heart performance [@seo2013effect]. However, this flow pattern is directly related to the accuracy of LV reconstruction and valves’ motion. Hence, in this section, the impact of ventricular valves and different smoothing algorithm for LV reconstruction as well as LV dysfunction (AMI) on the performance of LV in terms of energy loss during the whole cardiac cycle is measured using the energy equation for a control volume as follows:

$$\frac{dE}{dt}=\dot{Q}-\dot{W}=\frac{\partial}{\partial t}\int_{CV}{\rho e~dV}+\int_{CS}{(\rho e+p)\vec{V}.\vec{dA}}$$

where $E$ is the total energy of the system (Fig. \[control\]), $\dot{Q}$ is the rate of heat transfer to the system, $\dot{W}$ is the rate of work done on/by the system, $CV$ is the control volume, $CS$ is control surface, $\vec{V}$ velocity of flow, $p$ is pressure, $\rho$ is blood density, and $e$ is the energy per unit mass $$e=u+V^2/2+\vec{g}z$$ where $u$ is the internal energy of the fluid, $V^2/2$ is the kinetic energy. Integrating over a cardiac cycle assuming that the system has reached the quasi-steady state and neglecting the heat transferred to the LV as well as gravity and difference of internal energy of inlet and outlet, the above equation reduces to

$$loss= \int_{0}^{T}{\int_{CS}{\rho~(p/{\rho}+V^2/2)~\vec{V}. \vec{dA}}}$$

where $T$ is time at the end of the cardiac cycle. 