Brownian Dynamics at Boundaries and Interfaces

Brownian dynamics serve as mathematical models for the diffusive motion of mi- croscopic particles of various shapes in gaseous, liquid, or solid environments. The renewed interest in Brownian dynamics is due primarily to their key role in molec- ular and cellular biophysics: diffusion of ions and molecules is the driver of all life. Brownian dynamics simulations are the numerical realizations of stochastic differential equations (SDEs) that model the functions of biological microdevices such as protein ionic channels of biological membranes, cardiac myocytes, neuronal synapses, and many more.