51 mV (Fig 6B). The maximum value of gNa(P) conductance was 0.41 nS, about 200 times smaller than that of the fast sodium current (INa(F), see below), but contrary to the latter, this current is activated in the pacemaker range, showing an amplitude of –7.3 pA at –60 mV.

#### **2.5 Calcium currents**

32 Electrophysiology – From Plants to Heart

Fig. 5. Properties of delayed rectifier potassium current. A – Conductance-voltage

This parameter was calculated from the tail currentsindependently from n.

current abolished by TTX or remaining after Cd2+ treatment is shown in Fig. 6A.

relationship. The continuous curve is drawn according to the Boltzmann equation, with the upper asymptote (maximum conductance) at 50.5 nS, midpoint at –4.1 mV and slope of 12.5 mV. B - Steady-state values of activation (*n*) for the potassium current, obtained from the fourth root of the data shown in *A* after normalisation. The continuous curve obey the equations: n∞(V) = 1/(1+exp[(-32.2-V)/14.9]). C - Voltage-dependence of activation time constant (n), obtained by fitting a fourth-order exponential to the rising phase of the current. The continuous curve obeys the equation: n(V) = .42 + .097 \* exp(-V / 21.67). D – Voltage-dependence of de-activation time constant (nd). The continuous curve, describing nd in the -105/-15 mV range, obeys the equation: nd = 6.1 - 5.88/(1+exp((V+57.6)/14.75)).

We first applied TTX (0.3 to 1.2 M), which did suppress a significant fraction of the persistent inward current, indicating it received a contribution from a non-inactivating, TTX-sensitive channels. This current-voltage relationship was virtually coincident with the residual persistent current measured after treatment with Cd2+ 100 M (see below), and therefore the data were pooled together. The current-voltage relationship of the fraction of

Fig. 6. Properties of persistent sodium current. A – I/V relationship. Pooled data obtained as fraction of non-inactivating current suppressed by TTX (n=12) and residual persistent current after Cd2+ block (n=6). B – Conductance-voltage relationship of persistent sodium current, obtained from the average data shown in A. The continuous curve is the Boltzmann

fit, with upper asymptote of 0.41 nS, midpoint at –48.8 mV and slope of 6.51 mV.

After block of the TTX-sensitive component and suppression of the K-current by equimolar substitution of intracellular K+ with Cs+, a persistent inward current could be observed at the end of prolonged depolarising steps (Fig. 7A, upper trace). This residual fraction could be almost completely blocked by Cd2+ or Co2+ ions (Fig. 7A, lower traces), suggesting that this second component was sustained by calcium ions. The very small fraction of current remaining after TTX and Cd2+ block has not been further investigated in the present study.

Using classical pharmacological tools, ionic substitutions and voltage-clamp protocols, we could dissect the voltage-dependent Ca currents, Cav, into several components.

The larger of these components, by its overall kinetics, its voltage-dependence and the absence of inactivation was identified as a possible L-type Ca-current. Its properties were studied in slices, after blockage of the Na-currents with 0.3 – 1.2 M TTX and of the Kcurrents by equimolar substitution with Cs+ in the pipette-filling solution and 20 mM TEA in the perfusing bath. The protocols used were either voltage steps or voltage ramps, giving virtually identical results. The I/V relationship of the Ca-current (Fig 7C), measured in a 10 neurones sample averaging the last 5 ms at the end of a 40 ms depolarising step, had a maximum amplitude of –108.7 11.9 pA at –10 mV. The corresponding conductance-voltage relationship showed a maximum conductance of 2.3 nS, with a midpoint at –25.6 mV.

Equimolar substitution of Ca2+ with Ba2+ increased by a factor of about 3 the amplitude of this current (Fig. 7C), without changing the I/V relationship or the time constant of activation. On this current we tested the effects of two blockers of L-type calcium channels, nifedipine and calcicludine. The fraction of current blocked by the two drugs at different voltages was quantified by subtraction of I-V data acquired before and after treatment.

The effects of 10M nifedipine on peak Ca2+ current amplitude was assessed in 6 PG cells (Fig. 7E and F). On average, the drug blocked 61.1 + 14 % of the current measured at the point of its maximum amplitude (–10 mV).

A 60 aminoacid peptide isolated from the venom of the green mamba (*Dendroaspis augusticeps*), calcicludine (CaC) has been described to have a powerful effect on all type of high-voltage-activated Ca-channels (L-, N-, and P-type) (Schweitz et al.1994). Since one of the regions of the CNS presenting the highest densities of 125I-labeled CaC binding sites is the glomerular layer of the olfactory bulb (Schweitz et al.1994), we tested the ability of this toxin in suppressing the non-inactivating Ca-current found in the DA neurones. CaC (1 μM) was much more effective than nifedipine, with an inhibitory action averaging 72.7 + 3.13 %.

Pacemaker Currents in Dopaminergic Neurones of the Mice Olfactory Bulb 35

Since *in situ* hybridisation experiments have localised the expression of two transcripts (1G and 1I) of the T-type calcium channel in the glomerular layer of the olfactory bulb (Talley et al.1999; Klugbauer et al.1999), we checked for the presence of LVA Ca-current. Unfortunately several characteristics of these channels hampered their study in our preparation. First, contrary to the cardiac cells or transfected cells, in TH-GFP interneurones this current is small: we have calculated a maximum conductance of 0.35 nS, corresponding to a peak current of about 20 pA at –35 mV. The problem was further complicated by the fact that on one hand it was difficult to get accurate space clamping in slices, and on the other hand, in isolated cell preparations the current was difficult to resolve, probably because of the preferential localisation of these channels on the dendrites (Perez-Reyes2003). Second, the conductance of these channels cannot be significantly increased by substitution of Ca2+ with Ba2+ ions, as it can be done with HVA channels. Third, there are no effective pharmacological tools for the study of T-type Cachannels, because they are relatively resistant to most organic calcium channel blockers, such as dihydropyridines, that block the L-type, or peptide toxins, such as -conotoxin or

Despite these difficulties, we succeeded in isolating a T-type calcium current in dissociated cells (Fig. 8). The protocol used was a rapid ramp (7 V/s) from –100 to 40 mV, in the presence of TTX (1M) and after substitution of Ca2+ with Sr2+, which in known to have a slightly higher permeability than Ca2+ in T-type Ca-channels (Takahashi et al.1991). Under these conditions, an inward inflection peaking at about –40 mV, distinct from the peak due to the L-type Ca-channels (Fig. 8A), could be seen. Nickel is a nonselective inhibitor of calcium channels, but transient low voltage-activated (LVA) T-type (Perchenet et al.2000; Wolfart and Roeper2002) Ca-channels are particularly sensitive (IC50 < 50 M; (Perez-Reyes et al.1998) whereas other HVA Cav channels (L-, P/Q, and N-type) are less sensitive (IC50 > 90 M; (Zhang et al.1993; Randall1998). In fact Nickel did selectively eliminate the first peak, leaving the second unaltered. The difference, averaged in three cells, is shown in figure 8B, and the conductance, calculated assuming a Ca2+ equilibrium potential of 45 mV, is illustrated in figure 8C. The current activates at potentials positive to –65 mV and peaks at about –35 mV, with a maximum conductance of 0.35 nS. The point of half activation is –45.3

mV, which is in line with the known values for this current (Perez-Reyes2003).

suppressed by ivabradina 10 μM, ZD7288 30 μM and Cs+ 1 mM (Fig. 9D).

A likely candidate for the pacemaking process was the inward rectifier current (Ih). In a previous work (Pignatelli et al.2005), analysing the excitability profile of DA PG cells, we failed to detect any significant component activated by hyperpolarization (Fig. 9A). It was therefore with some disconcert that we observed that a drug blocking the h-current (ivabradine, 10M) did block the spontaneous activity (see below). We then switched to ionic settings known to enhance the amplitude of the h-current, i.e. high [K+]o, using an external saline where [K+]o was 32.5 instead of 2.5 mM. In these conditions, we observed a measurable current activated by hyperpolarization (Fig. 9B), which could be separated in a classical inward rectifier (KIR) and a typical h-current (Fig. 9C). The h-current was

**2.6 h-current**

Fig. 7. Properties of HVA calcium currents. A – Calcium current recorded in response to depolarising voltage steps to potentials ranging from –70 to +50 mV from a holding potential of –100 mV. Above: tracings recorded in the presence of 1.2M TTX, 20 mM TEA in the extracellular solution, and with Cs+ as a substitute for K+ ions in the intracellular solution. Lower tracings were recorded in the same conditions after addition of 100M Cd2+. B – Barium currents recorded in the same conditions described for A. C – I/V relationship of Ca and Ba currents in a 10 neurones sample from thin slices. D – Activation time constant, measured in a 10 neurones sample by fitting a single exponential to the rising phase of the current. The continuous line is described by the equation: Ca(L) = 1.23 + exp (-V/74.6). E – Effect of 10M nifedipine on calcium current in a group of six TH-GFP PG cells in slices. F - Histogram showing the effect of nifedipine (10M, cells shown in E) and calcicludine (1M, not shown, n=7) measured at –10 mV.

We also tried to define if other types of HVA neuronal Cav channels (P/Q-, N-) were present in TH-GFP cells. Using classical blockers, like -conotoxin GVIA (0.82M) that blocks the N-type, or spider toxin -agatoxin IVA (10 nM) that blocks P/Q-type channels, we observed the suppression of a fraction of HVA Ca-current remaining after nifedipine block (at –10 mV 38% and 42%, respectively, not shown), suggesting the presence of limited amounts of the corresponding HVA Ca-channels.

