Tropicalization and tropical equilibration ...
Type de document :
Autre communication scientifique (congrès sans actes - poster - séminaire...): Communication dans un congrès avec actes
DOI :
Titre :
Tropicalization and tropical equilibration of chemical reactions
Auteur(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]
Titre de la manifestation scientifique :
International Workshop on Tropical and Idempotent Mathematics
Organisateur(s) de la manifestation scientifique :
Independent University of Moscow
Ville :
Moscow
Pays :
Russie
Date de début de la manifestation scientifique :
2012-08-26
Éditeur :
American Mathematical Society
Date de publication :
2014
Mot(s)-clé(s) en anglais :
Tropical analysis
asymptotic analysis
chemical kinetics
systems biology
asymptotic analysis
chemical kinetics
systems biology
Discipline(s) HAL :
Mathématiques [math]/Géométrie algébrique [math.AG]
Résumé en anglais : [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 ...
Lire la suite >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.Lire moins >
Lire la suite >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.Lire moins >
Langue :
Anglais
Comité de lecture :
Oui
Audience :
Non spécifiée
Vulgarisation :
Non
Commentaire :
13 pages, 1 figure, workshop Tropical-12, Moskow, August 26-31, 2012
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