# Peter Kramer : Design of a Microphysiological Simulation Method Incorporating Hydrodynamics

A new numerical method being developed with Charles Peskin is described which simulates interacting fluid, membrane, and particle systems in which thermal fluctuations play an important role. This method builds on the "Immersed Boundary Method" of Peskin and McQueen, which simplifies the coupling between the fluid and the immersed particles and membranes in such a way as to avoid complex boundary problems. Thermal fluctuations are introduced in the fluid through the theory of statistical hydrodynamics. We discuss some approximate analytical calculations which indicate that the immersed particles should exhibit some physically correct properties of Brownian motion. Our intended use of this numerical method is to simulate microphysiological processes; one advantage this method would have over Langevin particle dynamics approaches is its explicit tracking of the role of the fluid dynamics.

**Category**: Applied Math and Analysis**Duration**: 01:12:13**Date**: February 7, 2000 at 4:00 PM**Views**: 160-
**Tags:**seminar, Applied Math Seminar

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