**Proceedings of Symposia in Applied Mathematics**

Volume: 64;
2007;
151 pp;
Hardcover

MSC: Primary 92;

Print ISBN: 978-0-8218-3964-5

Product Code: PSAPM/64

List Price: $42.00

Individual Member Price: $33.60

**Electronic ISBN: 978-0-8218-9279-4
Product Code: PSAPM/64.E**

List Price: $42.00

Individual Member Price: $33.60

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# Modeling and Simulation of Biological Networks

Share this page *Edited by *
*Reinhard C. Laubenbacher*

It is the task of computational biology to help elucidate the unique characteristics of biological systems. This process has barely begun, and many researchers are testing computational tools that have been used successfully in other fields. Mathematical and statistical network modeling is an important step toward uncovering the organizational principles and dynamic behavior of biological networks. Undoubtedly, new mathematical tools will be needed, however, to meet this challenge. The workhorse of this effort at present comprises the standard tools from applied mathematics, which have proven to be successful for many problems. But new areas of mathematics not traditionally considered applicable are contributing other powerful tools.

This volume is intended to introduce this topic to a broad mathematical audience. The aim is to explain some of the biology and the computational and mathematical challenges we are facing. The different chapters provide examples of how these challenges are met, with particular emphasis on nontraditional mathematical approaches. The volume features a broad spectrum of networks across scales, ranging from biochemical networks within a single cell to epidemiological networks encompassing whole cities.

Chapter topics include phylogenetics and gene finding using tools from statistics and algebraic geometry, biochemical network inference using tools from computational algebra, control-theoretic approaches to drug delivery using differential equations, and interaction-based modeling and discrete mathematics applied to problems in population dynamics and epidemiology.

#### Table of Contents

# Table of Contents

## Modeling and Simulation of Biological Networks

- Contents v6 free
- Introduction to Modeling and Simulation of Biological Networks vii8 free
- An introduction to reconstructing ancestral genomes 110 free
- Phylogenetics 2130
- Polynomial dynamical systems in systems biology 5362
- An introduction to optimal control applied to immunology problems 8594
- Modeling and simulation of large biological, information and socio-technical systems: An interaction-based approach 101110
- Index 149158

#### Readership

Graduate students and research mathematicians interested in mathematical biology.