Brownian Dynamics at Boundaries and Interfaces

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The book explores the significance of Brownian dynamics as mathematical models for the diffusive motion of microscopic particles across various environments. It emphasizes their importance in molecular and cellular biophysics, particularly in the diffusion processes that sustain life. The text delves into Brownian dynamics simulations, which apply stochastic differential equations to model biological micro devices like protein channels and neuronal synapses. Additionally, it highlights the broader applications of these models in fields such as physics, chemistry, and finance, addressing complex mathematical challenges beyond traditional theories.