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dc.contributor.authorGarcke, Harald-
dc.contributor.authorKampmann, Johannes-
dc.contributor.authorRätz, Andreas-
dc.contributor.authorRöger, Matthias-
dc.date.accessioned2015-10-07T12:49:42Z-
dc.date.available2015-10-07T12:49:42Z-
dc.date.issued2015-09-
dc.identifier.urihttp://hdl.handle.net/2003/34257-
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-16334-
dc.description.abstractWe propose and investigate a model for lipid raft formation and dynamics in biological membranes. The model describes the lipid composition of the membrane and an interaction with cholesterol. To account for cholesterol exchange between cytosol and cell membrane we couple a bulk-diffusion to an evolution equation on the membrane. The latter describes a relaxation dynamics for an energy taking lipid-phase separation and lipid-cholesterol interaction energy into account. It takes the form of an (extended) Cahn{Hilliard equation. Different laws for the exchange term represent equilibrium and non-equilibrium models. We present a thermodynamic justification, analyze the respective qualitative behavior and derive asymptotic reductions of the model. In particular we present a formal asymptotic expansion near the sharp interface limit, where the membrane is separated into two pure phases of saturated and unsaturated lipids, respectively. Finally we perform numerical simulations and investigate the long-time behavior of the model and its parameter dependence. Both the mathematical analysis and the numerical simulations show the emergence of raft-like structures in the non-equilibrium case whereas in the equilibrium case only macrodomains survive in the long-time evolution.en
dc.language.isoen-
dc.subjectpartial differential equations on surfacesen
dc.subjectphase separationen
dc.subjectCahn-Hilliard equationen
dc.subjectOhta-Kawasaki energyen
dc.subjectreaction-diffusion systemsen
dc.subjectsingular limiten
dc.subject.ddc610-
dc.titleA coupled surface-Cahn-Hilliard bulk-diffusion system modeling lipid raft formation in cell membranesen
dc.typeTextde
dc.type.publicationtypepreprinten
dcterms.accessRightsopen access-
Appears in Collections:Preprints der Fakultät für Mathematik

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