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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 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.
List of contents
Chapter 1) Transcription Dynamics: Cellular Automaton Model of Polymerase Dynamics for Eukaryotes.- Chapter 2) Angiogenesis: Dynamics of Endothelial Cells in Sprouting and Bifurcation.- Chapter 3) Synchronization and Fluctuation of Cardiac Muscle Cells.- Chapter 4) Statistical Analysis of Cellular Directional Movement: Application for Research of Single Cell Movement.- Chapter 5) Protein Structures.
About the author
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.