Since the long-lasting HVA Cav currents were not directly involved in the pacemaker process (see below), and for the dominance of L- over N- and P/Q-type current, for the purpose of the numerical reconstruction of the electrical activity of these cells (see below), they were kinetically modelled as a unique, non inactivating component. The rising phase of the current was fitted by a single exponential, with a time constant of 1.2 + 0.3 ms at 0 mV (n=10, see legend of figure 7D for further details).

Since *in situ* hybridisation experiments have localised the expression of two transcripts (1G and 1I) of the T-type calcium channel in the glomerular layer of the olfactory bulb (Talley et al.1999; Klugbauer et al.1999), we checked for the presence of LVA Ca-current. Unfortunately several characteristics of these channels hampered their study in our preparation. First, contrary to the cardiac cells or transfected cells, in TH-GFP interneurones this current is small: we have calculated a maximum conductance of 0.35 nS, corresponding to a peak current of about 20 pA at –35 mV. The problem was further complicated by the fact that on one hand it was difficult to get accurate space clamping in slices, and on the other hand, in isolated cell preparations the current was difficult to resolve, probably because of the preferential localisation of these channels on the dendrites (Perez-Reyes2003). Second, the conductance of these channels cannot be significantly increased by substitution of Ca2+ with Ba2+ ions, as it can be done with HVA channels. Third, there are no effective pharmacological tools for the study of T-type Cachannels, because they are relatively resistant to most organic calcium channel blockers, such as dihydropyridines, that block the L-type, or peptide toxins, such as -conotoxin or -agatoxin.

Despite these difficulties, we succeeded in isolating a T-type calcium current in dissociated cells (Fig. 8). The protocol used was a rapid ramp (7 V/s) from –100 to 40 mV, in the presence of TTX (1M) and after substitution of Ca2+ with Sr2+, which in known to have a slightly higher permeability than Ca2+ in T-type Ca-channels (Takahashi et al.1991). Under these conditions, an inward inflection peaking at about –40 mV, distinct from the peak due to the L-type Ca-channels (Fig. 8A), could be seen. Nickel is a nonselective inhibitor of calcium channels, but transient low voltage-activated (LVA) T-type (Perchenet et al.2000; Wolfart and Roeper2002) Ca-channels are particularly sensitive (IC50 < 50 M; (Perez-Reyes et al.1998) whereas other HVA Cav channels (L-, P/Q, and N-type) are less sensitive (IC50 > 90 M; (Zhang et al.1993; Randall1998). In fact Nickel did selectively eliminate the first peak, leaving the second unaltered. The difference, averaged in three cells, is shown in figure 8B, and the conductance, calculated assuming a Ca2+ equilibrium potential of 45 mV, is illustrated in figure 8C. The current activates at potentials positive to –65 mV and peaks at about –35 mV, with a maximum conductance of 0.35 nS. The point of half activation is –45.3 mV, which is in line with the known values for this current (Perez-Reyes2003).

#### **2.6 h-current**

34 Electrophysiology – From Plants to Heart

Fig. 7. Properties of HVA calcium currents. A – Calcium current recorded in response to depolarising voltage steps to potentials ranging from –70 to +50 mV from a holding potential of –100 mV. Above: tracings recorded in the presence of 1.2M TTX, 20 mM TEA in the extracellular solution, and with Cs+ as a substitute for K+ ions in the intracellular solution. Lower tracings were recorded in the same conditions after addition of 100M Cd2+. B – Barium currents recorded in the same conditions described for A. C – I/V relationship of Ca and Ba currents in a 10 neurones sample from thin slices. D – Activation time constant, measured in a 10 neurones sample by fitting a single exponential to the rising phase of the current. The continuous line is described by the equation: Ca(L) = 1.23 + exp (-V/74.6). E – Effect of 10M nifedipine on calcium current in a group of six TH-GFP PG cells in slices. F - Histogram showing the effect of nifedipine (10M, cells shown in E) and

We also tried to define if other types of HVA neuronal Cav channels (P/Q-, N-) were present in TH-GFP cells. Using classical blockers, like -conotoxin GVIA (0.82M) that blocks the N-type, or spider toxin -agatoxin IVA (10 nM) that blocks P/Q-type channels, we observed the suppression of a fraction of HVA Ca-current remaining after nifedipine block (at –10 mV 38% and 42%, respectively, not shown), suggesting the presence of limited amounts of the

Since the long-lasting HVA Cav currents were not directly involved in the pacemaker process (see below), and for the dominance of L- over N- and P/Q-type current, for the purpose of the numerical reconstruction of the electrical activity of these cells (see below), they were kinetically modelled as a unique, non inactivating component. The rising phase of the current was fitted by a single exponential, with a time constant of 1.2 + 0.3 ms at 0 mV

calcicludine (1M, not shown, n=7) measured at –10 mV.

(n=10, see legend of figure 7D for further details).

corresponding HVA Ca-channels.

A likely candidate for the pacemaking process was the inward rectifier current (Ih). In a previous work (Pignatelli et al.2005), analysing the excitability profile of DA PG cells, we failed to detect any significant component activated by hyperpolarization (Fig. 9A). It was therefore with some disconcert that we observed that a drug blocking the h-current (ivabradine, 10M) did block the spontaneous activity (see below). We then switched to ionic settings known to enhance the amplitude of the h-current, i.e. high [K+]o, using an external saline where [K+]o was 32.5 instead of 2.5 mM. In these conditions, we observed a measurable current activated by hyperpolarization (Fig. 9B), which could be separated in a classical inward rectifier (KIR) and a typical h-current (Fig. 9C). The h-current was suppressed by ivabradina 10 μM, ZD7288 30 μM and Cs+ 1 mM (Fig. 9D).

Pacemaker Currents in Dopaminergic Neurones of the Mice Olfactory Bulb 37

Fig. 9. Properties of the h-current. A,B – Currents activated by hyperpolarizing steps in normal saline and in high K+, respectively. C – Currents activated by hyperpolarization in high K+ and after blockage of the KIR component with Ba2+ 0.5 mM. D – Same as C after addition of a blocker of the h-current (Cs+ 1 mM) E – Representative current traces for the analysis of activation. The membrane was held at -40 mV, depolarised to test voltages from - 60 to -130 mV in 10 mV increments. Ih tails were elicited in response to a second pulse to −130 mV, following test voltages (see methods for explanation) F – I/V relationship of the hcurrent for a group of 15 cells. G – Fractional activation of the h-current as a function of

After block of the h-current with ivabradine 10MA, and using high concentration of K+ in the external saline in order to enhance this KIR-current, a family of almost pure tracings could be evoked by hyperpolarising steps ranging from -50 to -130 mV in 10 mV increments, staring from a holding potential of -40 mV (Fig. 10A); the current could be rapidly and reversibly blocked by Ba2+ 0.2 mM (Fig. 10B), and from the I/V curves (Fig. 10C) we calculated a reversal potential of -44 mV (EK -33 mV), giving conductance of 2 nS at the

The presence of autorhythmic activity was the most salient feature of DA cells in the olfactory bulb, so the first efforts were aimed at elucidating the underlying mechanisms. We first tried to understand if the spontaneous activity was due to the presence of pacemaker currents or to synaptic mechanisms reverberating excitation from one cell to the other. Dissociated TH-GFP cells conserved their capacity of generating rhythmic activity, clearly indicating that this is an intrinsic property of these cells. Dissociated TH-GFP cells showed a spontaneous frequency of firing of 13.57 1.79 (n=24) and 15.75 3.12 (n=14) in whole-cell

voltage.

steady state.

**2.8 Spontaneous activity**

Fig. 8. Properties of the LVA calcium current. A – Voltage-clamp ramps were performed from –80 to +40 mV at a speed of 7 V/s in the presence of TTX (1M), and after substitution of Sr2+ for Ca2+; the traces were corrected for leakage. Under these conditions, a distinct bump can be seen preceding the HVA calcium current (here peaking at –10 mV), which is selectively suppressed by Ni2+ 100M. B - Transient Ca-current generated using the protocol described in A calculated by subtracting the current-voltage curves in control and in the presence of 100M Ni2+. The low-Ni2+ sensitive current (average from three cells) is activated at membrane potentials more positive than –60 mV. C – Conductance-voltage relationship of the low-Ni2+ sensitive current. The continuous line is a Boltzmann fit, with a midpoint at –45.3 mV and a maximum conductance of 0.35 nS. All recordings in this figure were performed from spontaneously bursting dissociated TH-GFP cells.

Ih was evoked by a family of seven hyperpolarizing voltage steps (step amplitude -10 mV; step duration 3 s) from the holding potential of -40 to - 130 mV. The steps were applied in 7 s intervals. *I*h was calculated as the difference between the membrane current at the end of the voltage step (*I*ss) and the instantaneous current (*I*inst) measured after the settling of the capacitative transient. To determine *I*h voltage dependence, activation curves were constructed from *I*h tail currents, which were calculated by subtracting the pre-step holding current from the peak of the tail current. The activation curves were fitted by the Boltzmann function to estimate the potential of half-activation (*V*50 , -91 mV) and the slope factor (*k,* 5 mV).

*I*h time dependence was studied by fitting current traces (from -100 to -130 mV) with a single exponential function. The activation time constant gave values ranging from 361 ± 112 ms at -100 mV to 155 ± 23 ms at -130 mV (n=10).

The reversal potential, calculated from the reversal of the tail currents (not shown) was -47 mV, from which the maximal conductance could be calculated, giving a value of 1.37 nS.

