Mathematics for Biology & Medicine

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Synthetic Gene Network: Modeling, Analysis and Robust Design Methods

Synthetic Gene Network: Modeling, Analysis and Robust Design Methods

Bor-Sen Chen, Yu-Chao Wang

May 02, 2014

This book develops a rational design and systematic approach to construct a gene network with desired behaviors. In order to achieve this goal, the registry of standard biological parts and experimental techniques are introduced at first. Then these biological components are characterized by a...

Stochastic Dynamics for Systems Biology

Stochastic Dynamics for Systems Biology

Christian Mazza, Michel Benaim

March 11, 2014

Stochastic Dynamics for Systems Biology is one of the first books to provide a systematic study of the many stochastic models used in systems biology. The book shows how the mathematical models are used as technical tools for simulating biological processes and how the models lead to conceptual...

Modeling and Control for Micro/Nano Devices and Systems

Modeling and Control for Micro/Nano Devices and Systems

Ning Xi, Mingjun Zhang, Guangyong Li

December 10, 2013

Micro/nano-scale engineering—especially the design and implementation of ultra-fast and ultra-scale energy devices, sensors, and cellular and molecular systems—remains a daunting challenge. Modeling and control has played an essential role in many technological breakthroughs throughout the course...

Systems Biology: Mathematical Modeling and Model Analysis

Systems Biology: Mathematical Modeling and Model Analysis

Andreas Kremling

November 12, 2013

Drawing on the latest research in the field, Systems Biology: Mathematical Modeling and Model Analysis presents many methods for modeling and analyzing biological systems, in particular cellular systems. It shows how to use predictive mathematical models to acquire and analyze knowledge about...

Game-Theoretical Models in Biology

Game-Theoretical Models in Biology

Mark Broom, Jan Rychtar

March 27, 2013

Covering the major topics of evolutionary game theory, Game-Theoretical Models in Biology presents both abstract and practical mathematical models of real biological situations. It discusses the static aspects of game theory in a mathematically rigorous way that is appealing to mathematicians. In...

Cellular Potts Models: Multiscale Extensions and Biological Applications

Cellular Potts Models: Multiscale Extensions and Biological Applications

Marco Scianna, Luigi Preziosi

March 26, 2013

A flexible, cell-level, and lattice-based technique, the cellular Potts model accurately describes the phenomenological mechanisms involved in many biological processes. Cellular Potts Models: Multiscale Extensions and Biological Applications gives an interdisciplinary, accessible treatment of...

Math Unlimited: Essays in Mathematics

Math Unlimited: Essays in Mathematics

R. Sujatha, H. N. Ramaswamy, C. S. Yogananda

November 11, 2011

This collection of essays spans pure and applied mathematics. Readers interested in mathematical research and historical aspects of mathematics will appreciate the enlightening content of the material. Highlighting the pervasive nature of mathematics today in a host of different areas, the book...

Dynamics of Biological Systems

Dynamics of Biological Systems

Michael Small

August 25, 2011

From the spontaneous rapid firing of cortical neurons to the spatial diffusion of disease epidemics, biological systems exhibit rich dynamic behaviour over a vast range of time and space scales. Unifying many of these diverse phenomena, Dynamics of Biological Systems provides the computational and...

Dynamics of the Chemostat: A Bifurcation Theory Approach

Dynamics of the Chemostat: A Bifurcation Theory Approach

Abdelhamid Ajbar, Khalid Alhumaizi

August 09, 2011

A ubiquitous tool in mathematical biology and chemical engineering, the chemostat often produces instabilities that pose safety hazards and adversely affect the optimization of bioreactive systems. Singularity theory and bifurcation diagrams together offer a useful framework for addressing these...

Biological Computation

Biological Computation

Ehud Lamm, Ron Unger

May 25, 2011

The area of biologically inspired computing, or biological computation, involves the development of new, biologically based techniques for solving difficult computational problems. A unified overview of computer science ideas inspired by biology, Biological Computation presents the most fundamental...

Multiscale Cancer Modeling

Multiscale Cancer Modeling

Thomas S. Deisboeck, Georgios S. Stamatakos

December 08, 2010

Cancer is a complex disease process that spans multiple scales in space and time. Driven by cutting-edge mathematical and computational techniques, in silico biology provides powerful tools to investigate the mechanistic relationships of genes, cells, and tissues. It enables the creation of...

An Introduction to Stochastic Processes with Applications to Biology, Second Edition

An Introduction to Stochastic Processes with Applications to Biology, Second Edition

Linda J. S. Allen

December 02, 2010

An Introduction to Stochastic Processes with Applications to Biology, Second Edition presents the basic theory of stochastic processes necessary in understanding and applying stochastic methods to biological problems in areas such as population growth and extinction, drug kinetics, two-species...

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