Applications of level set methods in computational biophysics

Abstract : We describe in this paper two applications of Eulerian level set methods to fluid-structure problems arising in biophysics. The first one is concerned with three-dimensional equilibrium shapes of phospholipidic vesicles. This is a complex problem which can be recast as the minimization of the curvature energy of an immersed elastic membrane, under a constant area constraint. The second deals with isolated cardiomyocyte contraction. This problem corresponds to a generic incompressible fluid-structure coupling between an elastic body and a fluid. By the choice of these two quite different situations, we aim to bring evidences that Eulerian methods provide efficient and flexible computational tools in biophysics applications.
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Contributor : Georges-Henri Cottet <>
Submitted on : Monday, October 8, 2007 - 4:30:04 PM
Last modification on : Tuesday, September 24, 2019 - 4:22:03 PM
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  • HAL Id : hal-00177593, version 2



Emmanuel Maitre, Thomas Milcent, Georges-Henri Cottet, Annie Raoult, Yves Usson. Applications of level set methods in computational biophysics. 2007. ⟨hal-00177593v2⟩



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