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Phase separation on biological membranes

Kampmann, Johannes (2018) Phase separation on biological membranes. PhD, Universität Regensburg.

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Date of publication of this fulltext: 09 Jul 2018 09:14

Abstract (English)

We provide a detailed mathematical analysis of a model for lipid raft formation in cell membranes which was recently proposed by Garcke, Rätz, Röger and the author. Lipid rafts are domains of a specific molecule composition (mostly saturated lipids and cholesterols) in biological membranes. In principle, the proposed model is a phase-field model describing phase separation between saturated ...

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Translation of the abstract (German)

Diese Arbeit bietet eine detaillierte mathematische Anaylse für ein Modell zur Bildung von so genannten Lipid Rafts (dt.: Lipidflöße), das kürzlich von Garcke, Rätz, Röger und dem Autor vorgeschlagen wurde. Bei Lipid Rafts handelt es sich um Gebiete mit einer spezifischen molekularen Zusammensetzung (größtenteils Cholesterol und gesättigte Lipide) in Zellmembranen. Grundsätzlich handelt es sich ...

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Item type:Thesis of the University of Regensburg (PhD)
Date:9 July 2018
Referee:Prof. Dr. Helmut Abels
Date of exam:25 May 2018
Institutions:Mathematics > Prof. Dr. Helmut Abels
Keywords:phase field methods, singular limits, varifolds, Cahn-Hilliard equation, Ohta-Kawasaki equation, phase separation, weak solutions, mathematical biology, applied analysis, partial differential equations, mathematical modelling
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:37471
Owner only: item control page

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