Modeling and simulation of biological networks : American Mathematical Society Short Course, January 10-11, 2006, San Antonio, Texas
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Bibliographic Information
Modeling and simulation of biological networks : American Mathematical Society Short Course, January 10-11, 2006, San Antonio, Texas
（Proceedings of symposia in applied mathematics, v. 64 . AMS short course lecture notes）
American Mathematical Society, c2007
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Biological Networks
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Includes bibliographical references and index
Description and Table of Contents
Description
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
An introduction to reconstructing ancestral genomes by L. Pachter Phylogenetics by E. S. Allman and J. A. Rhodes Polynomial dynamical systems in systems biology by B. Stigler An introduction to optimal control applied to immunology problems by S. Lenhart and J. T. Workman Modeling and simulation of large biological, information and socio-technical systems: An interaction-based approach by C. L. Barrett, K. Bisset, S. Eubank, M. V. Marathe, V. S. A. Kumar, and H. S. Mortveit.
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