Derivation of a model for symmetric lamellipodia with instantaneous cross-link turnover

Oelz, Dietmar and Schmeiser, Christian (2010) Derivation of a model for symmetric lamellipodia with instantaneous cross-link turnover. Archive for Rational Mechanics and Analysis, 198 3: 963-980. doi:10.1007/s00205-010-0304-z


Author Oelz, Dietmar
Schmeiser, Christian
Title Derivation of a model for symmetric lamellipodia with instantaneous cross-link turnover
Journal name Archive for Rational Mechanics and Analysis   Check publisher's open access policy
ISSN 0003-9527
1432-0673
Publication date 2010-12-01
Sub-type Article (original research)
DOI 10.1007/s00205-010-0304-z
Open Access Status Not yet assessed
Volume 198
Issue 3
Start page 963
End page 980
Total pages 18
Place of publication Heidelberg, Germany
Publisher Springer
Language eng
Abstract We start with a model for the actin-cytoskeleton in a symmetric lamellipodium (cp. Oelz et al. in Cell Adh Migr 2(2):117-126, 2008) which includes the description of the life-cycle of chemical bonds based on age-structured models. Based on the assumption that their average lifetime is actually small as compared to the time scale of the dynamics in which we are interested, we pass, after applying an appropriate scaling, to a limit where this average lifetime goes to zero. We obtain a gradient flow model and formulate a time step approximation scheme. We use it to construct solutions analytically, proving their local in time existence, and present a typical numerical solution based on this scheme.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Mathematics and Physics
 
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Created: Sat, 14 Jan 2017, 02:27:18 EST by Kay Mackie on behalf of School of Mathematics & Physics