Applications of Dynamical Systems in Biology and Medicine

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.

List 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.

Summary

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. 

Product details

• Assisted by: Trachett Jackson (Editor), Trachette Jackson (Editor), Radunskaya (Editor), Radunskaya (Editor), Ami Radunskaya (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.2016
• EAN: 9781493950089
• ISBN: 978-1-4939-5008-9
• No. of pages: 233
• Dimensions: 155 mm x 11 mm x 235 mm
• Weight: 427 g
• Illustrations: XI, 233 p. 79 illus., 37 illus. in color.
• Series: The IMA Volumes in Mathematics and its Applications; IMA Volumes in Mathematics and; The IMA Volumes in Mathematics and its Applications; IMA Volumes in Mathematics and
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; C, Dynamics, Mathematics and Statistics, Applications of Mathematics, Mathematical physics, Dynamical Systems and Ergodic Theory, Ergodic theory, Nonlinear science, Dynamical systems, Mathematical modelling, Mathematical Applications in the Physical Sciences, Biomathematics, Mathematical and Computational Biology