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Multiscale Modeling of Friction Mediated by Protein LinkagesStudent-Run Applied & Math Seminar
|Speaker: ||Dietmar Oelz, UC Davis|
|Location: ||2112 MSB|
|Start time: ||Wed, May 7 2014, 1:10PM|
(joint work with Vuk Milisic)
In this talk I will present a general microscopic pde model
(integro-differential) for the turnover of transiently remodeling elastic
protein bonds. The purpose of this work is to relate such models to
macroscopic, typically non-linear friction laws using asymptotic methods.
Such nonlinear friction models are of interest in applications in
In the first part of the talk I will provide the asymptotic analysis of
the microscopic model, both on a formal level and, and under assumptions,
rigorously using a non-standard Liapunov functional for structured models
and specific a-priori estimates.
In a second part of the talk I will provide evidence for hysteresis
numerically and by linear stability analysis when the off-rates of the
protein bonds are load-dependent.