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  • © 2021

Mathematical Modeling for Genes to Collective Cell Dynamics

  • Covers both experimental results and mathematical models to analyze cellular dynamics

  • Includes basic introductions in each chapter for non-experts in biology or mathematics

  • Clear and concise structure that helps readers’ understanding

Part of the book series: Theoretical Biology (THBIO)

  • 580 Accesses

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eBook USD 139.00
Price excludes VAT (USA)
  • ISBN: 978-981-16-7132-6
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Hardcover Book USD 179.99
Price excludes VAT (USA)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-vii
  2. Transcription Dynamics: Cellular Automaton Model of Polymerase Dynamics for Eukaryotes

    • Yoichi Nakata, Yoshihiro Ohta, Youichiro Wada
    Pages 1-23
  3. Angiogenesis: Dynamics of Endothelial Cells in Sprouting and Bifurcation

    • Hiroki Kurihara, Jun Mada, Tetsuji Tokihiro, Kazuo Tonami, Toshiyuki Ushijima, Fumitaka Yura
    Pages 25-83
  4. Synchronization and Fluctuation of Cardiac Muscle Cells

    • Tatsuya Hayashi, Kenji Yasuda, Guanyu Zhou
    Pages 85-141
  5. Protein Structures

    • Hiroki Kodama, Yoichi Nakata
    Pages 161-175

About this book

This book describes the dynamics of biological cells and their mathematical modeling. The topics cover the dynamics of RNA polymerases in transcription, construction of vascular networks in angiogenesis, and synchronization of cardiomyocytes. Statistical analysis of single cell dynamics and classification of proteins by mathematical modeling are also presented.

The book provides the most up-to-date information on both experimental results and mathematical models that can be used to analyze cellular dynamics. Novel experimental results and approaches to understand them will be appealing to the readers. Each chapter contains 1) an introductory description of the phenomenon, 2) explanations about the mathematical technique to analyze it, 3) new experimental results, 4) mathematical modeling and its application to the phenomenon. Elementary introductions for the biological phenomenon and mathematical approach to them are especially useful for beginners.

The importance of collaboration between mathematics and biological sciences has been increasing and providing new outcomes. This book gives good examples of the fruitful collaboration between mathematics and biological sciences.

Keywords

  • Cellular dynamics
  • Cell dynamics
  • Mathematical modelling
  • Transcription
  • Angiogenesis
  • Cardiac muscle cells
  • Cellular automaton
  • Stochastic differential equation
  • Chromatin structure
  • Mathematical biology
  • Molecular biology
  • RNA polymerase

Editors and Affiliations

  • Graduate School of Mathematical Sciences, The University of Tokyo, Meguro-ku, Japan

    Tetsuji Tokihiro

About the editor

Tetsuji Tokihiro has been a Professor at the Graduate School of Mathematical Sciences, the University of Tokyo, Japan since 1999. His research interests include applied mathematics, especially nonlinear integrable systems, ultradiscrete systems, and mathematical medicine. He received his PhD from the University of Tokyo in 1986. He worked as a postdoctoral fellow at the University of Pennsylvania, and a lecturer in the Department of Applied Physics at the University of Tokyo, prior to joining the Graduate School of Mathematical Sciences, the University of Tokyo.

Bibliographic Information

Buying options

eBook USD 139.00
Price excludes VAT (USA)
  • ISBN: 978-981-16-7132-6
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Hardcover Book USD 179.99
Price excludes VAT (USA)