Effective and efficient modeling of the hydrodynamics for bacterial flagella

The hydrodynamic interactions between bacterial flagella and surrounding boundaries are important for bacterial motility and gait in complex environment. By modeling each flagellar filament that is both thin and long as a string of spheres, we show that such hydrodynamic interactions can be accurately described through a resistance tensor, which can be efficiently evaluated numerically. For the case of close interaction between one bacterium and one passive colloidal sphere, we see notable difference between results from our model and those from the resistive force theory, showing that the error arises from negligence of the width of flagellar filaments in resistive force theory can be strong.