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Nonautonomous Dynamical Systems in the Life Sciences
Nonautonomous dynamics describes the qualitative behavior of evolutionary differential and difference equations, whose right-hand side is explicitly time dependent. Over recent years, the theory of such systems has developed into a highly active field related to, yet recognizably distinct from that...
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| Auteurs principaux : | , |
|---|---|
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Nonautonomous Dynamical Systems in the Life Sciences / Peter E. Kloeden, Christian Pötzsche, editors |
| Édition : | 1st ed. 2013. |
| Publié : |
Cham :
Springer International Publishing
, [20..] Cham : Springer Nature |
| Collection : | Mathematical biosciences subseries Editor, P.K. Maini |
| Titre de l'ensemble : | Mathematical biosciences subseries |
| Accès en ligne : |
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| Condition d'utilisation et de reproduction : | Conditions particulières de réutilisation pour les bénéficiaires des licences nationales : https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |
| Contenu : | Nonautonomous dynamical systems in the life sciences. Random dynamical systems with inputs. Canard theory and excitability. Stimulus-response reliability of biological networks. Coupled nonautonomous oscillators. Multisite mechanisms for ultrasensitivity in signal transduction. Mathematical concepts in pharmacokinetics and pharmacodynamics with application to tumor growth. Viral kinetic modeling of chronic hepatitis C and B infection. Some classes of stochastic differential equations as an alternative modeling approach to biomedical problems |
| Sujets : | |
| Documents associés : | Autre format:
Nonautonomous dynamical systems in the life sciences |
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| 200 | 1 | |a Nonautonomous Dynamical Systems in the Life Sciences |f Peter E. Kloeden, Christian Pötzsche, editors | |
| 205 | |a 1st ed. 2013. | ||
| 214 | 0 | |a Cham |c Springer International Publishing | |
| 214 | 2 | |a Cham |c Springer Nature |d [20..] | |
| 225 | 1 | |a Mathematical biosciences subseries | |
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| 303 | |a L'impression du document génère 326 p. | ||
| 320 | |a Index | ||
| 327 | 1 | |a Nonautonomous dynamical systems in the life sciences |a Random dynamical systems with inputs |a Canard theory and excitability |a Stimulus-response reliability of biological networks |a Coupled nonautonomous oscillators |a Multisite mechanisms for ultrasensitivity in signal transduction |a Mathematical concepts in pharmacokinetics and pharmacodynamics with application to tumor growth |a Viral kinetic modeling of chronic hepatitis C and B infection |a Some classes of stochastic differential equations as an alternative modeling approach to biomedical problems | |
| 330 | |a Nonautonomous dynamics describes the qualitative behavior of evolutionary differential and difference equations, whose right-hand side is explicitly time dependent. Over recent years, the theory of such systems has developed into a highly active field related to, yet recognizably distinct from that of classical autonomous dynamical systems. This development was motivated by problems of applied mathematics, in particular in the life sciences where genuinely nonautonomous systems abound. The purpose of this monograph is to indicate through selected, representative examples how often nonautonomous systems occur in the life sciences and to outline the new concepts and tools from the theory of nonautonomous dynamical systems that are now available for their investigation | ||
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