Applications of level set methods in computational biophysics

Emmanuel Maitre 1 Thomas Milcent 1 Georges-Henri Cottet 1 Annie Raoult 2 Yves Usson 3
1 EDP - Equations aux Dérivées Partielles
LJK - Laboratoire Jean Kuntzmann
TIMC-IMAG - Techniques de l'Ingénierie Médicale et de la Complexité - Informatique, Mathématiques et Applications, Grenoble - UMR 5525
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.
Document type :
Journal articles
Complete list of metadatas

Cited literature [22 references]  Display  Hide  Download
Contributor : Georges-Henri Cottet <>
Submitted on : Friday, March 28, 2008 - 8:16:58 AM
Last modification on : Tuesday, September 24, 2019 - 4:22:04 PM
Long-term archiving on: Saturday, November 26, 2016 - 12:26:27 AM


Files produced by the author(s)



Emmanuel Maitre, Thomas Milcent, Georges-Henri Cottet, Annie Raoult, Yves Usson. Applications of level set methods in computational biophysics. Mathematical and Computer Modelling, Elsevier, 2009, 49 (11-12), pp.2161-2169. ⟨10.1016/j.mcm.2008.07.026⟩. ⟨hal-00177593v3⟩



Record views


Files downloads