  We present a computer simulation study, via lattice Boltzmann simulations, of
a microscopic model for cytoplasmic streaming in algal cells such as those of
Chara corallina. We modelled myosin motors tracking along actin lanes as
spheres undergoing directed motion along fixed lines. The sphere dimension
takes into account the fact that motors drag vesicles or other organelles, and,
unlike previous work, we model the boundary close to which the motors move as
walls with a finite slip layer. By using realistic parameter values for actin
lane and myosin density, as well as for endoplasmic and vacuole viscosity and
the slip layer close to the wall, we find that this simplified view, which does
not rely on any coupling between motors, cytoplasm and vacuole other than that
provided by viscous Stokes flow, is enough to account for the observed
magnitude of streaming velocities in intracellular fluid in living plant cells.
