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.
Author(s): Trachette Jackson, Ami Radunskaya (eds.)
Series: The IMA Volumes in Mathematics and its Applications 158
Edition: 1
Publisher: Springer-Verlag New York
Year: 2015
Language: English
Pages: 233
Tags: Mathematical and Computational Biology; Mathematical Applications in the Physical Sciences; Dynamical Systems and Ergodic Theory
Front Matter....Pages i-xi
Emergence of Anti-Cancer Drug Resistance: Exploring the Importance of the Microenvironmental Niche via a Spatial Model....Pages 1-34
Flow Induced by Bacterial Carpets and Transport of Microscale Loads....Pages 35-53
Modeling Blood Flow Control in the Kidney....Pages 55-73
Injury-Initiated Clot Formation Under Flow: A Mathematical Model with Warfarin Treatment....Pages 75-98
Clustering in Inhibitory Neural Networks with Nearest Neighbor Coupling....Pages 99-121
Effects of Thermoregulation on Human Sleep Patterns: A Mathematical Model of Sleep–Wake Cycles with REM–NREM Subcircuit....Pages 123-147
Modeling Sympatric Speciation in Quasiperiodic Environments....Pages 149-174
A Stochastic Model of the Melanopsin Phototransduction Cascade....Pages 175-195
Intermittent Preventive Treatment (IPT) and the Spread of Drug Resistant Malaria....Pages 197-233
