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Applications of Dynamical Systems in Biology and Medicine

  • Conference proceedings
  • © 2015

Overview

Editors:
  1. Trachette Jackson

    1. Department of Mathematics, University of Michigan, Ann Arbor, USA

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  2. Ami Radunskaya

    1. Department of Mathematics, Pomona College, Claremont, USA

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    You can also search for this editor in PubMed   Google Scholar

  • Showcases original research conducted on the biological and medical application areas with links to dynamics and control
  • Articles written by and based on research conducted by teams of women mathematicians
  • Covers a wide range of computational approaches to dynamical problems in biology and medicine

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

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Table of contents (9 papers)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Emergence of Anti-Cancer Drug Resistance: Exploring the Importance of the Microenvironmental Niche via a Spatial Model

    • Jana L. Gevertz, Zahra Aminzare, Kerri-Ann Norton, Judith Pérez-Velázquez, Alexandria Volkening, Katarzyna A. Rejniak
    Pages 1-34

  3. Flow Induced by Bacterial Carpets and Transport of Microscale Loads

    • Amy L. Buchmann, Lisa J. Fauci, Karin Leiderman, Eva M. Strawbridge, Longhua Zhao
    Pages 35-53

  4. Modeling Blood Flow Control in the Kidney

    • Julia Arciero, Laura Ellwein, Ashlee N. Ford Versypt, Elizabeth Makrides, Anita T. Layton
    Pages 55-73

  5. Injury-Initiated Clot Formation Under Flow: A Mathematical Model with Warfarin Treatment

    • Lisette dePillis, Erica J. Graham, Kaitlyn Hood, Yanping Ma, Ami Radunskaya, Julie Simons
    Pages 75-98

  6. Clustering in Inhibitory Neural Networks with Nearest Neighbor Coupling

    • Jennifer Miller, Hwayeon Ryu, Zeynep Teymuroglu, Xueying Wang, Victoria Booth, Sue Ann Campbell
    Pages 99-121

  7. Effects of Thermoregulation on Human Sleep Patterns: A Mathematical Model of Sleep–Wake Cycles with REM–NREM Subcircuit

    • Selenne Bañuelos, Janet Best, Gemma Huguet, Alicia Prieto-Langarica, Pamela B. Pyzza, Markus H. Schmidt et al.
    Pages 123-147

  8. Modeling Sympatric Speciation in Quasiperiodic Environments

    • Jasmine Foo, Cymra Haskell, Natalia L. Komarova, Rebecca A. Segal, Karen E. Wood
    Pages 149-174

  9. A Stochastic Model of the Melanopsin Phototransduction Cascade

    • R. Lane Brown, Erika Camacho, Evan G. Cameron, Christina Hamlet, Kathleen A. Hoffman, Hye-Won Kang et al.
    Pages 175-195

  10. Intermittent Preventive Treatment (IPT) and the Spread of Drug Resistant Malaria

    • Miranda I. Teboh-Ewungkem, Olivia Prosper, Katharine Gurski, Carrie A. Manore, Angela Peace, Zhilan Feng
    Pages 197-233
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Keywords

About this book

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. 

Editors and Affiliations

  • Department of Mathematics, University of Michigan, Ann Arbor, USA

    Trachette Jackson

  • Department of Mathematics, Pomona College, Claremont, USA

    Ami Radunskaya

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