Applications of Dynamical Systems in Biology and Medicine

by Trachette Jackson (Editor), Ami Radunskaya (Editor)

Overview

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 shastic differentiation equations, hybrid discrete-continuous approaches, as well as 2 and 3D numerical simulation.

Product Details

ISBN-13:	9781493927814
Publisher:	Springer New York
Publication date:	07/07/2015
Series:	The IMA Volumes in Mathematics and its Applications , #158
Edition description:	1st ed. 2015
Pages:	233
Product dimensions:	6.10(w) x 9.25(h) x 0.02(d)

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.- Shastic Modeling of the Phototransduction Cascade for Melanopsin.- Clustering in Inhibitory Neural Networks with Nearest Neighbor Coupling.- Modeling the Dynamics of REM Sleep.