Overview
- Addresses a variety of applications in the biosciences, including disease spread, cancer, and flow of fluids in organisms
- Tackles significant biological and medical questions through mathematical models to understand complex system dynamics
- Illustrates results using numerous, color figures, tables, and images
Part of the book series: Association for Women in Mathematics Series (AWMS, volume 14)
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Table of contents (8 chapters)
Keywords
About this book
This volume examines a variety of biological and medical problems using mathematical models to understand complex system dynamics. Featured topics include autism spectrum disorder, ectoparasites and allogrooming, argasid ticks dynamics, super-fast nematocyst firing, cancer-immune population dynamics, and the spread of disease through populations. Applications are investigated with mathematical models using a variety of techniques in ordinary and partial differential equations, difference equations, Markov-chain models, Monte-Carlo simulations, network theory, image analysis, and immersed boundary method. Each article offers a thorough explanation of the methodologies used and numerous tables and color illustrations to explain key results. This volume is suitable for graduate students and researchers interested in current applications of mathematical models in the biosciences.
The research featured in this volume began among newly-formed collaborative groups at the 2017 Women Advancing Mathematical Biology Workshop that took place at the Mathematical Biosciences Institute in Columbus, Ohio. The groups spent one intensive week working at MBI and continued their collaborations after the workshop, resulting in the work presented in this volume.
Editors and Affiliations
About the editors
Rebecca Segal is an associate professor of mathematics at Virginia Commonwealth University.
Blerta Shtylla is an assistant professor of mathematics at Pomona College.
Bibliographic Information
Book Title: Understanding Complex Biological Systems with Mathematics
Editors: Ami Radunskaya, Rebecca Segal, Blerta Shtylla
Series Title: Association for Women in Mathematics Series
DOI: https://doi.org/10.1007/978-3-319-98083-6
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Author(s) and the Association for Women in Mathematics 2018
Hardcover ISBN: 978-3-319-98082-9Published: 03 November 2018
Softcover ISBN: 978-3-030-07448-7Published: 20 December 2018
eBook ISBN: 978-3-319-98083-6Published: 24 October 2018
Series ISSN: 2364-5733
Series E-ISSN: 2364-5741
Edition Number: 1
Number of Pages: XIV, 198
Number of Illustrations: 25 b/w illustrations, 36 illustrations in colour