A mathematical model of cell reorientation in response to substrate stretching

Lazopoulos, KA; Stamenovic, D

dc.contributor.author	Lazopoulos, KA	en
dc.contributor.author	Stamenovic, D	en
dc.date.accessioned	2014-03-01T01:23:25Z
dc.date.available	2014-03-01T01:23:25Z
dc.date.issued	2006	en
dc.identifier.issn	15565297	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16957
dc.subject	Cell reorientation	en
dc.subject	Contractility	en
dc.subject	Cytoskeleton	en
dc.subject	Global stability	en
dc.subject	Substrate strain	en
dc.subject.other	Elasticity	en
dc.subject.other	Mathematical models	en
dc.subject.other	Strain	en
dc.subject.other	Substrates	en
dc.subject.other	Cell reorientation	en
dc.subject.other	Contractility	en
dc.subject.other	Cytoskeleton	en
dc.subject.other	Substrate strain	en
dc.subject.other	Substrate stretching	en
dc.subject.other	Cells	en
dc.subject.other	animal	en
dc.subject.other	article	en
dc.subject.other	biological model	en
dc.subject.other	cell adhesion	en
dc.subject.other	cell polarity	en
dc.subject.other	cell shape	en
dc.subject.other	cytoskeleton	en
dc.subject.other	elasticity	en
dc.subject.other	human	en
dc.subject.other	mechanical stress	en
dc.subject.other	physiology	en
dc.subject.other	Animals	en
dc.subject.other	Cell Adhesion	en
dc.subject.other	Cell Polarity	en
dc.subject.other	Cell Shape	en
dc.subject.other	Cytoskeleton	en
dc.subject.other	Elasticity	en
dc.subject.other	Humans	en
dc.subject.other	Models, Biological	en
dc.subject.other	Stress, Mechanical	en
dc.title	A mathematical model of cell reorientation in response to substrate stretching	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0021-9290(06)85417-5	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0021-9290(06)85417-5	en
heal.publicationDate	2006	en
heal.abstract	It is well documented that in response to substrate stretching adhering cells alter their orientation. Generally, the cells reorient away from the direction of the maximum substrate strain, depending upon the magnitude of the substrate strain and the state of cell contractility. Theoretical models from the literature can describe only some aspects of this phenomenon. In the present study, we developed a more comprehensive mathematical model of cell reorientation than the current models. Using the framework of theory of non-linear elasticity, we found that the problem of cell reorientation was a stability problem, with the global (Maxwell's) criterion for stability. For the case of uniaxial substrate stretching, we showed that cells would orient away from the direction of substrate strain such that the angle between the cell long axis and the direction of the substrate strain would increase with increasing magnitude of the strain. We also showed that at a given substrate strain this angle would be greater in cells having greater contractile strain. These results are consistent with experimental observations reported in the literature. Copyright © 2006 Tech Science Press.	en
heal.journalName	MCB Molecular and Cellular Biomechanics	en
dc.identifier.doi	10.1016/S0021-9290(06)85417-5	en
dc.identifier.volume	3	en
dc.identifier.issue	1	en
dc.identifier.spage	43	en
dc.identifier.epage	48	en