Applications of dynamical systems in biology and medicine
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Bibliographic Information
Applications of dynamical systems in biology and medicine
（The IMA volumes in mathematics and its applications, v. 158）
Springer, c2015
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Includes bibliographical references
Description and Table of Contents
Description
This volume highlights problems from a range of biological and medical applications that can be interpreted as questions about system behavior or control. Topics include drug resistance in cancer and malaria, biological fluid dynamics, auto-regulation in the kidney, anti-coagulation therapy, evolutionary diversification and photo-transduction. Mathematical techniques used to describe and investigate these biological and medical problems include ordinary, partial and stochastic differentiation equations, hybrid discrete-continuous approaches, as well as 2 and 3D numerical simulation.
Table of Contents
Anti-Cancer Drug Resistance: A Pre-existing or Emerging Phenomenon?.- Modeling Fluid Flow Induced by Bacterial Carpets.- Modeling Auto regulation in the Kidney.- Modeling Anti-coagulation Therapy.- Mathematical Modeling of Evolutionary Diversification.- Intermittent Preventative Treatment (IPT) and the Spread of Drug Resistance to Malaria.- Stochastic Modeling of the Phototransduction Cascade for Melanopsin.- Clustering in Inhibitory Neural Networks with Nearest Neighbor Coupling.- Modeling the Dynamics of REM Sleep.
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