Stokes flow patterns induced by a single cardiac cell

Abstract

Stokes flow motions induced by a beating single cardiac cell (cardiomyocyte) are obtained numerically using the method of fundamental solutions (MFS). A two-dimensional meshfree-Stokeslets computational framework is used to solve the Stokes governing equations around an isolated cardiomyocyte. An approximate beating kinematical model is derived and used to approximate the cell-length shortening over a complete cardiac cycle. The induced flow patterns have been found to be characterized by the presence of counter-rotating vortices at both cell's edges. These vortical flow structures are clearly shown by rendering the velocity streamlines. The static pressure contours are also calculated at different time snapshots during both contraction and relaxation phases of the beating motion. The pressure signal is calculated at a point in the neighborhood of cell surface to capture the induced normal stress (traction) by the cell morphological motions to the surrounding fluid medium. The presented results have shown that, cells with a slightly different shortening/beating profile can induce different flow field. This implies that, each cell is characterized by a unique flow pattern "signature", which potentially can be correlated to the sub-cellular excitation-contraction processes of cardiac cells.

Keywords: Cardiomyocyte; E-C coupling; Flow signature; Stokes flow.