Understanding Complex Biological Systems with Mathematics (Association for Women in Mathematics Series, 14) - Hardcover

Hardcover

ISBN 10: 3319980823 ISBN 13: 9783319980829

Publisher: Springer, 2018

Synopsis

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.

About this title

About the Author

Ami Radunskaya is a professor of mathematics at Pomona College, the President of the Association for Women in Mathematics (2017-2018), and a Fellow of the American Mathematical Society. 

Rebecca Segal is an associate professor of mathematics at Virginia Commonwealth University.

Blerta Shtylla is an assistant professor of mathematics at Pomona College. 

From the Back Cover

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 groupsat 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.

Edition details

• Publisher: Springer
• Publication date: 2018
• Language: English
• ISBN 10: 3319980823
• ISBN 13: 9783319980829
• Binding: Hardcover
• Edition number: 1
• Number of pages: 212
• Editor: Radunskaya Ami, Segal Rebecca, Shtylla Blerta