Applications of Dynamical Systems in Biology and Medicine

Başlık:

Yazar:

Jackson, Trachette. editor.

ISBN:

9781493927821

Fiziksel Tanım:

XI, 233 p. 79 illus., 37 illus. in color. online resource.

Series:

The IMA Volumes in Mathematics and its Applications, 158

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.

Abstract:

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. .

Konu Terimleri:

Mathematics.

Dynamics.

Ergodic theory.

Mathematical physics.

Biomathematics.

Mathematical and Computational Biology.

Mathematical Applications in the Physical Sciences.

Dynamical Systems and Ergodic Theory.

Added Author:

Jackson, Trachette.

Radunskaya, Ami.