Tropicalization and tropical equilibration ...
Document type :
Autre communication scientifique (congrès sans actes - poster - séminaire...): Communication dans un congrès avec actes
DOI :
Title :
Tropicalization and tropical equilibration of chemical reactions
Author(s) :
Noël, Vincent [Auteur]
Institut de Recherche Mathématique de Rennes [IRMAR]
Grigoriev, Dima [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Vakulenko, Sergey A. [Auteur]
St Petersburg State University [SPbU]
Radulescu, Ovidiu [Auteur]
Département de Mathématiques [Montpellier]
Institut de Recherche Mathématique de Rennes [IRMAR]
Grigoriev, Dima [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Vakulenko, Sergey A. [Auteur]
St Petersburg State University [SPbU]
Radulescu, Ovidiu [Auteur]
Département de Mathématiques [Montpellier]
Conference title :
International Workshop on Tropical and Idempotent Mathematics
Conference organizers(s) :
Independent University of Moscow
City :
Moscow
Country :
Russie
Start date of the conference :
2012-08-26
Publisher :
American Mathematical Society
Publication date :
2014
English keyword(s) :
Tropical analysis
asymptotic analysis
chemical kinetics
systems biology
asymptotic analysis
chemical kinetics
systems biology
HAL domain(s) :
Mathématiques [math]/Géométrie algébrique [math.AG]
English abstract : [en]
Systems biology uses large networks of biochemical reactions to model the functioning of biological cells from the molecular to the cellular scale. The dynamics of dissipative reaction networks with many well separated ...
Show more >Systems biology uses large networks of biochemical reactions to model the functioning of biological cells from the molecular to the cellular scale. The dynamics of dissipative reaction networks with many well separated time scales can be described as a sequence of successive equilibrations of different subsets of variables of the system. Polynomial systems with separation are equilibrated when at least two monomials, of opposite signs, have the same order of magnitude and dominate the others. These equilibrations and the corresponding truncated dynamics, obtained by eliminating the dominated terms, find a natural formulation in tropical analysis and can be used for model reduction.Show less >
Show more >Systems biology uses large networks of biochemical reactions to model the functioning of biological cells from the molecular to the cellular scale. The dynamics of dissipative reaction networks with many well separated time scales can be described as a sequence of successive equilibrations of different subsets of variables of the system. Polynomial systems with separation are equilibrated when at least two monomials, of opposite signs, have the same order of magnitude and dominate the others. These equilibrations and the corresponding truncated dynamics, obtained by eliminating the dominated terms, find a natural formulation in tropical analysis and can be used for model reduction.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Non spécifiée
Popular science :
Non
Comment :
13 pages, 1 figure, workshop Tropical-12, Moskow, August 26-31, 2012
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