On convergence and asymptotic behaviour of semigroups of operators.

Gene Expression Mathematical Concepts Models, Biological Models, Genetic Models, Immunological Signal Transduction Stochastic Processes Systems Biology
biological applications convergence of semigroups long time behaviour semigroup of operators

Journal

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
ISSN: 1471-2962
Titre abrégé: Philos Trans A Math Phys Eng Sci
Pays: England
ID NLM: 101133385

Informations de publication

Date de publication:
27 Nov 2020
Historique:
entrez: 19 10 2020
pubmed: 20 10 2020
medline: 22 6 2021
Statut: ppublish

Résumé

The classical and modern theorems on convergence, approximation and asymptotic stability of semigroups of operators are presented, and their applications to recent biological models are discussed. This article is part of the theme issue 'Semigroup applications everywhere'.

Identifiants

DOI: 10.1098/rsta.2019.0613 PMID: 33070749 PMC: PMC7658744
pubmed: 33070749
doi: 10.1098/rsta.2019.0613
pmc: PMC7658744
doi:

Types de publication

Journal Article

Langues

eng

Sous-ensembles de citation

IM

Pagination

20190613

Références

J Theor Biol. 2006 Jan 21;238(2):348-67
pubmed: 16039671
PLoS Comput Biol. 2011 Oct;7(10):e1002197
pubmed: 21998572
J Theor Biol. 2015 Dec 21;387:54-67
pubmed: 26434618
J Math Biol. 2018 Dec;77(6-7):2023-2048
pubmed: 29766232

Auteurs

Adam Bobrowski (A)

Lublin University of Technology, Nadbystrzycka 38A, 20-618 Lublin, Poland.

Ryszard Rudnicki (R)

Institute of Mathematics, Polish Academy of Sciences, Bankowa 14, 40-007 Katowice, Poland.

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Classifications MeSH

questionsmedicales.fr › Phénomènes génétiques › Expression des gènes › On convergence and asymptotic behaviour of...
questionsmedicales.fr › Concepts mathématiques › On convergence and asymptotic behaviour of...
questionsmedicales.fr › Techniques d'investigation › Modèles théoriques › Modèles biologiques › On convergence and asymptotic behaviour of...
questionsmedicales.fr › Techniques d'investigation › Modèles théoriques › Modèles biologiques › Modèles génétiques › On convergence and asymptotic behaviour of...
questionsmedicales.fr › Techniques d'investigation › Modèles théoriques › Modèles biologiques › Modèles immunologiques › On convergence and asymptotic behaviour of...
questionsmedicales.fr › Phénomènes physiologiques cellulaires › Transduction du signal › On convergence and asymptotic behaviour of...
questionsmedicales.fr › Environnement et santé publique › Santé publique › Méthodes épidémiologiques › Statistiques comme sujet › Processus stochastiques › On convergence and asymptotic behaviour of...
questionsmedicales.fr › Disciplines des sciences naturelles › Disciplines des sciences biologiques › Biologie › Biologie des systèmes › On convergence and asymptotic behaviour of...