to investigate potential movements of ssb on ssdna , we employed single molecule fluorescence resonance energy transfer ( smfret)8,9 .
fret efficiencies e from individual immobilized partial duplex dna with a 3 ( dt)n tail ( 64  n  131 ) bound to ssb were acquired using total internal reflection fluorescence microscopy9 .
surface immobilization and fluorescent labelling have no measurable effect on the dynamics of ssb binding mode transitions5 .
owing to the closed wrapping in the ( ssb)65 binding mode favoured under our conditions ( 500 mm nacl or 10 mm mg)7 , when ssb is bound to ssdna of 65 - 70 nt with its two ends labelled with donor ( cy3 ) and acceptor ( cy5 ) fluorophores , singular high fret distributions were observed5 .
however , when a ( dt)69 tail is further extended by an additional 12 nt of sequence complementary to the overhanging cohesive end of l - strand of  phage dna , individual ssb - ssdna complexes display large fret fluctuations in the millisecond time scale ( fig .
these fluctuations were dramatically suppressed when the 12 nt extension is hybridized to a cohesive end of a  dna ( fig .
1b ) . to exclude binding and dissociation of additional ssb molecules as the cause of fluctuations , unbound ssb was removed by a buffer wash before measurements .
dna unwrapping / rewrapping dynamics , occurring in tens of microseconds in high salt3,4 , is completely averaged out within our 10 - 30 ms time resolution5 .
we also ruled out local melting of the duplex portion as a source of fluctuations ( supplementary materials , sm1 ) .
therefore , these fluctuations must arise from additional conformational states enabled by the 12 nt extension . to test whether the fret fluctuations are caused by transient excursions of ssb to the extension , we varied the length of the extension ( ( dt)n , n= 0 - 18 ) while keeping the ssdna between cy3 and cy5 at 69 or 70 nt . if an ssb tetramer binds randomly and remains fixed at the initial site of binding undergoing only transient interactions with ssdna outside the binding site
, each complex will generate a fret distribution that is unique to the initial site of binding .
however , all complexes for each construct displayed similar fret time trajectories ( supplementary fig .
furthermore , if ssb migrates along the dna , larger excursions away from the high fret state are expected for longer extensions . indeed , average fret values decreased for longer extensions while the high fret state was still transiently visited ( supplementary fig .
1 ) . the fret distribution and the time scale of fluctuations are relatively independent of the salt concentration ( supplementary fig .
2 ) , arguing against these fret changes arising from binding mode transitions which display a strong salt dependence10 - 12 . hence ,
these fluctuations likely reflect ssb 's diffusional migration on ssdna with the different fret values corresponding to different ssb locations .
to make unbiased assignments of fret states , we employed a hidden markov model ( hmm ) based statistical approach that determines the most likely time sequence of fret states ( fig .
the result is further reduced to a transition density plot ( tdp)13,14 , that allows the number of distinct fret states , their fret values , and the transition rates to be estimated ( fig .
we analyzed ssb migration on dna molecules with several 3 dt tail lengths ( 0 to 12 nt extension beyond 65 nt binding site size ) at 13 c to slow down migration ( fig .
3 ) . for ( dt)69 + 8 ( 12 nt extension from the 65 nt binding site size with 69 nt separation between fluorophores ) ,
2b ) with transitions occurring between nearest neighbours . we assigned the highest fret value ( e ~ 0.8 ) to the state with ssb closest to the ss - dsdna junction and lower fret values for positions away from the junction .
the rates of transition , or the  stepping rates , were independent of the beginning and ending state of transition ( supplementary fig .
4 ) and ranged between 3.0 and 4.5 s ( fig . 2c ) . similar analysis yielded 5 , 3 and 2 states for dna with 8 , 2 and 0 nt extensions , respectively ( supplementary fig .
