Nonautonomous Dynamical Systems in the Life Sciences

• Corporate Author: SpringerLink (Online service)
• Other Authors: Kloeden, Peter E. (Editor), Pötzsche, Christian. (Editor)
• Format: Electronic
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2013.
• Series: Lecture Notes in Mathematics, 2102
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Biomathematics.; Dynamical Systems and Ergodic Theory.; Mathematical and Computational Biology.; Genetics and Population Dynamics.
• Online Access: View fulltext via EzAccess

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...

Table of 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.