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Nonautonomous Dynamical Systems in the Life Sciences [[electronic resource] /] / edited by Peter E. Kloeden, Christian Pötzsche



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Titolo: Nonautonomous Dynamical Systems in the Life Sciences [[electronic resource] /] / edited by Peter E. Kloeden, Christian Pötzsche Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2013
Edizione: 1st ed. 2013.
Descrizione fisica: 1 online resource (XVIII, 314 p. 67 illus., 31 illus. in color.)
Disciplina: 531.11
Soggetto topico: Dynamics
Ergodic theory
Biomathematics
Dynamical Systems and Ergodic Theory
Mathematical and Computational Biology
Genetics and Population Dynamics
Persona (resp. second.): KloedenPeter E
PötzscheChristian
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: Nonautonomous dynamical systems in the life sciences  Visualizza cluster
ISBN: 3-319-03080-9
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 996466861603316
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Serie: Mathematical Biosciences Subseries, . 2524-6771 ; ; 2102