Nonautonomous dynamical systems in the life sciences / Peter E. Kloeden, Christian Pötzsche, editors.

Contributor(s):

Material type: Text

TextSeries: Lecture notes in mathematics (Springer-Verlag) ; 2102. | Lecture notes in mathematics (Springer-Verlag). Mathematical biosciences subseries.Publisher: Cham [Switzerland] ; New York : Springer, [2013]Copyright date: ©2013Description: 1 online resource (xviii, 312 pages) : illustrations (some color)Content type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783319030807
3319030809

Subject(s): Additional physical formats: Print version:: Nonautonomous dynamical systems in the life sciences.DDC classification:

515.39 23

LOC classification:

QA845

Online resources:

Click here to access online

Contents:

Theoretical Basics. Nonautonomous Dynamical Systems in the Life Sciences / Peter E. Kloeden and Christian Pötzsche -- Random Dynamical Systems with Inputs / Michael Marcondes de Freitas and Eduardo D. Sontag -- Canard Theory and Excitability / Martin Wechselberger, John Mitry and John Rinzel -- Applications. Stimulus-Response Reliability of Biological Networks / Kevin K. Lin -- Coupled Nonautonomous Oscillators / Philip T. Clemson, Spase Petkoski, Tomislav Stankovski and Aneta Stefanovska -- Multisite Mechanisms for Ultrasensitivity in Signal Transduction / Germán A. Enciso -- Mathematical Concepts in Pharmacokinetics and Pharmacodynamics with Application to Tumor Growth / Gilbert Koch and Johannes Schropp -- Viral Kinetic Modeling of Chronic Hepatitis C and B Infection / Eva Herrmann and Yusuke Asai -- Some Classes of Stochastic Differential Equations as an Alternative Modeling Approach to Biomedical Problems / Christina Surulescu and Nicolae Surulescu.

Summary: 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.

Holdings ( 1 )
Title notes ( 6 )

Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
eBook	e-Library	eBook LN Mathematic		Available

Total holds: 0

Based on a workshop of the same title, held in Inzell, Germany, August 1-5, 2011.

Includes bibliographical references and index.

Online resource; title from PDF title page (SpringerLink, viewed Feb. 25, 2014).

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.

English.