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Brownian Dynamics at Boundaries and Interfaces - In Physics, Chemistry, and Biology (Hardcover, 2013 ed.)
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Brownian Dynamics at Boundaries and Interfaces - In Physics, Chemistry, and Biology (Hardcover, 2013 ed.)
Series: Applied Mathematical Sciences, 186
Expected to ship within 10 - 15 working days
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Brownian dynamics serve as mathematical models for the diffusive
motion of microscopic particles of various shapes in gaseous,
liquid, or solid environments. The renewed interest in Brownian
dynamics is due primarily to their key role in molecular 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 that model the
functions of biological micro devices such as protein ionic
channels of biological membranes, cardiac myocytes, neuronal
synapses, and many more. Stochastic differential equations are
ubiquitous models in computational physics, chemistry, biophysics,
computer science, communications theory, mathematical finance
theory, and many other disciplines. Brownian dynamics simulations
of the random motion of particles, be it molecules or stock prices,
give rise to mathematical problems that neither the kinetic theory
of Maxwell and Boltzmann, nor Einstein's and Langevin's theories of
Brownian motion could predict.This book takes the readers on a
journey that starts with the rigorous definition of mathematical
Brownian motion, and ends with the explicit solution of a series of
complex problems that have immediate applications. It is aimed at
applied mathematicians, physicists, theoretical chemists, and
physiologists who are interested in modeling, analysis, and
simulation of micro devices of microbiology. The book contains
exercises and worked out examples throughout.
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