Tear-off versus global existence for a structured model of adhesion mediated by transient elastic linkages

Milisic, Vuk and Oelz, Dietmar (2016) Tear-off versus global existence for a structured model of adhesion mediated by transient elastic linkages. Communications in Mathematical Sciences, 14 5: 1353-1372. doi:10.4310/CMS.2016.v14.n5.a7


Author Milisic, Vuk
Oelz, Dietmar
Title Tear-off versus global existence for a structured model of adhesion mediated by transient elastic linkages
Journal name Communications in Mathematical Sciences   Check publisher's open access policy
ISSN 1539-6746
Publication date 2016-01-01
Sub-type Article (original research)
DOI 10.4310/CMS.2016.v14.n5.a7
Open Access Status Not yet assessed
Volume 14
Issue 5
Start page 1353
End page 1372
Total pages 20
Place of publication Somerville, MA, United States
Publisher International Press
Language eng
Abstract We consider a microscopic non-linear model for friction mediated by transient elastic linkages introduced in our previous works. In the present study, we prove existence and uniqueness of a solution to the coupled system under weaker hypotheses. The theory we present covers the case where the off-rate of linkages is unbounded but increasing at most linearly with respect to the mechanical load. The time of existence is typically bounded, culminating in tear-off where the moving binding site does not have any bonds with the substrate. However, under additional assumptions on the external force, we prove global in time existence of a solution that consequently stays attached to the substrate.
Keyword Friction coefficient
Protein linkages
Cell adhesion
Renewal equation
Effect of chemical bonds
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
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Created: Sat, 14 Jan 2017, 01:45:11 EST by Kay Mackie on behalf of School of Mathematics & Physics