#### **2.7 KIR current**

KIR 2.1 channel subunits are highly expressed in the olfactory bulb, with the higher density in the glomerular layer (Prüss et al.2005), and KIR conductances are found in many dopaminergic systems, as in nucleus accumbens (Perez et al.2006) and substantia nigra (Bausch et al.1995). Here we describe a KIR conductance in the dopaminergic neurones of the olfactory bulb.

Fig. 8. Properties of the LVA calcium current. A – Voltage-clamp ramps were performed from –80 to +40 mV at a speed of 7 V/s in the presence of TTX (1M), and after substitution of Sr2+ for Ca2+; the traces were corrected for leakage. Under these conditions, a distinct bump can be seen preceding the HVA calcium current (here peaking at –10 mV), which is selectively suppressed by Ni2+ 100M. B - Transient Ca-current generated using the protocol described in A calculated by subtracting the current-voltage curves in control and in the presence of 100M Ni2+. The low-Ni2+ sensitive current (average from three cells) is activated at membrane potentials more positive than –60 mV. C – Conductance-voltage relationship of the low-Ni2+ sensitive current. The continuous line is a Boltzmann fit, with a midpoint at –45.3 mV and a maximum conductance of 0.35 nS. All recordings in this figure

Ih was evoked by a family of seven hyperpolarizing voltage steps (step amplitude -10 mV; step duration 3 s) from the holding potential of -40 to - 130 mV. The steps were applied in 7 s intervals. *I*h was calculated as the difference between the membrane current at the end of the voltage step (*I*ss) and the instantaneous current (*I*inst) measured after the settling of the capacitative transient. To determine *I*h voltage dependence, activation curves were constructed from *I*h tail currents, which were calculated by subtracting the pre-step holding current from the peak of the tail current. The activation curves were fitted by the Boltzmann function to estimate the potential of half-activation (*V*50 , -91 mV) and the slope factor

*I*h time dependence was studied by fitting current traces (from -100 to -130 mV) with a single exponential function. The activation time constant gave values ranging from 361 ± 112 ms at

The reversal potential, calculated from the reversal of the tail currents (not shown) was -47 mV, from which the maximal conductance could be calculated, giving a value of 1.37 nS.

KIR 2.1 channel subunits are highly expressed in the olfactory bulb, with the higher density in the glomerular layer (Prüss et al.2005), and KIR conductances are found in many dopaminergic systems, as in nucleus accumbens (Perez et al.2006) and substantia nigra (Bausch et al.1995). Here we describe a KIR conductance in the dopaminergic neurones of

were performed from spontaneously bursting dissociated TH-GFP cells.

(*k,* 5 mV).

**2.7 KIR current**

the olfactory bulb.

Fig. 9. Properties of the h-current. A,B – Currents activated by hyperpolarizing steps in normal saline and in high K+, respectively. C – Currents activated by hyperpolarization in high K+ and after blockage of the KIR component with Ba2+ 0.5 mM. D – Same as C after addition of a blocker of the h-current (Cs+ 1 mM) E – Representative current traces for the analysis of activation. The membrane was held at -40 mV, depolarised to test voltages from - 60 to -130 mV in 10 mV increments. Ih tails were elicited in response to a second pulse to −130 mV, following test voltages (see methods for explanation) F – I/V relationship of the hcurrent for a group of 15 cells. G – Fractional activation of the h-current as a function of voltage.

After block of the h-current with ivabradine 10MA, and using high concentration of K+ in the external saline in order to enhance this KIR-current, a family of almost pure tracings could be evoked by hyperpolarising steps ranging from -50 to -130 mV in 10 mV increments, staring from a holding potential of -40 mV (Fig. 10A); the current could be rapidly and reversibly blocked by Ba2+ 0.2 mM (Fig. 10B), and from the I/V curves (Fig. 10C) we calculated a reversal potential of -44 mV (EK -33 mV), giving conductance of 2 nS at the steady state.

#### **2.8 Spontaneous activity**

The presence of autorhythmic activity was the most salient feature of DA cells in the olfactory bulb, so the first efforts were aimed at elucidating the underlying mechanisms. We first tried to understand if the spontaneous activity was due to the presence of pacemaker currents or to synaptic mechanisms reverberating excitation from one cell to the other. Dissociated TH-GFP cells conserved their capacity of generating rhythmic activity, clearly indicating that this is an intrinsic property of these cells. Dissociated TH-GFP cells showed a spontaneous frequency of firing of 13.57 1.79 (n=24) and 15.75 3.12 (n=14) in whole-cell

Pacemaker Currents in Dopaminergic Neurones of the Mice Olfactory Bulb 39

Fig. 11. Effect of blockers of h-channels on spontaneous firing. A – Ivabradine (10M, bar) block of spontaneous activity; note the large hyperpolarization. At the times indicated by arrowheads, depolarising currents of increasing amplitudes were delivered. B - Enlargement of the response to the third injection of depolarising current (grey arrowhead) to show that the block of the h-current does not impairs the spontaneous activity, provided that the

The classical selective L-type Ca-channel antagonist nifedipine (10M), which blocked the long-lasting Ca-current by about two thirds (Fig. 7E and F), had no effect at all in the spontaneous firing frequency, either in cell-attached mode (Fig. 12C) or in whole-cell configuration, in a total of 6 cells recorded in slices. Also calcicludine (1M), a powerful although less selective HVA channel blocker (Schweitz et al.1994), which inhibited the longlasting Ca-channel component (73%, Fig. 7F), was equally ineffective, even after very long periods of application (Fig. 12E). Analogous results were obtained using other classical blockers of HVA Ca-channels, like -conotoxin GVIA (0.82M), which blocks the N-type, or spider toxin -agatoxin IVA (10 nM) which blocks P/Q-type channels. Both did suppress a fraction of the residual HVA Ca-current after nifedipine block (at –10 mV 38% and 42%, respectively), suggesting the presence of the corresponding types of HVA Ca-channels, but

Among the remaining candidates for a role in pacemaking was the LVA, T-type. Mibefradil, an anti-hypertensive drug, has been reported to inhibit T-type calcium channel current in cerebellar granule cells (Randall and Tsien1997), sensory neurones (Todorovic and

We therefore tried this drug, which proved to be considerably powerful in blocking the spontaneous activity of PG DA neurones, both in cell attached (Fig. 13A) and in whole-cell mode (Fig. 13B). Mibefradil (5 to 10M) completely and reversibly blocks the spontaneous activity, inducing an evident hyperpolarisation that on average amounted to about 15 mV (Fig. 13B). Nickel 100M, that we have shown to be a selective blocker of T-type calcium current in these cells (Fig. 8A), induced a reversible block of spontaneous firing, also accompanied by a hyperpolarisation of 10-15 mV (Fig. 13C), an effect almost superimposable to that observed with mibefradil, further confirming a role of ICa(T) in the

membrane is brought back to resting values.

none of them affected the spontaneous firing (not shown).

Lingle1998) and spinal motor neurones (Viana et al.1997).

pacemaking process.

Fig. 10. Properties of the KIR current. A – Family of responses to hyperpolarizing steps from -50 to -130 mV in 10 mV increments from the holding potential of -40 mV. The h-current was blocked by ivabradine 10M, and the external saline was modified with high K+ (32.5 mM) to enhance the KIR amplitude. B – Same as A, but with the addition of Ba2+ 0.2 mM. C - I/V relationship of the KIR-current measured at the onset (open circle) and at the steady state (filled circle), at the time points marked in A by the relative symbols; average values ± SE from 11 cells. The reversal potential, calculated from the intercept of the x-axis, was -44 mV, not too far from the EK, which was -33 mV.

and cell-attached modes respectively (Fig. 2D). This frequency was about double the corresponding value observed in thin slices, suggesting the existence in semi-intact tissue of some inhibitory control, possibly autoinhibition, which has not been further investigated in this study.

#### **2.9 The pacemaker currents**

We next tried to elucidate the ionic basis of the pacemaker current underlying the spontaneous firing.

The presence of the h-current, typically associated with the pacemaking process in a large number of autorhythmic cell (see (Wahl-Schott and Biel2009) for a review) has suggested that it could play its archetypal role also in bulbar DA neurons. The Ih blockade with ivabradine did break the spontaneous activity, but this effect was associated to a prominent hyperpolarization (Fig. 11A). It was therefore necessary to clarify if this block was the demonstration of a direct role of the h-current in the pacemaker mechanism, or only a secondary effect, due to the hyperpolarization. If, in the presence of ivabradine block, the membrane was depolarised to the original resting potential, then the spontaneous activity resumed immediately (Fig. 11B), clearly showing that the h-current had no direct role in it.

We next analysed the role of the Ca-current. Ca2+ is involved in the pacemaker process, as Cd2+ 100M completely and reversibly blocked the spontaneous firing (Fig 12B). Then, using a panel of different Cav channels inhibitors, we tried to define which types of neuronal Cav channels (L-, P/Q-, N-, R-, and T-type) contributed to the pacemaker current.

