Communication Dans Un Congrès Année : 2020

Tropical Geometry of Biological Systems

Résumé

Tropical geometry ideas were developed by mathematicians that got inspired from very different topics in physics, discrete mathematics , optimization, algebraic geometry. In tropical geometry, tools like the logarithmic transformation coarse grain complex objects, drastically simplifying their analysis. I discuss here how similar concepts can be applied to dynamical systems used in biological modeling. In particular, tropical geometry is a natural framework for model reduction and for the study of metastability and itinerancy phenomena in complex biochemical networks.

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hal-02949563 , version 1 (25-09-2020)

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  • HAL Id : hal-02949563 , version 1

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Ovidiu Radulescu. Tropical Geometry of Biological Systems. CASC 2020, Sep 2020, Linz, Austria. ⟨hal-02949563⟩
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