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Applications of Dynamical Systems in Biology and Medicine

  • Trachette Jackson
  • Ami Radunskaya

Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 158)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Jana L. Gevertz, Zahra Aminzare, Kerri-Ann Norton, Judith Pérez-Velázquez, Alexandria Volkening, Katarzyna A. Rejniak
    Pages 1-34
  3. Amy L. Buchmann, Lisa J. Fauci, Karin Leiderman, Eva M. Strawbridge, Longhua Zhao
    Pages 35-53
  4. Julia Arciero, Laura Ellwein, Ashlee N. Ford Versypt, Elizabeth Makrides, Anita T. Layton
    Pages 55-73
  5. Lisette dePillis, Erica J. Graham, Kaitlyn Hood, Yanping Ma, Ami Radunskaya, Julie Simons
    Pages 75-98
  6. Jennifer Miller, Hwayeon Ryu, Zeynep Teymuroglu, Xueying Wang, Victoria Booth, Sue Ann Campbell
    Pages 99-121
  7. Selenne Bañuelos, Janet Best, Gemma Huguet, Alicia Prieto-Langarica, Pamela B. Pyzza, Markus H. Schmidt et al.
    Pages 123-147
  8. Jasmine Foo, Cymra Haskell, Natalia L. Komarova, Rebecca A. Segal, Karen E. Wood
    Pages 149-174
  9. R. Lane Brown, Erika Camacho, Evan G. Cameron, Christina Hamlet, Kathleen A. Hoffman, Hye-Won Kang et al.
    Pages 175-195
  10. Miranda I. Teboh-Ewungkem, Olivia Prosper, Katharine Gurski, Carrie A. Manore, Angela Peace, Zhilan Feng
    Pages 197-233

About these proceedings

Introduction

This volume highlights problems from a range of biological and medical applications that can be interpreted as questions about system behavior or control.  Topics include drug resistance in cancer and malaria, biological fluid dynamics, auto-regulation in the kidney, anti-coagulation therapy, evolutionary diversification and photo-transduction.  Mathematical techniques used to describe and investigate these biological and medical problems include ordinary, partial and stochastic differentiation equations, hybrid discrete-continuous approaches, as well as 2 and 3D numerical simulation. 

Keywords

3D Numerical Simulation Applied Mathematics Biological Applications Biological Fluid Dynamics Dynamical Systems Hybrid Discrete-Continuous Approaches Stochastic Differential Equations

Editors and affiliations

  • Trachette Jackson
    • 1
  • Ami Radunskaya
    • 2
  1. 1.Department of MathematicsUniversity of MichiganAnn ArborUSA
  2. 2.Department of MathematicsPomona CollegeClaremontUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4939-2782-1
  • Copyright Information Springer Science+Business Media, LLC 2015
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4939-2781-4
  • Online ISBN 978-1-4939-2782-1
  • Series Print ISSN 0940-6573
  • Series Online ISSN 2198-3224
  • Buy this book on publisher's site
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