Fig. 10. Properties of the KIR current. A – Family of responses to hyperpolarizing steps from -50 to -130 mV in 10 mV increments from the holding potential of -40 mV. The h-current was blocked by ivabradine 10M, and the external saline was modified with high K+ (32.5 mM) to enhance the KIR amplitude. B – Same as A, but with the addition of Ba2+ 0.2 mM. C - I/V relationship of the KIR-current measured at the onset (open circle) and at the steady state (filled circle), at the time points marked in A by the relative symbols; average values ± SE from 11 cells. The reversal potential, calculated from the intercept of the x-axis, was -44 mV,

and cell-attached modes respectively (Fig. 2D). This frequency was about double the corresponding value observed in thin slices, suggesting the existence in semi-intact tissue of some inhibitory control, possibly autoinhibition, which has not been further investigated in

We next tried to elucidate the ionic basis of the pacemaker current underlying the

The presence of the h-current, typically associated with the pacemaking process in a large number of autorhythmic cell (see (Wahl-Schott and Biel2009) for a review) has suggested that it could play its archetypal role also in bulbar DA neurons. The Ih blockade with ivabradine did break the spontaneous activity, but this effect was associated to a prominent hyperpolarization (Fig. 11A). It was therefore necessary to clarify if this block was the demonstration of a direct role of the h-current in the pacemaker mechanism, or only a secondary effect, due to the hyperpolarization. If, in the presence of ivabradine block, the membrane was depolarised to the original resting potential, then the spontaneous activity resumed immediately (Fig. 11B), clearly showing that the h-current had no direct role in it. We next analysed the role of the Ca-current. Ca2+ is involved in the pacemaker process, as Cd2+ 100M completely and reversibly blocked the spontaneous firing (Fig 12B). Then, using a panel of different Cav channels inhibitors, we tried to define which types of neuronal

Cav channels (L-, P/Q-, N-, R-, and T-type) contributed to the pacemaker current.

not too far from the EK, which was -33 mV.

**2.9 The pacemaker currents**

spontaneous firing.

this study.

Fig. 11. Effect of blockers of h-channels on spontaneous firing. A – Ivabradine (10M, bar) block of spontaneous activity; note the large hyperpolarization. At the times indicated by arrowheads, depolarising currents of increasing amplitudes were delivered. B - Enlargement of the response to the third injection of depolarising current (grey arrowhead) to show that the block of the h-current does not impairs the spontaneous activity, provided that the membrane is brought back to resting values.

The classical selective L-type Ca-channel antagonist nifedipine (10M), which blocked the long-lasting Ca-current by about two thirds (Fig. 7E and F), had no effect at all in the spontaneous firing frequency, either in cell-attached mode (Fig. 12C) or in whole-cell configuration, in a total of 6 cells recorded in slices. Also calcicludine (1M), a powerful although less selective HVA channel blocker (Schweitz et al.1994), which inhibited the longlasting Ca-channel component (73%, Fig. 7F), was equally ineffective, even after very long periods of application (Fig. 12E). Analogous results were obtained using other classical blockers of HVA Ca-channels, like -conotoxin GVIA (0.82M), which blocks the N-type, or spider toxin -agatoxin IVA (10 nM) which blocks P/Q-type channels. Both did suppress a fraction of the residual HVA Ca-current after nifedipine block (at –10 mV 38% and 42%, respectively), suggesting the presence of the corresponding types of HVA Ca-channels, but none of them affected the spontaneous firing (not shown).

Among the remaining candidates for a role in pacemaking was the LVA, T-type. Mibefradil, an anti-hypertensive drug, has been reported to inhibit T-type calcium channel current in cerebellar granule cells (Randall and Tsien1997), sensory neurones (Todorovic and Lingle1998) and spinal motor neurones (Viana et al.1997).

We therefore tried this drug, which proved to be considerably powerful in blocking the spontaneous activity of PG DA neurones, both in cell attached (Fig. 13A) and in whole-cell mode (Fig. 13B). Mibefradil (5 to 10M) completely and reversibly blocks the spontaneous activity, inducing an evident hyperpolarisation that on average amounted to about 15 mV (Fig. 13B). Nickel 100M, that we have shown to be a selective blocker of T-type calcium current in these cells (Fig. 8A), induced a reversible block of spontaneous firing, also accompanied by a hyperpolarisation of 10-15 mV (Fig. 13C), an effect almost superimposable to that observed with mibefradil, further confirming a role of ICa(T) in the pacemaking process.

Pacemaker Currents in Dopaminergic Neurones of the Mice Olfactory Bulb 41

Finally, we investigated the role of the KIR-current on spontaneous activity. The block of the KIR channels with Ba2+ 1 mM induced a large depolarization (on average 12 mV),

The effect is illustrated in Fig. 14: a progressive depolarization leads to a complete break of spontaneous activity with a stop at a very depolarised potential (-30 mV in the example shown in figure). In these conditions, the injection of hyperpolarizing currents allows a complete recovery of spontaneous firing, suggesting that the KIR currents plays a relevant role in determining the resting membrane potential, but not in the

Fig. 14. Effect of blockers of KIR-channels on spontaneous firing. Ba2+ (0.5 mM) was applied in the bath 60 s before the beginning of the record; note the progressive depolarization and the stop of any activity in a depolarised state. In this condition, a hyperpolarizing current of

Finally, we have modelled the bulbar DA neurones in Hodgkin-Huxley terms (Hodgkin and Huxley1952), considering the cell as a single electrical and spatial compartment. As for the conductances considered, we incorporated the two sodium currents (fast transient and persistent), the L-type Ca-current, the delayed rectifier K-current, all according to the experimental data presented above, and the T-type calcium current. Since our characterisation of this current was incomplete (and because of the difficulty in obtaining a complete kinetic description of this current), in our model we have integrated our data with others derived from the literature (Wang et al.1996; Perez-Reyes2003), and consistent with

All the equations and parameters used, as well as the assumptions made, are listed in the appendix. The solution of the set of differential equations describing the kinetics of the currents considered lead to the tracings reported in Fig. 15. The model we set up shows intrinsic spiking capabilities with full-size action potentials at the same frequencies observed in TH-GFP cells. The model behaves much like the cells studied: each action potential is followed by a slow depolarisation which brings the model cell at the fast sodium channel

8 pA restores the resting potential, restarting the spontaneous activity.

**2.10 Modelling the natural burst firing in bulbar DA neurones**

accompanied by a complete stopover of the spontaneous firing.

pacemaking process.

our experimental data.

threshold, and initiating a new Hodgkin cycle.

Fig. 12. Effect of blockers of HVA Ca-channels on spontaneous firing. A-B – Effect of the Cd2+ (100M) on action currents recorded in cell attached mode. C – Effect of L-type Cachannel antagonist, nifedipine (10M). D-E – Effect of L-type Ca-channel antagonist calcicludine (1M), recorded 15 min after application.

Fig. 13. Effect of blockers of LVA Ca-channels on spontaneous firing. A – Effect of the T-type Ca-channel blocker mibefradil (10M) on action currents recorded in cell attached mode. B – Effect of mibefradil in a different TH-GFP cell, recorded in whole-cell configuration. C – Effect of nickel 100M on spontaneous firing.

Fig. 12. Effect of blockers of HVA Ca-channels on spontaneous firing. A-B – Effect of the Cd2+ (100M) on action currents recorded in cell attached mode. C – Effect of L-type Cachannel antagonist, nifedipine (10M). D-E – Effect of L-type Ca-channel antagonist

Fig. 13. Effect of blockers of LVA Ca-channels on spontaneous firing. A – Effect of the T-type Ca-channel blocker mibefradil (10M) on action currents recorded in cell attached mode. B – Effect of mibefradil in a different TH-GFP cell, recorded in whole-cell configuration. C –

calcicludine (1M), recorded 15 min after application.

Effect of nickel 100M on spontaneous firing.

Finally, we investigated the role of the KIR-current on spontaneous activity. The block of the KIR channels with Ba2+ 1 mM induced a large depolarization (on average 12 mV), accompanied by a complete stopover of the spontaneous firing.

The effect is illustrated in Fig. 14: a progressive depolarization leads to a complete break of spontaneous activity with a stop at a very depolarised potential (-30 mV in the example shown in figure). In these conditions, the injection of hyperpolarizing currents allows a complete recovery of spontaneous firing, suggesting that the KIR currents plays a relevant role in determining the resting membrane potential, but not in the pacemaking process.

Fig. 14. Effect of blockers of KIR-channels on spontaneous firing. Ba2+ (0.5 mM) was applied in the bath 60 s before the beginning of the record; note the progressive depolarization and the stop of any activity in a depolarised state. In this condition, a hyperpolarizing current of 8 pA restores the resting potential, restarting the spontaneous activity.

#### **2.10 Modelling the natural burst firing in bulbar DA neurones**

Finally, we have modelled the bulbar DA neurones in Hodgkin-Huxley terms (Hodgkin and Huxley1952), considering the cell as a single electrical and spatial compartment. As for the conductances considered, we incorporated the two sodium currents (fast transient and persistent), the L-type Ca-current, the delayed rectifier K-current, all according to the experimental data presented above, and the T-type calcium current. Since our characterisation of this current was incomplete (and because of the difficulty in obtaining a complete kinetic description of this current), in our model we have integrated our data with others derived from the literature (Wang et al.1996; Perez-Reyes2003), and consistent with our experimental data.

All the equations and parameters used, as well as the assumptions made, are listed in the appendix. The solution of the set of differential equations describing the kinetics of the currents considered lead to the tracings reported in Fig. 15. The model we set up shows intrinsic spiking capabilities with full-size action potentials at the same frequencies observed in TH-GFP cells. The model behaves much like the cells studied: each action potential is followed by a slow depolarisation which brings the model cell at the fast sodium channel threshold, and initiating a new Hodgkin cycle.

