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  • © 2015

Mathematical Approaches to Biological Systems

Networks, Oscillations, and Collective Motions

  • Represents the forefront of mathematical approaches on biological systems relating to networks, oscillations, and collective motions

  • Brings together various research themes without restricting them to specializations or biological systems

  • Enables readers to clarify connections and differences in research themes by providing multiple approaches and model biological systems

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-ix
  2. Human Balance Control: Dead Zones, Intermittency, and Micro-chaos

    • John Milton, Tamas Insperger, Gabor Stepan
    Pages 1-28
  3. Dynamical Robustness of Complex Biological Networks

    • Gouhei Tanaka, Kai Morino, Kazuyuki Aihara
    Pages 29-53
  4. Switching of Primarily Relied Information by Ants: A Combinatorial Study of Experiment and Modeling

    • Yusuke Ogihara, Osamu Yamanaka, Toshiharu Akino, Shunsuke Izumi, Akinori Awazu, Hiraku Nishimori
    Pages 119-137
  5. Chases and Escapes: From Singles to Groups

    • Atsushi Kamimura, Shigenori Matsumoto, Toru Ohira
    Pages 139-166

About this book

This book presents the most recent mathematical approaches to the growing research area of networks, oscillations, and collective motions in the context of biological systems. Bringing together the results of multiple studies of different biological systems, this book sheds light on the relations among these research themes.

Included in this book are the following topics: feedback systems with time delay and threshold of sensing (dead zone), robustness of biological networks from the point of view of dynamical systems, the hardware-oriented neuron modeling approach, a universal mechanism governing the entrainment limit under weak forcing, the robustness mechanism of open complex systems, situation-dependent switching of the cues primarily relied on by foraging ants, and group chase and escape.

Research on different biological systems is presented together, not separated by specializations or by model systems. Therefore, the book provides diverse perspectives at the forefront of current mathematical research on biological systems, especially focused on networks, oscillations, and collective motions.

This work is aimed at advanced undergraduate, graduate, and postdoctoral students, as well as scientists and engineers. It will also be of great use for professionals in industries and service sectors owing to the applicability of topics such as networks and synchronizations.

Editors and Affiliations

  • Graduate School of Mathematics, Nagoya University, Nagoya, Japan

    Toru Ohira, Tohru Uzawa

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access