3 ) . therefore , every 2 - 4 nt of dna extension provides an additional configuration , yielding an apparent step size of about 3 nt . because fret fluctuations became too fast for hmm analysis above 13c , we used autocorrelation analysis of fret efficiency e for the temperature dependence studies ( fig .
the averaged auto - correlation function plots of the ssb-(dt)69 + 8 complexes were best fit by bi - exponential decays .
the shorter lifetime was equal to the time resolution independent of temperature and is ascribed to photophysical or detection noise the longer lifetime , long , displayed a monotonic temperature dependence and was attributed to ssb diffusion .
combined with the stepping rate of ~ 4 s at 13 c , we can then estimate a stepping rate of ~ 60 s at 37 c .
assuming a 3 nt step size , the diffusion coefficient of an ssb tetramer along ssdna at 37 c is estimated to be 270 ( nt)/s . as a further test of ssb migration on the ssdna , we employed single molecule 3 color fret9,15 using a donor - labelled ssb mutant ( a122c labelled with ~1 alexa555 per ssb tetramer ) and two different acceptors , cy5 and cy5.5 , attached to the two ends of a ( dt)130 ( fig .
the large separation between the two acceptors eliminates any significant fret between them . if a single ssb tetramer diffuses on the long ssdna , high fret events to either acceptor will be mutually exclusive .
indeed , we observed rapid and anti - correlated fluctuations of apparent fret efficiencies to the two acceptors , eapp,5 and eapp,5.5 , demonstrating that ssb truly diffuses on the dna ( fig . 3a and b ) . to ensure single ssb molecules on dna ,
1 min incubation with sub - saturating concentrations of ssb ( < 100 pm ) was followed immediately with a buffer wash and only traces displaying single donor photobleaching events were analyzed . at higher ssb concentration ( 10 nm ) , much slower fret fluctuations were observed likely due to binding of additional ssb ( supplementary figure 5 ) . to probe
how far ssb can move on a long ssdna , we placed cy5 and cy5.5 on the two ends of a ( dt)130 and cy3 in the middle ( named ( dt)65 + 65 ) .
this 3-color fret scheme allows us to determine at which end the ssb was present by following the 
closed wrapping of that dna segment and high fret to the corresponding acceptor ( fig .
both the dye pairs display transient high fret states that are anti - correlated indicating that the same ssb molecule was capable of migrating to either end of the dna ( fig .
therefore , ssb can move at least 65 nt via diffusion and is not constrained to its initial binding site .
ssb modulates the interaction between the reca protein and ssdna in the sos response and recombinational repair pathway2,16 - 19 and mutations in the ssb gene cause inefficient recombinational repair and homologous recombination1,20 - 22
. a reca filament can readily displace ssb from the dna if assisted by recfor , -modified recbcd or a preassembled nucleation cluster14,23 - 27 .
however , the mechanism of efficient ssb displacement by reca was unclear given the tight binding of ssb to ssdna .
our estimated diffusion step size of ssb , ~ 3 nt , is the same as the binding site size of a reca monomer which is the unit of filament extension14,28 .
we , therefore , hypothesized that a monomer - by - monomer addition of reca to the dna segment freed up by ssb diffusion might convert the random walk of ssb into unidirectional movement ( supplementary movie 1 ) .
to test this idea , we devised a 3-color fret assay using a dna with a 96 nt 3 tail , ( dt)30 + 65 , labelled at positions 0 , 30 and 95 with cy5.5 , cy3 and cy5 , respectively ( fig .
the apparent fret efficiencies of dna only are low for both acceptors ( ~0.1 ) , and drops to zero upon reca - atps filament formation ( fig 4a and b ) .
ssb addition after flushing out excess reca and atps removes the reca - atps filament from the ssdna tail , but not from the duplex dna14 , and the ssdna wraps around ssb , displaying higher fret with a broad distribution that reflects ssb diffusion ( fig .
the reca - atps filament remaining on the duplex serves as the nucleation cluster for filament elongation on the 3 ssdna tail14 such that upon addition of reca and atp , the elongating filament rapidly replaces ssb on the ssdna ( eapp = 0 ) ( fig .
4f shows the real time 3-color fret trajectories of ssb displacement by an elongating reca filament . before elongation
upon addition of reca and atp , eapp,5.5 drops first as a reca - atp filament initiates at the ss / dsdna junction .
since the cy3 and cy5 are separated by 65 nt at the distal dna end , we attribute this increase in eapp,5 to the repositioning of ssb to the distal end , pushed by the elongating reca filament .
we used exponential fits of average fret curves to estimate the rates of three distinct events following the addition of reca and atp ( fig .