Pacemaker Currents in Dopaminergic Neurones of the Mice Olfactory Bulb 43

Fifth, small changes in the parameters of INa(F) and of IK(V), such as the half activation point shift of a few millivolts, were sufficient to arrest spontaneous firing but did not affect the capacity to respond with single action potentials to depolarising stimuli. This proves that the pacemaking process is due to an interplay of conductances which are in a delicate and precise equilibrium. Furthermore it confirms the model is capable of capturing the essential

The model thus confirms that, in addition to INa(P), another component is necessary to sustain repetitive firing, a T-type calcium current. Together with the experimental finding that treatments which block ICa(T), such as mibefradil and nickel at micromolar concentrations, are both capable of preventing repetitive firing. Therefore, it appears that

This study aims at providing a description as comprehensive as possible of the functional properties of DA neurones in the mammalian olfactory bulb. The animal model used for these experiments, a strain of transgenic mice expressing a reporter protein under the TH promoter (Sawamoto et al.2001; Matsushita et al.2002), allows an easy identification of DA neurones both in thin slices and dissociated cells, proving to be a superb tool for targeting live DA neurones in electrophysiological studies. The main results obtained are the demonstration that DA neurones in the OB are autorhythmic, and the description of the

Neurones expressing high levels of the reporter protein were found in the glomerular layer, as expected from abundant literature, indicating that this is the only region of the main olfactory bulb where TH is expressed (Halász1990; Kratskin and Belluzzi2003). A previous study in the same mice strain has demonstrated an overlapping expression of the fluorescent reporter and TH protein in olfactory bulb only in those DA neurons that

DA neurones in the mice OB have a complement of voltage-dependent currents, which have been kinetically characterised in our study. Among these, the persistent Na current deserves some comment. Many neurones in the mammalian CNS have a non-inactivating component of the TTX-sensitive sodium current (Crill1996). Although its magnitude in bulbar DA neurones is about 0.5 % of the transient sodium current, INa(P) appears to have an important functional significance because it is activated at potentials 8-10 mV more negative than the transient sodium current. At this potential few voltage-gated channels are activated and the neuron input resistance is high. The conductance-voltage relationship for gNa(P) in TH-GFP DA neurones has a half-activation point at –47.7 mV, very close to the values found in hippocampal CA1 neurones (French et al.1990), and pyramidal neurones of the neocortex (Brown et al.1994). Although this current might appear small, 7.3 pA at –60 mV (Fig. 6A), it suffices to depolarise the cell membrane of these cells, which have an average input

We have considered the possibility that INa(P) is in fact a window current, the steady current predicted by the HH model and arising from overlap of the steady-state activation and

features of the excitability profile of these cells.

**3. Discussion**

such current is an essential component of the pacemaking process.

interplay of subthreshold currents underlying intrinsic spiking.

received afferent stimulation from receptor cells (Baker et al.2003).

resistance of 700 M, by about 5 mV.

**3.1 Distribution and general properties of DA neurones**

Fig. 15. Numerical reconstitution of spontaneous activity in TH-GFP PG cells. A - Voltage tracings. B - Current tracings including the five conductances: INa(F), INa(P), ICa(T), ICa(L), IK(V). C, D - Enlargement of the last two events of panels A-B to show the pacemaking process. In D the outward current has been omitted, and the inward currents have been amplified by a factor of about 500 with respect to panel B.

The model is effective to verify the accuracy of the kinetics calculated, and it is particularly useful to understand the details of the interplay of the currents underlying the pacemaking process. The main findings provided by the numerical simulations can be summarised as follows.

First, during the interspike interval, the currents present which cause the progressive depolarisation of the cell are, in order, the T-type calcium current, and then the persistent sodium current. These currents are amazingly small in amplitude (max 4 pA) compared with fast transient sodium and delayed rectifier potassium currents associated to the action potential (about 1 nA), but nevertheless they are sufficient to depolarise these cells, due to their rather high input resistance (about 700 M.

Second, both INa(P) and ICa(T) are necessary to sustain spontaneous firing as the selective block of one or both abolish spontaneous activity: the model cell is still capable of responding with a single action potential to the injection of a depolarising current pulse, but it fails to fire repetitively.

Third, the model suggests that it is the T-type calcium current which sets in motion the depolarising process: although essential to the rhythm generation, INa(P) replaces ICa(T) only in the second half of the depolarising phase. The T-type calcium conductance amplitude is critical in determining the firing frequency: small changes in its value (from 0.35 to 0.4 nS) are sufficient to drive the intrinsic spiking from 8 Hz to 16 Hz.

Fourth, the HVA calcium currents are unnecessary for the pacemaking process, and their suppression has no consequence on the frequency of spontaneous firing, exactly as in living TH-GFP cells.

Fifth, small changes in the parameters of INa(F) and of IK(V), such as the half activation point shift of a few millivolts, were sufficient to arrest spontaneous firing but did not affect the capacity to respond with single action potentials to depolarising stimuli. This proves that the pacemaking process is due to an interplay of conductances which are in a delicate and precise equilibrium. Furthermore it confirms the model is capable of capturing the essential features of the excitability profile of these cells.

The model thus confirms that, in addition to INa(P), another component is necessary to sustain repetitive firing, a T-type calcium current. Together with the experimental finding that treatments which block ICa(T), such as mibefradil and nickel at micromolar concentrations, are both capable of preventing repetitive firing. Therefore, it appears that such current is an essential component of the pacemaking process.

#### **3. Discussion**

42 Electrophysiology – From Plants to Heart

Fig. 15. Numerical reconstitution of spontaneous activity in TH-GFP PG cells. A - Voltage tracings. B - Current tracings including the five conductances: INa(F), INa(P), ICa(T), ICa(L), IK(V). C, D - Enlargement of the last two events of panels A-B to show the pacemaking process. In D the outward current has been omitted, and the inward currents have been amplified by a

The model is effective to verify the accuracy of the kinetics calculated, and it is particularly useful to understand the details of the interplay of the currents underlying the pacemaking process. The main findings provided by the numerical simulations can be summarised as

First, during the interspike interval, the currents present which cause the progressive depolarisation of the cell are, in order, the T-type calcium current, and then the persistent sodium current. These currents are amazingly small in amplitude (max 4 pA) compared with fast transient sodium and delayed rectifier potassium currents associated to the action potential (about 1 nA), but nevertheless they are sufficient to depolarise these cells, due to

Second, both INa(P) and ICa(T) are necessary to sustain spontaneous firing as the selective block of one or both abolish spontaneous activity: the model cell is still capable of responding with a single action potential to the injection of a depolarising current pulse, but it fails to fire

Third, the model suggests that it is the T-type calcium current which sets in motion the depolarising process: although essential to the rhythm generation, INa(P) replaces ICa(T) only in the second half of the depolarising phase. The T-type calcium conductance amplitude is critical in determining the firing frequency: small changes in its value (from 0.35 to 0.4 nS)

Fourth, the HVA calcium currents are unnecessary for the pacemaking process, and their suppression has no consequence on the frequency of spontaneous firing, exactly as in living

factor of about 500 with respect to panel B.

their rather high input resistance (about 700 M.

are sufficient to drive the intrinsic spiking from 8 Hz to 16 Hz.

follows.

repetitively.

TH-GFP cells.

This study aims at providing a description as comprehensive as possible of the functional properties of DA neurones in the mammalian olfactory bulb. The animal model used for these experiments, a strain of transgenic mice expressing a reporter protein under the TH promoter (Sawamoto et al.2001; Matsushita et al.2002), allows an easy identification of DA neurones both in thin slices and dissociated cells, proving to be a superb tool for targeting live DA neurones in electrophysiological studies. The main results obtained are the demonstration that DA neurones in the OB are autorhythmic, and the description of the interplay of subthreshold currents underlying intrinsic spiking.

#### **3.1 Distribution and general properties of DA neurones**

Neurones expressing high levels of the reporter protein were found in the glomerular layer, as expected from abundant literature, indicating that this is the only region of the main olfactory bulb where TH is expressed (Halász1990; Kratskin and Belluzzi2003). A previous study in the same mice strain has demonstrated an overlapping expression of the fluorescent reporter and TH protein in olfactory bulb only in those DA neurons that received afferent stimulation from receptor cells (Baker et al.2003).

DA neurones in the mice OB have a complement of voltage-dependent currents, which have been kinetically characterised in our study. Among these, the persistent Na current deserves some comment. Many neurones in the mammalian CNS have a non-inactivating component of the TTX-sensitive sodium current (Crill1996). Although its magnitude in bulbar DA neurones is about 0.5 % of the transient sodium current, INa(P) appears to have an important functional significance because it is activated at potentials 8-10 mV more negative than the transient sodium current. At this potential few voltage-gated channels are activated and the neuron input resistance is high. The conductance-voltage relationship for gNa(P) in TH-GFP DA neurones has a half-activation point at –47.7 mV, very close to the values found in hippocampal CA1 neurones (French et al.1990), and pyramidal neurones of the neocortex (Brown et al.1994). Although this current might appear small, 7.3 pA at –60 mV (Fig. 6A), it suffices to depolarise the cell membrane of these cells, which have an average input resistance of 700 M, by about 5 mV.

