Stochastic simulation of active Brownian motion
Brownian motion underlies many biophysical processes and it is the fundamental building block for the theory of stochastic processes. Its out-of-equilibrium counterpart, active Brownian motion, is a theoretical model for swimming bacteria. Such bacteria convert chemical energy into rotational motion of protein bundles. This rotation gives rise to a kinematic force that propels the bacterium forward.
In this practical, we will familarize ourselves with the concept of stochastic differential equations and then implement stochastic simulations of such active swimmers. By letting many of such bacteria interact with each other we will investige collective phenomena in groups of active swimmers.