**Courant Lecture Notes**

Volume: 22;
2011;
149 pp;
Softcover

MSC: Primary 35; 37; 46; 62; 92; 97; 00; 34; 65; 45; 47;

Print ISBN: 978-0-8218-7286-4

Product Code: CLN/22

List Price: $33.00

Individual Member Price: $26.40

**Electronic ISBN: 978-1-4704-1765-9
Product Code: CLN/22.E**

List Price: $33.00

Individual Member Price: $26.40

#### You may also like

#### Supplemental Materials

# Mathematical Methods for Analysis of a Complex Disease

Share this page
*Frank C. Hoppensteadt*

A co-publication of the AMS and the Courant Institute of Mathematical Sciences at New York University

Complex diseases involve most aspects of population biology, including
genetics, demographics, epidemiology, and ecology. Mathematical
methods, including differential, difference, and integral equations,
numerical analysis, and random processes, have been used effectively
in all of these areas. The aim of this book is to provide sufficient
background in such mathematical and computational methods to enable
the reader to better understand complex systems in biology, medicine,
and the life sciences. It introduces concepts in mathematics to study
population phenomena with the goal of describing complicated aspects
of a disease, such as malaria, involving several species.

The book is based on a graduate course in computational biology and
applied mathematics taught at the Courant Institute of Mathematical
Sciences in fall 2010. The mathematical level is kept to essentially
advanced undergraduate mathematics, and the results in the book are
intended to provide readers with tools for performing more in-depth
analysis of population phenomena.

Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.

#### Table of Contents

# Table of Contents

## Mathematical Methods for Analysis of a Complex Disease

- Cover Cover11
- Title page iii4
- Contents v6
- Introduction vii8
- Population dynamics 114
- Random processes 2942
- Microbial ecology 5164
- Propagation of epidemic diseases 7386
- Population genetics 95108
- Stratifications of disease systems 113126
- MATLAB® programs 133146
- Bibliography 143156
- Index 147160
- Back Cover Back Cover1165

#### Readership

Graduate students and research mathematicians intrested in mathematical biology, population biology, system biology, computational biology, and epidemiology.