Mathematical modeling for genes to collective cell dynamics

Mathematical modeling for genes to collective cell dynamics

by Tokihiro, Tetsuji

Type Book
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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 cell…

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Title Statements

  • Full title :Mathematical modeling for genes to collective cell dynamics / Tetsuji Tokihiro, editor.

Summary

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.

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Edition Statements

  • Publication Date:©2021

Publication Statements

  • Publisher(s):Springer
  • Place of Publication:Singapore ; [Berlin]
  • Language:eng
  • Publication Date:©2021

The Physical Object

  • Description:vii, 175 pages : : illustrations (chiefly color) ; : 25 cm

Edition Identifiers

  • ISBN:9789811671319, 9811671311
  • oclc:on1309028239
  • LC Classification:QH581.2

Table of Contents

Transcription dynamics: cellular automaton model of polymerase dynamics for eukaryotes / Yoichi Nakata, Yoshihiro Ohta, and Youichiro Wada -- Angiogenesis: dynamics of endothelial cells in sprouting and bifurcation / Hiroki Kurihara, Jun Mada, Tetsuji Tokihiro, Kazuo Tonami, Toshiyuki Ushijima, and Fumitaka Yura -- Synchronization and fluctuation of cardiac muscle cells / Tatsuya Hayashi, Kenji Yasuda, and Guanyu Zhou -- Statistical analysis of cellular directional movement: application for research of single cell movement / Masahiro Kanai, Kazuo Tonami, and Hideto Tozawa -- Protein structures / Hiroki Kodama and Yoichi Nakata.

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