We have considered the possibility that INa(P) is in fact a window current, the steady current predicted by the HH model and arising from overlap of the steady-state activation and

Pacemaker Currents in Dopaminergic Neurones of the Mice Olfactory Bulb 45

potential, therefore, whose influence on the interplay of pacemaker currents can be well understood with the numerical model proposed, can be adjusted in either directions by a modulation of the two hyperpolarization-activated currents. Both currents can be modulated by a variety of neurotransmitters (see (Biel et al.2009) and (Hibino et al.2010) for recent reviews on h-current and KIR, respectively). Interestingly, some intracellular pathway, like AC/cAMP, can act on both Ih and KIR, enhancing the first and hampering the second (Podda et al.2010); the contrary effect is also observed, e.g. in the rat substantia nigra neurones, where bath application of noradrenaline or dopamine both inhibit Ih and increase the KIR conductance (Cathala and Paupardin-Tritsch1999). Elucidating these interactions will be a critical step in order to understand the functioning of these cells and, in a longer perspective, the still elusive role of dopaminergic neurones in signal processing in the

Our results, and especially the indication that DA neurones in the glomerular layer are

It is known that the glomerular neuropile, far from being a homogeneous structure, shows a complex subcompartimental organisation: within a single glomerulus, olfactory nerve (ON) islets delimit areas in which dendritic branches receive sensory input from ON terminals, and are well separated from non-ON zones, from which ON terminals are excluded (Chao et al.1997; Kasowski et al.1999; Toida et al.2000). Some TH-immunoreactive PG cells arborise on the ON islets, others in the non-ON zone (Kosaka et al.1997). Although it has been reported that in some mouse strains TH positive cells are not in contact with ON terminals (Weruaga et al.2000), in the strain used for these experiments – C57BL/6J, one of the most commons - such contacts have been demonstrated (T. Kosaka and K. Kosaka, personal

The glomerular compartmentalisation supports the hypothesis that information processing is subdivided regionally within the mammalian glomerulus (Kasowski et al.1999). DA neurones establishing contacts in ON- or in non-ON zones, possibly play different roles. Within the ON zones, dendrites of DA neurones receive excitatory synapses from ON axon terminals (Chao et al.1997; Kasowski et al.1999; Toida et al.2000). It has been reported that D2 dopaminergic receptors are located in ON terminals (Levey et al.1993; Coronas et al.1997), and electrophysiological studies have shown that their activation can reduce the probability of glutamate release, and hence the excitation of projection neurones (Duchamp-Viret et al.1997; Hsia et al.1999; Berkowicz and Trombley2000; Ennis et al.2001). In fact, the most significant impact of DA neurones is expected at the level of the synaptic triad formed by the ON and the dendrites of mitral/tufted (MT) cells and PG cells (Bardoni et al.1996), where DA neurones directly control the input of projection neurones from receptor cell axons (Brünig et al.1999). Since the ON islets appear to be further segregated from the rest of the glomerular neuropile due to the presence of "glial wraps" (Kasowski et al.1999), the spontaneous activity of DA neurones (which implies continuous release of dopamine within

In addition, DA neurones send their dendrites also in non-ON zones, where they contact dendrites of projection neurones and interneurons, and centrifugal axons. Projection

a restricted space), would create a condition of tonic inhibition of the ON.

olfactory bulb.

communication).

**3.4 Significance to olfactory function**

autorhythmic, open the field to many speculations.

inactivation curves for sodium conductance (Attwell et al.1979; Colatsky1982). Based on the kinetic analysis of the fast Na-current described in the previous paragraph (Fig. 4H), we calculated the window current at different potentials. The numerical simulation indicates this current does provide a measurable contribution to the TTX-sensitive persistent inward current. However, this contribution, which is maximum at –55 mV, becomes virtually zero at –30 mV (Fig. 4H), the potential at which the persistent sodium current displays its maximum amplitude (Fig. 6A). In other words, INa(P) and the window current of INa(F) develop at different potentials, and therefore are distinct currents.

#### **3.2 Interaction of ionic currents to produce spontaneous firing**

The pharmacological treatments, ion substitution experiments, kinetic analysis and numerical simulations allow a rather precise understanding of mechanisms underlying spontaneous firing in TH-GFP cells. The analysis indicates that the slow depolarisation between spikes results from an interplay between the persistent, tetrodotoxin-sensitive sodium current and the T-type calcium current.

The role of a calcium current in rhythm generation is revealed by the rapid and reversible block of the spontaneous firing by Cd2+, both in slices and in dissociated cells (Fig. 12B). However, among the many HVA Ca-channels present in the DA neurones of the olfactory bulb (a large L-, and smaller N- and P/Q types), none proved to be effective in the control of spontaneous firing. On the contrary, conditions which are known to block the LVA T-type Ca-channels (mibefradil and nickel in the micromolar range) did break off the spontaneous activity.

We developed a numerical HH-type model (Hodgkin and Huxley1952), based on the kinetic characterisation of the voltage-dependent currents described above, which appears to be capable of reproducing fairly well the behaviour of TH-GFP cells. The model was designed in order to verify the accuracy of our kinetic analysis, and, moreover, in order to understand the mechanisms underlying the intrinsic spiking.

Our model reproduces the properties of real neurones, and clearly indicates that the rhythm generation requires the presence of both INa(P) and ICa(T): in the absence of any of the two currents, the model can respond with a single action potential to a depolarising pulse, but is unable to produce repetitive firing.

The model shows that the current which sets in motion the spontaneous spiking is the Ttype calcium current, which in turn brings into play the persistent sodium current. In spite of the limits inherent to this type of models, we note that small changes in the kinetic parameters lead to the loss of intrinsic spiking but not of the capacity of the cell to respond with a single action potential to the "injection" of a short depolarising current step, thus suggesting that the model has captured the essential features of the real cell.

#### **3.3 The role of hyperpolarization-activated currents**

Our results exclude a direct contribution of the h-current to the spontaneous firing and, although less conclusively, also for the KIR current. However, it is of great interest that, as we show, both currents exert a powerful control on the resting membrane potential, the first depolarising, the second hyperpolarising the membrane at rest. The resting membrane potential, therefore, whose influence on the interplay of pacemaker currents can be well understood with the numerical model proposed, can be adjusted in either directions by a modulation of the two hyperpolarization-activated currents. Both currents can be modulated by a variety of neurotransmitters (see (Biel et al.2009) and (Hibino et al.2010) for recent reviews on h-current and KIR, respectively). Interestingly, some intracellular pathway, like AC/cAMP, can act on both Ih and KIR, enhancing the first and hampering the second (Podda et al.2010); the contrary effect is also observed, e.g. in the rat substantia nigra neurones, where bath application of noradrenaline or dopamine both inhibit Ih and increase the KIR conductance (Cathala and Paupardin-Tritsch1999). Elucidating these interactions will be a critical step in order to understand the functioning of these cells and, in a longer perspective, the still elusive role of dopaminergic neurones in signal processing in the olfactory bulb.

#### **3.4 Significance to olfactory function**

44 Electrophysiology – From Plants to Heart

inactivation curves for sodium conductance (Attwell et al.1979; Colatsky1982). Based on the kinetic analysis of the fast Na-current described in the previous paragraph (Fig. 4H), we calculated the window current at different potentials. The numerical simulation indicates this current does provide a measurable contribution to the TTX-sensitive persistent inward current. However, this contribution, which is maximum at –55 mV, becomes virtually zero at –30 mV (Fig. 4H), the potential at which the persistent sodium current displays its maximum amplitude (Fig. 6A). In other words, INa(P) and the window current of INa(F)

The pharmacological treatments, ion substitution experiments, kinetic analysis and numerical simulations allow a rather precise understanding of mechanisms underlying spontaneous firing in TH-GFP cells. The analysis indicates that the slow depolarisation between spikes results from an interplay between the persistent, tetrodotoxin-sensitive

The role of a calcium current in rhythm generation is revealed by the rapid and reversible block of the spontaneous firing by Cd2+, both in slices and in dissociated cells (Fig. 12B). However, among the many HVA Ca-channels present in the DA neurones of the olfactory bulb (a large L-, and smaller N- and P/Q types), none proved to be effective in the control of spontaneous firing. On the contrary, conditions which are known to block the LVA T-type Ca-channels (mibefradil and nickel in the micromolar range) did break off the spontaneous

We developed a numerical HH-type model (Hodgkin and Huxley1952), based on the kinetic characterisation of the voltage-dependent currents described above, which appears to be capable of reproducing fairly well the behaviour of TH-GFP cells. The model was designed in order to verify the accuracy of our kinetic analysis, and, moreover, in order to understand

Our model reproduces the properties of real neurones, and clearly indicates that the rhythm generation requires the presence of both INa(P) and ICa(T): in the absence of any of the two currents, the model can respond with a single action potential to a depolarising pulse, but is

The model shows that the current which sets in motion the spontaneous spiking is the Ttype calcium current, which in turn brings into play the persistent sodium current. In spite of the limits inherent to this type of models, we note that small changes in the kinetic parameters lead to the loss of intrinsic spiking but not of the capacity of the cell to respond with a single action potential to the "injection" of a short depolarising current step, thus

Our results exclude a direct contribution of the h-current to the spontaneous firing and, although less conclusively, also for the KIR current. However, it is of great interest that, as we show, both currents exert a powerful control on the resting membrane potential, the first depolarising, the second hyperpolarising the membrane at rest. The resting membrane

suggesting that the model has captured the essential features of the real cell.

develop at different potentials, and therefore are distinct currents.

**3.2 Interaction of ionic currents to produce spontaneous firing**

sodium current and the T-type calcium current.

the mechanisms underlying the intrinsic spiking.

**3.3 The role of hyperpolarization-activated currents**

unable to produce repetitive firing.

activity.

Our results, and especially the indication that DA neurones in the glomerular layer are autorhythmic, open the field to many speculations.

It is known that the glomerular neuropile, far from being a homogeneous structure, shows a complex subcompartimental organisation: within a single glomerulus, olfactory nerve (ON) islets delimit areas in which dendritic branches receive sensory input from ON terminals, and are well separated from non-ON zones, from which ON terminals are excluded (Chao et al.1997; Kasowski et al.1999; Toida et al.2000). Some TH-immunoreactive PG cells arborise on the ON islets, others in the non-ON zone (Kosaka et al.1997). Although it has been reported that in some mouse strains TH positive cells are not in contact with ON terminals (Weruaga et al.2000), in the strain used for these experiments – C57BL/6J, one of the most commons - such contacts have been demonstrated (T. Kosaka and K. Kosaka, personal communication).