( i ) eapp,5.5 drops from 0.3 to 0 at a rate of k1,ssb = 0.24  0.02 s. we assign this to reca filament initiation from the reca - atps nucleation site since once initiated , the decrease in eapp,5.5 is nearly instantaneous .
( ii ) eapp,5 increases from 0.3 to 0.75 at the rate of k2,ssb = 0.2  0.01 s. we assign this to reca filament initiation and elongation by ~ 10 reca monomers on 30 nt and ssb movement to the distal dna end .
the time intervals between the drop in the eapp,5.5 and the rise of eapp,5 , place a lower limit of ~0.6 s for the reca elongation on a 30-mer of ssb - bound ssdna ( supplementary fig . 6 ) .
( iii ) the decrease of eapp,5 ( traces synchronized when the high eapp,5 state is obtained ) that we assign to ssb dissociation occurs at a much lower rate of 0.07  0.01 s. the rates of filament initiation and elongation without ssb are comparable to those obtained with ssb ( fig . 4h and supplementary materials , sm2 ) .
furthermore , the rate of reca elongation on bare ssdna is about 20 s per monomer at 1 m reca14 and is similar to the lower limit we determined here with ssb ( ~ 6 s per monomer ) , suggesting that any hindrance to reca elongation by ssb is minimal .
similar rates were observed on longer dna where up to two ssb tetramers can bind ( supplementary fig .
overall , the rate of ssb removal from the dna end is ~ 10 fold slower than what is expected from filament elongation alone .
this observation suggests that ssb diffusion is important for reca filament elongation on ssb coated dna .
this is because before ssb hits the dna end , its diffusion is isoenergetic and therefore is rapid , while its further diffusion at the 3 end is energetically costly .
this model of rectifying the ssb diffusion by the directional growth of a reca filament does not require any direct interaction of the two proteins29 and hence could provide a general mechanism for displacement of ssb by proteins moving directionally on the ssdna .
ssb inhibits reca filament formation at low salt and high ssb concentrations23,29 , but stimulates reca filament formation in high salt29 , likely by disrupting dna secondary structures30,31 .
tetrameric ssbs can in fact destabilize a dna duplex possessing a single strand tail that is shorter than the ssb binding site size32 but no significant duplex disruption was observed for a tail length equal or greater than the binding site size ( fig . 1b and supplementary materials , sm1 ) .
we therefore investigated whether ssb can disrupt a physiologically more relevant structure , that is , a hairpin flanked by two single stranded regions .
the melting of a hairpin with a 7 bp stem and 3 nt loop , hp , ( fig .
5a ) is monitored via fret between cy3 and cy5 attached to the ends of the hairpin in two different constructs , ( dt)65+hp+3 and ( dt)6+hp+65 .
a single high fret population for an intact hairpin is partially replaced by lower fret populations with ssb , signifying different states of hairpin unzipping ( fig .
5c ) with a majority displaying two - step unzipping with rate constants of ~ 1.1 - 1.5 s ( fig . 5c and d ; details in supplementary materials , sm3 ) .
hence , a single ssb tetramer transiently disrupts dna secondary structures as stable as a 7 bp stem by repositioning itself on and off the hairpin segment . finally , we tested if such transient melting of a dna hairpin by ssb promotes reca filament formation on the hairpin .
starting from a pre - nucleated reca - atps complex , a reca - atp filament was formed on ( dt)6+hp+65 dna ( fig .
5e ) giving rise to a eapp ~ 0 population representing filament formation over the melted hairpin ( supplementary materials , sm4 ) .
remarkably , filament formation over the hairpin occurred 40 fold faster when ssb is present , demonstrating that ssb stimulates filament elongation over ssdna that can form stable secondary structures ( fig . 5f and supplementary materials , sm4 ) .
interestingly , for our second construct ( dt)65+hp+3 , filament formation over the hairpin remained slow even with ssb ( fig .
this dependence on hairpin position further indicates that transient hairpin disruption by ssb is necessary for efficient filament elongation for the following reason .
reca filament elongation towards the 3 end decreases the length of ssdna available for ssb binding , forcing it to eventually dissociate . however , ssb dissociation occurs before the filament elongates to the hairpin region of ( dt)65+hp+3 such that ssb - induced hairpin melting is reversed prior to filament growth over the hairpin segment ( supplementary materials , sm4 ) . based on these results ,
we propose that ssb diffusion along ssdna in the low cooperative ( ssb)65 mode , where ssdna is populated mostly with single or two tetramers33 , stimulates reca filament elongation by transiently removing dna secondary structures ahead of the filament , and that filament elongation via reca monomer addition in turn directionally biases ssb diffusion ( fig .
