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Rapport Année : 2001

A Class of Piecewise Linear Differential Equations Arising in Biological Models

Tewfik Sari

Résumé

We investigate the properties of the solutions of a class of piecewise-linear differential equations. The equations are appropriate to model biological systems in which there are switch-like interactions between the elements of the network. The analysis uses the concept of Filippov solutions of discontinuous righthand sides equations. It gives an insight on the so-called singular solutions which lie on the surfaces of discontinuity. We study several examples of genetic networks.
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Dates et versions

inria-00072415 , version 1 (24-05-2006)

Identifiants

  • HAL Id : inria-00072415 , version 1

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Jean-Luc Gouzé, Tewfik Sari. A Class of Piecewise Linear Differential Equations Arising in Biological Models. RR-4207, INRIA. 2001. ⟨inria-00072415⟩
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