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Modeling of Microscale Transport in Biological Processes by Sid Becker

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Chapter 9

Phase Field Modeling of Inhomogeneous Biomembranes in Flow

S. Aland1    Institute of Scientific Computing, TU Dresden, Dresden, Germany1Chapter coordinator.

Abstract

Numerical methods for membranes and vesicles have to deal with the complex interplay between membrane elasticity and hydrodynamic forces acting at microscopic length scales. The problem becomes even more challenging if the membrane consists of physically different parts, for example, if additional proteins are present or if the lipid composition is inhomogeneous. In the present chapter we review numerical models for such inhomogeneous membranes with a particular focus on phase field models. Starting from the energy of the system, we present the governing sharp interface ...

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