The glomerular compartmentalisation supports the hypothesis that information processing is subdivided regionally within the mammalian glomerulus (Kasowski et al.1999). DA neurones establishing contacts in ON- or in non-ON zones, possibly play different roles. Within the ON zones, dendrites of DA neurones receive excitatory synapses from ON axon terminals (Chao et al.1997; Kasowski et al.1999; Toida et al.2000). It has been reported that D2 dopaminergic receptors are located in ON terminals (Levey et al.1993; Coronas et al.1997), and electrophysiological studies have shown that their activation can reduce the probability of glutamate release, and hence the excitation of projection neurones (Duchamp-Viret et al.1997; Hsia et al.1999; Berkowicz and Trombley2000; Ennis et al.2001). In fact, the most significant impact of DA neurones is expected at the level of the synaptic triad formed by the ON and the dendrites of mitral/tufted (MT) cells and PG cells (Bardoni et al.1996), where DA neurones directly control the input of projection neurones from receptor cell axons (Brünig et al.1999). Since the ON islets appear to be further segregated from the rest of the glomerular neuropile due to the presence of "glial wraps" (Kasowski et al.1999), the spontaneous activity of DA neurones (which implies continuous release of dopamine within a restricted space), would create a condition of tonic inhibition of the ON.

In addition, DA neurones send their dendrites also in non-ON zones, where they contact dendrites of projection neurones and interneurons, and centrifugal axons. Projection

Pacemaker Currents in Dopaminergic Neurones of the Mice Olfactory Bulb 47

Brown AM, Schwindt PC, Crill WE (1994): Different voltage dependence of transient and

Brünig I, Sommer M, Hatt H, Bormann J (1999): Dopamine receptor subtypes modulate

Cathala L, Paupardin-Tritsch D (1999): Effect of catecholamines on the hyperpolarization-

Chao TI, Kasa P, Wolff JR (1997): Distribution of astroglia in glomeruli of the rat main

Colatsky TJ (1982): Mechanisms of action of lidocaine and quinidine on action potential

Coronas V, Srivastava LK, Liang JJ, Jourdan F, Moyse E (1997): Identification and

Crill WE (1996): Persistent sodium current in mammalian central neurons. *Annu Rev Physiol*

Davila NG, Blakemore LJ, Trombley PQ (2003): Dopamine modulates synaptic transmission between rat olfactory bulb neurons in culture. *J Neurophysiol* 90:395-404. Doty RL, Risser JM (1989): Influence of the D-2 dopamine receptor agonist quinpirole on the

Duchamp-Viret P, Coronas V, Delaleu JC, Moyse E, Duchamp A (1997): Dopaminergic

Feigenspan A, Gustincich S, Bean BP, Raviola E (1998): Spontaneous activity of solitary

French CR, Sah P, Buckett KJ, Gage PW (1990): A voltage-dependent persistent sodium current in mammalian hippocampal neurons. *J Gen Physiol* 95:1139-1157. Gall CM, Hendry SH, Seroogy KB, Jones EG, Haycock JW (1987): Evidence for coexistence of

Grace AA, Onn SP (1989): Morphology and electrophysiological properties of

Gross CG (2000): Neurogenesis in the adult brain: death of a dogma. *Nat Rev Neurosci* 1:67-

Gustincich S, Feigenspan A, Wu DK, Koopman LJ, Raviola E (1997): Control of dopamine release in the retina: a transgenic approach to neural networks. *Neuron* 18:723-736.

dopaminergic cells of the retina. *J Neurosci* 18:6776-6789.

radioligand binding electrophysiological study. *Neuroscience* 79:203-216. Ennis M, Zhou FM, Ciombor KJ, Aroniadou-Anderjaska V, Hayar A, Borrelli E, *et al* (2001):

substantia nigra pars compacta. *Eur J Neurosci* 11:398-406.

channels. *J Neurophysiol* 71:2562-2565.

96:2456-2460.

*Neurol* 388:191-210.

58:349-362.

318.

73.

*Neurosci* 9:3463-3481.

currents? *Circ Res* 50:17-27.

*Chem Neuroanat* 12:243-257.

*Psychopharmacology (Berl)* 98:310-315.

terminals. *J Neurophysiol* 86:2986-2997.

persistent Na+ currents is compatible with modal-gating hypothesis for sodium

olfactory bulb gamma-aminobutyric acid type A receptors. *Proc Natl Acad Sci USA*

activated cationic Ih and the inwardly rectifying potassium I(Kir) currents in the rat

olfactory bulb: exclusion from the sensory subcompartment of neuropil. *J Comp*

duration in rabbit cardiac Purkinje fibers. An effect on steady state sodium

localization of dopamine receptor subtypes in rat olfactory mucosa and bulb: a combined in situ hybridization and ligand binding radioautographic approach. *J*

odor detection performance of rats before and after spiperone administration.

modulation of mitral cell activity in the frog olfactory bulb: A combined

Dopamine D2 receptor-mediated presynaptic inhibition of olfactory nerve

GABA and dopamine in neurons of the rat olfactory bulb. *J Comp Neurol* 266:307-

immunocytochemically identified rat dopamine neurons recorded in vitro. *J*

neurones express D1 and D2 receptors (Brünig et al.1999; Davila et al.2003) , and it has been shown that dopamine exerts a complex modulatory action between them and interneurons (*ibidem*), an effect that also in this case would be amplified by the restricted space of the glomerular neuropile. Within this framework, dopamine might play a central role in the processing of olfactory information by acting at two levels: it would control the input of the sensory signal, and it would modulate the mechanism of GABAergic inhibition (Brünig et al.1999; Davila et al.2003).

It remains to be explained why DA neurones in the glomerular region of the OB are among the very few in the mammalian CNS which are generated also in adulthood. On one end this brings up series of questions concerning the mechanisms controlling their migration and differentiation, and, on the other end, it opens interesting perspectives for the exploitation of the olfactory bulb as a source of undifferentiated DA cells that could be expanded *ex vivo* and used for transplants in neurodegenerative diseases.

#### **4. Acknowledgements**

This work was supported by grants from MURST (PRIN 2009) and from Programma Medicina Rigenerativa Regione E.R. – Università, 2007–2009.

#### **5. References**

neurones express D1 and D2 receptors (Brünig et al.1999; Davila et al.2003) , and it has been shown that dopamine exerts a complex modulatory action between them and interneurons (*ibidem*), an effect that also in this case would be amplified by the restricted space of the glomerular neuropile. Within this framework, dopamine might play a central role in the processing of olfactory information by acting at two levels: it would control the input of the sensory signal, and it would modulate the mechanism of GABAergic inhibition (Brünig et

It remains to be explained why DA neurones in the glomerular region of the OB are among the very few in the mammalian CNS which are generated also in adulthood. On one end this brings up series of questions concerning the mechanisms controlling their migration and differentiation, and, on the other end, it opens interesting perspectives for the exploitation of the olfactory bulb as a source of undifferentiated DA cells that could be expanded *ex vivo*

This work was supported by grants from MURST (PRIN 2009) and from Programma

Attwell D, Cohen I, Eisner D, Ohba M, Ojeda C (1979): The steady state TTX-sensitive ("window") sodium current in cardiac Purkinje fibres. *Pflugers Arch* 379:137-142. Baker H, Kawano T, Margolis FL, Joh TH (1983): Transneuronal regulation of tyrosine hydroxylase expression in olfactory bulb of mouse and rat. *J Neurosci* 3:69-78. Baker H, Kobayashi K, Okano H, Saino-Saito S (2003): Cortical and striatal expression of

Baker H, Liu N, Chun HS, Saino S, Berlin R, Volpe B, *et al* (2001): Phenotypic differentiation

Bardoni R, Magherini PC, Belluzzi O (1996): Excitatory synapses in the glomerular triad of

Bausch SB, Patterson TA, Ehrengruber MU, Lester HA, Davidson N, Chavkin C (1995):

Berkowicz DA, Trombley PQ (2000): Dopaminergic modulation at the olfactory nerve

Betarbet R, Zigova T, Bakay RA, Luskin MB (1996): Dopaminergic and GABAergic

Biel M, Wahl-Schott C, Michalakis S, Zong X (2009): Hyperpolarization-activated cation

Bonifazzi C, Belluzzi O, Sacchi O (1988): Kinetic analysis of incomplete current tracings

according to the Hodgkin-Huxley model. *J Theor Biol* 130:183-190.

brain: an immunocytochemical study. *Receptors Channels* 3:221-241.

frog olfactory bulb *in vitro*. *Neuroreport* 7:1851-1855.

channels: from genes to function. *Physiol Rev* 89:847-885.

tyrosine hydroxylase mRNA in neonatal and adult mice. *Cell Mol Neurobiol* 23:507-

during migration of dopaminergic progenitor cells to the olfactory bulb. *J Neurosci*

Colocalization of mu opioid receptors with GIRK1 potassium channels in the rat

interneurons of the olfactory bulb are derived from the neonatal subventricular

al.1999; Davila et al.2003).

**4. Acknowledgements**

**5. References**

518.

21:8505-8513.

synapse. *Brain Res* 855:90-99.

zone. *Int J Dev Neurosci* 14:921-930.

and used for transplants in neurodegenerative diseases.

Medicina Rigenerativa Regione E.R. – Università, 2007–2009.

