Applications of Dynamical Systems in Biology and Medicine [electronic resource] / edited by Trachette Jackson, Ami Radunskaya.
Contributor(s): Jackson, Trachette [editor.] | Radunskaya, Ami [editor.] | SpringerLink (Online service)Material type: TextSeries: The IMA Volumes in Mathematics and its Applications: 158Publisher: New York, NY : Springer New York : Imprint: Springer, 2015Description: XI, 233 p. 79 illus., 37 illus. in color. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9781493927821Subject(s): Mathematics | Dynamics | Ergodic theory | Mathematical physics | Biomathematics | Mathematics | Mathematical and Computational Biology | Mathematical Applications in the Physical Sciences | Dynamical Systems and Ergodic TheoryAdditional physical formats: Printed edition:: No titleDDC classification: 570.285 LOC classification: QH323.5QH324.2-324.25Online resources: Click here to access online
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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.
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. .