Nonlinear perturbations of piecewise-linear systems with delay and applications to gene regulatory networks

We study piecewise-linear delay differential systems which describe gene regulatory networks with Boolean interactions. Under very general assumptions put on the regulatory functions it is shown how to construct the limit dynamics of the systems by applying singular perturbation analysis. The o...

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Bibliographic Details
Main Authors: Valeriya Tafintseva, Arcady Ponosov
Format: Article
Language:English
Published: Texas State University 2013-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/24/abstr.html