Library Services | Technical University of Kenya

Your cart is empty.
Normal view MARC view ISBD view

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

By: Kloeden, Peter E [editor.].
Contributor(s): Pötzsche, Christian [editor.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Lecture Notes in Mathematics: 2102Publisher: Cham : Springer International Publishing : Imprint: Springer, 2013Description: XVIII, 312 p. 67 illus., 31 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783319030807.Subject(s): Mathematics | Differentiable dynamical systems | Genetics -- Mathematics | Mathematics | Dynamical Systems and Ergodic Theory | Mathematical and Computational Biology | Genetics and Population DynamicsDDC classification: 515.39 | 515.48 Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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.
Tags from this library: No tags from this library for this title. Log in to add tags.
No physical items for this record

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.

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.

There are no comments for this item.

Log in to your account to post a comment.

2017 | The Technical University of Kenya Library | +254(020) 2219929, 3341639, 3343672 | library@tukenya.ac.ke | Haile Selassie Avenue