5 g ; supplementary movie 1 ) . for long ssdna bound by multiple ssb tetramers ,
directional migration of an ssb tetramer caused by reca filament elongation may increase the local ssb concentration and promote transitions to other binding modes from which ssb dissociation may be much more rapid3,5 .
if so , the findings made here may also be relevant for the removal of multiple ssbs from longer ssdna .
ssb rolling would occur via partial unwrapping of one end segment of ssdna from an ssb tetramer followed by re - wrapping of the other end in its place ( supplementary fig . 8 and supplementary movie 1 ) ,
although our results are consistent with the rolling model , a definitive conclusion awaits further investigations .
our work represents the first demonstration of any protein diffusing on ssdna . by facilitating the redistribution of a tightly bound ssb tetramer along the ssdna without full dissociation ,
ssb diffusion may be utilized in a variety of cellular processes , for example , stabilization of specific denaturation sites on superhelical dna35,36 and facilitation of primase activity by positioning the ssb on g4 phage type priming systems37 .
the c - terminal region of eco ssb interacts with a variety of dna repair enzymes and facilitates localization of these enzymes in the vicinity of ssdna38,39 , raising the possibility that ssb acts as a mobile platform on the ssdna for the repair and recombination machinery .
the presence of homologous ssb proteins even in metazoans suggests that similar diffusion mechanism might operate over a wide range of species40 .
partial duplex dna ( 18 bps dsdna ) with 3 ( dt)n tails ( n ranging from 64 to 131 nucleotides , nts ) carrying one donor ( cy3 ) and up to two acceptors ( cy5 for two - color fret , cy5 and cy5.5 for three - color fret ) were immobilized at the duplex end on polyethylene glycol coated surface using biotin - neutravidin and incubated with 100 pm - 1 nm ssb in imaging buffer for 1 min before flushing and single molecule data was acquired using wide - field total - internal - reflection ( tir ) fluorescence microscopy9 with 8 - 100 ms time resolution .
all single molecule measurements were performed at 231c unless specified otherwise in imaging buffer ( 10 mm tris ( ph 8.0 ) , 500 mm nacl , 0.1 mm na3edta , 0.1mg / ml bsa , oxygen scavenging system ( 0.5% w / v glucose , 1.5 mm trolox41 or 1% -mercaptoethanol , 165u / ml glucose oxidase and 2170u / ml catalase ) .
reca - ssb experiments were conducted in 1 m reca ( or 10 nm ssb ) , 1 mm atp ( or 1 mm atps ) in 25 mm tris acetate ( ph 7.5 ) , 50 mm sodium acetate , 10 mm magnesium acetate and 0.1 mg / ml bsa in combination with the oxygen scavenging system . details of dna sequences with modifications , annealing , reagents , experimental set - up and analysis indicated in the text are reported in supplementary methods .
 single stranded ( ss)dna generated in the cell during dna metabolism is stabilized and protected by binding of single stranded dna binding ( ssb ) proteins . 
 e. coli ssb , a representative homotetrameric ssb , binds to ssdna by wrapping the dna using its four subunits . 
 however , such a tightly wrapped , high affinity protein - dna complex still needs to be removed or repositioned quickly for unhindered action of other proteins . here , we show , using single molecule two and three - color fret , that tetrameric ssb can spontaneously migrate along ssdna . diffusional migration of ssb helps in the local displacement of ssb by an elongating reca filament . 
 ssb diffusion also melts short dna hairpins transiently and stimulates reca filament elongation on dna with secondary structure . 
 this first observation of diffusional movement of a protein on ssdna introduces a new paradigm for how an ssb protein can be redistributed , while remaining tightly bound to ssdna during recombination and repair processes . 
Diffusional migration of SSB on ssDNA
SSB displacement by RecA filament
SSB diffusion aids RecA on DNA hairpin
Mechanism and functions of SSB diffusion
Methods
Supplementary Material