Applications of Dynamical Systems in Biology and Medicine (The IMA Volumes in Mathematics and its Applications Book 158)

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. . 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. Edited By Trachette Jackson, Ami Radunskaya. 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