Titlebook: Nonautonomous Dynamical Systems in the Life Sciences; Peter E. Kloeden,Christian P?tzsche Book 2013 Springer International Publishing Swit

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Stimulus-Response Reliability of Biological Networks reproducible across repeated trials is said to be .. Reliability is of interest in, e.g., computational neuroscience because the degree to which a neuronal network is reliable constrains its ability to encode information via precise temporal patterns of spikes. This chapter reviews a body of work a

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Multisite Mechanisms for Ultrasensitivity in Signal Transductionall-or-none output. Such so-called ultrasensitive dose responses can also be used in a variety of other contexts, from the efficient transport of oxygen in the blood to the regulation of the cell cycle and gene expression. This chapter provides a self contained mathematical review of the most import

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Mathematical Concepts in Pharmacokinetics and Pharmacodynamics with Application to Tumor Growthinetic (PK) and pharmacodynamic (PD) modeling applied in the pharmaceutical industry. We will introduce typically PK and PD models and present the underlying pharmacological and biological interpretation. It turns out that any PKPD model is a nonautonomous dynamical system driven by the drug concent

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Viral Kinetic Modeling of Chronic Hepatitis C and B Infectionhowever, treatment options which can lead to viral eradication in hepatitis C or long-term viral suppression in hepatitis B in some patients. Nevertheless, there is still room for improvement. Mathematical compartment models based on ordinary differential equation systems have successfully been appl

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Some Classes of Stochastic Differential Equations as an Alternative Modeling Approach to Biomedical ical knowledge to be accounted for and at the same time are able to describe the noise in the systems under investigation and in the data without excessively complicating the settings. We present three application paradigms related to an intracellular signaling pathway, to radio-oncological treatmen

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Random Dynamical Systems with InputsThis work introduces a notion of random dynamical systems with inputs, providing several basic definitions and results on equilibria and convergence. It also presents a “converging input to converging state” (“CICS”) result, a concept that plays a key role in the analysis of stability of feedback interconnections, for monotone systems.

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Peter E. Kloeden,Christian P?tzscheOverview of recent developments in the theory of nonautonomous dynamical systems.Examples of concepts and techniques in the context of simple models from the life sciences.Representative collection of