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  • Book
  • © 2007

Single-Cell-Based Models in Biology and Medicine

Birkhäuser
  • 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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eBook USD 189.00
Price excludes VAT (USA)
  • ISBN: 978-3-7643-8123-3
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Table of contents (13 chapters)

  1. Front Matter

    Pages i-ix
  2. Hybrid Multiscale Models

    1. Front Matter

      Pages 1-1
    2. Two-dimensional Multiscale Model of Cell Motion in a Chemotactic Field

      • Mark Alber, Nan Chen, Tilmann Glimm, Pavel Lushnikov
      Pages 53-76
  3. The Cellular Potts Model and Its Variants

    1. Front Matter

      Pages 77-77
    2. Magnetization to Morphogenesis: A Brief History of the Glazier-Graner-Hogeweg Model

      • James A. Glazier, Ariel Balter, Nikodem J. Popławski
      Pages 79-106
    3. The Cellular Potts Model and Biophysical Properties of Cells, Tissues and Morphogenesis

      • Athanasius F. M. Marée, Verônica A. Grieneisen, Paulien Hogeweg
      Pages 107-136
    4. The Cellular Potts Model in Biomedicine

      • Nicholas J. Savill, Roeland M. H. Merks
      Pages 137-150
    5. The Glazier-Graner-Hogeweg Model: Extensions, Future Directions, and Opportunities for Further Study

      • Ariel Balter, Roeland M. H. Merks, Nikodem J. Popławski, Maciej Swat, James A. Glazier
      Pages 151-167
  4. Viscoelastic Cell Models

    1. Front Matter

      Pages 241-241
    2. Cell-based Models of Blood Clotting

      • Aaron L. Fogelson
      Pages 243-269
  5. Back Matter

    Pages 325-349

About this book

To adequately describe complex spatio-temporal processes that occur in multi-cellular organisms, a class of models is required that simultaneously takes into account differences between individual cells as well as their ability to communicate and interact with one another and their environment. Single-cell-based models form a framework that allows for the explicit incorporation of different properties of individual cells, but at the same time enables all cells to act together as one collective body. This leads ultimately to more biologically realistic models of heterogeneous tissues and multi-cellular organisms and allows for a better understanding of the principles underlying the complex biological processes occurring during the formation, growth and maintenance of multi-cellular bodies.

The aim of this book is to assemble a collection of different mathematical and computational models and techniques that focus on individual cells, cell processes and cell behaviour, that are also suitable to address problems on the multi-cellular or tissue scale. We would like to focus the level of the book equally to students starting their research in the field of mathematical biology and to scientists already modelling multi-cellular processes. Therefore, our intention is to include in this book a detailed description of each model and an extensive review of suitable biological and medical applications.

Keywords

  • Single Cell Model
  • biology
  • cell
  • cell membrane
  • cellular processes
  • environment
  • evolution
  • mathematical biology
  • membrane
  • model
  • modeling
  • morphogenesis
  • simulation
  • tissue

Editors and Affiliations

  • Division of Mathematics, University of Dundee, Dundee, UK

    Alexander R. A. Anderson, Mark A. J. Chaplain, Katarzyna A. Rejniak

Bibliographic Information

Buying options

eBook USD 189.00
Price excludes VAT (USA)
  • ISBN: 978-3-7643-8123-3
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout