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© 2018

Understanding Complex Biological Systems with Mathematics

  • Ami Radunskaya
  • Rebecca Segal
  • Blerta Shtylla

Benefits

  • 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

Book

Part of the Association for Women in Mathematics Series book series (AWMS, volume 14)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Christina J. Edholm, Blessing O. Emerenini, Anarina L. Murillo, Omar Saucedo, Nika Shakiba, Xueying Wang et al.
    Pages 1-29
  3. Nakeya D. Williams, Heather Z. Brooks, Maryann E. Hohn, Candice R. Price, Ami E. Radunskaya, Suzanne S. Sindi et al.
    Pages 31-46
  4. Heather Z. Brooks, Maryann E. Hohn, Candice R. Price, Ami E. Radunskaya, Suzanne S. Sindi, Nakeya D. Williams et al.
    Pages 47-61
  5. Sara M. Clifton, Courtney L. Davis, Samantha Erwin, Gabriela Hamerlinck, Amy Veprauskas, Yangyang Wang et al.
    Pages 63-87
  6. Jill Gallaher, Kamila Larripa, Urszula Ledzewicz, Marissa Renardy, Blerta Shtylla, Nessy Tania et al.
    Pages 89-122
  7. Wanda Strychalski, Sarah Bryant, Baasansuren Jadamba, Eirini Kilikian, Xiulan Lai, Leili Shahriyari et al.
    Pages 123-144
  8. Catalina Anghel, Kellie Archer, Jen-Mei Chang, Amy Cochran, Anca Radulescu, Carolyn M. Salafia et al.
    Pages 145-169
  9. Catalina Anghel, Kellie Archer, Jen-Mei Chang, Amy Cochran, Anca Radulescu, Carolyn M. Salafia et al.
    Pages 171-196
  10. Back Matter
    Pages 197-198

About this book

Introduction

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.

Keywords

Dynamical Systems Stochastic models Image analysis Complex biological systems Association for Women in Mathematics superspreaders tumor-immune dynamics

Editors and affiliations

  • Ami Radunskaya
    • 1
  • Rebecca Segal
    • 2
  • Blerta Shtylla
    • 3
  1. 1.Mathematics DepartmentPomona CollegeClaremontUSA
  2. 2.Department of MathematicsVirginia Commonwealth UniversityRichmondUSA
  3. 3.Mathematics DepartmentPomona CollegeClaremontUSA

About the editors

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. 

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
  • Series Abbreviated Title Association for Women in Mathematics Series
  • DOI https://doi.org/10.1007/978-3-319-98083-6
  • Copyright Information The Author(s) and the Association for Women in Mathematics 2018
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-3-319-98082-9
  • Softcover ISBN 978-3-030-07448-7
  • eBook ISBN 978-3-319-98083-6
  • 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
  • Topics Mathematical and Computational Biology
  • Buy this book on publisher's site