Pacemaker Currents in Dopaminergic Neurones of the Mice Olfactory Bulb 49

Perchenet L, Benardeau A, Ertel EA (2000): Pharmacological properties of Ca(V)3.2, a low

Perez MF, White FJ, Hu XT (2006): Dopamine D(2) receptor modulation of K(+) channel

Perez-Reyes E (2003): Molecular physiology of low-voltage-activated t-type calcium

Perez-Reyes E, Cribbs LL, Daud A, Lacerda AE, Barclay J, Williamson MP, *et al* (1998):

Pignatelli A, Kobayashi K, Okano H, Belluzzi O (2005): Functional properties of dopaminergic neurones in the mouse olfactory bulb. *J Physiol* 564:501-514. Podda MV, Riccardi E, D'Ascenzo M, Azzena GB, Grassi C (2010): Dopamine D1-like

Randall AD (1998): The molecular basis of voltage-gated Ca2+ channel diversity: is it time for

Randall AD, Tsien RW (1997): Contrasting biophysical and pharmacological properties of T-

Sawamoto K, Nakao N, Kobayashi K, Matsushita N, Takahashi H, Kakishita K, *et al* (2001):

Schweitz H, Heurteaux C, Bois P, Moinier D, Romey G, Lazdunski M (1994): Calcicludine, a

Takahashi K, Ueno S, Akaike N (1991): Kinetic properties of T-type Ca2+ currents in isolated

Talley EM, Cribbs LL, Lee JH, Daud A, Perez-Reyes E, Bayliss DA (1999): Differential

Todorovic SM, Lingle CJ (1998): Pharmacological properties of T-type Ca2+ current in adult

Toida K, Kosaka K, Aika Y, Kosaka T (2000): Chemically defined neuron groups and their

Viana F, Van den BL, Missiaen L, Vandenberghe W, Droogmans G, Nilius B, *et al* (1997):

type and R-type calcium channels. *Neuropharmacology* 36:879-893.

neurons. *Proc Natl Acad Sci U S A* 98:6423-6428.

type) calcium channels. *J Neurosci* 19:1895-1911.

granule neurons.  *Cell Calcium* 22:299-311.

*Arch Pharmacol* 361:590-599.

potentials. *J Neurophysiol* 96:2217-2228.

channels. *Physiol Rev* 83:117-161.

channel. *Nature* 391:896-900.

*Res Mol Brain Res* 139:63-79.

T? *J Membr Biol* 161:207-213.

79:240-252.

*Neuroscience* 101:11-17.

voltage-activated Ca2+ channel cloned from human heart. *Naunyn Schmiedebergs*

activity regulates excitability of nucleus accumbens neurons at different membrane

Molecular characterization of a neuronal low-voltage-activated T-type calcium

receptor activation depolarizes medium spiny neurons of the mouse nucleus accumbens by inhibiting inwardly rectifying K+ currents through a cAMPdependent protein kinase A-independent mechanism. *Neuroscience* 167:678-690. Prüss H, Derst C, Lommel R, Veh RW (2005): Differential distribution of individual subunits

of strongly inwardly rectifying potassium channels (Kir2 family) in rat brain. *Brain*

Visualization, direct isolation, and transplantation of midbrain dopaminergic

venom peptide of the Kunitz-type protease inhibitor family, is a potent blocker of high-threshold Ca2+ channels with a high affinity for L-type channels in cerebellar

distribution of three members of a gene family encoding low voltage-activated (T-

rat sensory neurons: effects of anticonvulsant and anesthetic agents. *J Neurophysiol*

subpopulations in the glomerular layer of the rat main olfactory bulb. IV. Intraglomerular synapses of tyrosine hydroxylase-immunoreactive neurons.

Mibefradil (Ro 40-5967) blocks multiple types of voltage-gated calcium channels in

Guthrie KM, Pullara JM, Marshall JF, Leon M (1991): Olfactory deprivation increases dopamine D2 receptor density in the rat olfactory bulb. *Synapse* 8:61-70. Hainsworth AH, Roper J, Kapoor R, Ashcroft FM (1991): Identification and

Halász N (1990): *The vertebrate olfactory system: chemical neuroanatomy, function and*

Halász N, Hökfelt T, Ljungdahl A, Johansson O, Goldstein M (1977): Dopamine neurons in

Hibino H, Inanobe A, Furutani K, Murakami S, Findlay I, Kurachi Y (2010): Inwardly

Hodgkin AL, Huxley AF (1952): A quantitative description of membrane currents and its application to conduction and excitation in nerve. *J Physiol (Lond )* 117:500-544. Hsia AY, Vincent JD, Lledo PM (1999): Dopamine depresses synaptic inputs into the

Kasowski HJ, Kim H, Greer CA (1999): Compartmental organization of the olfactory bulb

Klugbauer N, Marais E, Lacinova L, Hofmann F (1999): A T-type calcium channel from

Kosaka K, Toida K, Margolis FL, Kosaka T (1997): Chemically defined neuron groups and

Kosaka T, Hataguchi Y, Hama K, Nagatsu I, Wu JY (1985): Coexistence of

Kratskin I, Belluzzi O (2003): Anatomy and neurochemistry of the olfactory bulb. In: Doty

Levey AI, Hersch SM, Rye DB, Sunahara RK, Niznik HB, Kitt CA, *et al* (1993): Localization of

Matsushita N, Okada H, Yasoshima Y, Takahashi K, Kiuchi K, Kobayashi K (2002):

McLean JH, Shipley MT (1988): Postmitotic, postmigrational expression of tyrosine hydroxylase in olfactory bulb dopaminergic neurons. *J Neurosci* 8:3658-3669. Neuhoff H, Neu A, Liss B, Roeper J (2002): I(h) channels contribute to the different

Nowycky MC, Halász N, Shepherd GM (1983): Evoked field potential analysis of

dopaminergic neuron development. *J Neurochem* 82:295-304.

relationship to olfactory nerve terminals. *Neuroscience* 76:775-786.

their subpopulations in the glomerular layer of the rat main olfactory bulb .2. Prominent differences in the intraglomerular dendritic arborization and their

immunoreactivities for glutamate decarboxylase and tyrosine hydroxylase in some neurons in the periglomerular region of the rat main olfactory bulb: possible coexistence of gamma-aminobutyric acid (GABA) and dopamine. *Brain Res* 343:166-

RL, editor. *Handbook of Olfaction and Gustation*, 2nd ed. New York - Basel: Marcel

D1 and D2 dopamine receptors in brain with subtype-specific antibodies. *Proc Natl*

Dynamics of tyrosine hydroxylase promoter activity during midbrain

functional properties of identified dopaminergic subpopulations in the midbrain. *J*

dopaminergic mechanisms in the isolated turtle olfactory bulb. *Neuroscience* 8:717-

the olfactory bulb. *Adv Biochem Psychopharmacol* 16:169-177.

nigra. *Neuroscience* 43:81-93.

*Physiol Rev* 90:291-366.

171.

722.

Dekker, pp 139-164.

*Neurosci* 22:1290-1302.

*Acad Sci U S A* 90:8861-8865.

*development.* Budapest: Académiai Kiadó.

olfactory bulb. *J Neurophysiol* 82:1082-1085.

glomerulus. *J Comp Neurol* 407:261-274.

mouse brain. *Pflugers Arch* 437:710-715.

electrophysiology of isolated pars compacta neurons from guinea-pig substantia

rectifying potassium channels: their structure, function, and physiological roles.

**3**

Avital Schurr

*USA*

**Hippocampal Slices and Their Electrophysiogy**

Dorland's Illustrated Medical Dictionary in its 24th Edition (1965), describes the term "Electrophysiology" as "The Science of physiology in its relations to electricity; the study of the electric reactions of the body in health." The ability of scientists to observe and record physiology's electrical phenomena long preceded the understanding of the membranous ionic processes that are responsible for them. Consequently, for a while, electrophysiology has been considered a subfield of physiology, aiming at improving our understanding of cellular, organ and bodily functions. With the advances made in molecular biology, genetics and neuroscience, the role of electrophysiology has shifted, where today it is being employed as one of the best, most accurate and least expensive real-time monitoring tools in

The discovery in the early 1950s that brain slices can sustain certain electrophysiological characteristics typical of the intact brain opened a wide range of possibilities for studying cerebral tissue and its electrophysiology *in vitro.* Obviously, the brain slice preparation affords the experimenter both the control and manipulation of the environmental conditions under which the neural tissue is maintained. Employing electrophysiological techniques allows a continuous monitoring/recording of the neural tissue's viability, its functions and its responses to environmental and other changes brought about by the experimenter's

Thousands of papers and several books have been published over the past 30 years, where brain slices were the topic itself or where studies employed them in combination with various techniques, including electrophysiological ones. The present chapter describes some important advances made over the past three decades using brain slices and their electrophysiology in our laboratory, advances that provided us with a better understanding of cerebral energy metabolism. All the experiments detailed herewith employed the rat hippocampal slice preparation, using a continuous extracellular, real-time monitoring of the

Of the different brain slice preparations available, the rat hippocampal slice preparation is without a doubt the most studied. Henry McIlwain and colleagues were the first to use thin brain sections for metabolic studies (McIlwain et al., 1951; McIlwain & Buddle, 1953;

basic science research and clinical studies and practice alike.

electrically-evoked CA1 population spike (PS).

**1. Introduction**

chosen manipulations.

**in the Study of Brain Energy Metabolism**

*Department of Anesthesiology & Perioperative Medicine, University of Louisville School of Medicine, Louisville, KY,*