Overview
- Focuses on structural, dynamical and functional aspects of cellular systems
- Presents corresponding experiments and mathematical models
- Introduces recent model approaches with applications
- Includes applied issues such as tumor cell growth, blood clotting and biotechnology
Part of the book series: Mathematics and Biosciences in Interaction (MBI)
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Table of contents (13 chapters)
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The Cellular Potts Model and Its Variants
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Off-lattice Cell Models
Keywords
About this book
Many different single-cell-based models have been developed and applied to biological and medical problems. Computational approaches used are Monte-Carlo simulations, energy minimisation techniques, volume conservation laws, solutions of the equations of motion for each individual cell or for each point on the cell membrane. They differ in the level of detail that defines the cell structure and subsequently in the number of individual cells that the model can incorporate.
This volume presents a collection of mathematical and computational single-cell-based models and their application. The main sections cover four general model groupings: hybrid cellular automata, cellular potts, lattice-free cells, and viscoelastic cells. Each section is introduced by a discussion of the applicability of the particular modelling approach and its advantages and disadvantages, which will make the book suitable for students starting research in mathematical biology as well as scientists modelling multicellular processes.
Editors and Affiliations
Bibliographic Information
Book Title: Single-Cell-Based Models in Biology and Medicine
Editors: Alexander R. A. Anderson, Mark A. J. Chaplain, Katarzyna A. Rejniak
Series Title: Mathematics and Biosciences in Interaction
DOI: https://doi.org/10.1007/978-3-7643-8123-3
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2007
Hardcover ISBN: 978-3-7643-8101-1Published: 22 June 2007
eBook ISBN: 978-3-7643-8123-3Published: 08 August 2007
Edition Number: 1
Number of Pages: IX, 349
Topics: Mathematical and Computational Biology, Physiological, Cellular and Medical Topics, Simulation and Modeling