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Mathematical Models for Biological Pattern Formation

  • Conference proceedings
  • © 2001

Overview

Editors:
  1. Philip K. Maini

    1. Mathematical Institute, University of Oxford, Oxford, UK

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  2. Hans G. Othmer

    1. School of Mathematics, University of Minnesota, Minneapolis, USA

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Part of the book series: The IMA Volumes in Mathematics and its Applications (IMA, volume 121)

Part of the book sub series: Frontiers in Applications of Mathematics (4522)

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Table of contents (13 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Biological Pattern Formation — A Marriage of Theory and Experiment

    • J. D. Murray
    Pages 1-9

  3. Spatiotemporal Pattern Formation in Early Development: A Review of Primitive Streak Formation and Somitogenesis

    • S. Schnell, K. J. Painter, P. K. Maini, H. G. Othmer
    Pages 11-37

  4. Mathematical Modeling of Vertebrate Limb Development

    • Robert H. Dillon
    Pages 39-57

  5. Models for Pigment Pattern Formation in the Skin of Fishes

    • K. J. Painter
    Pages 59-81

  6. Generic Modelling of Vegetation Patterns. A Case Study of Tiger Bush in Sub-Saharian Sahel

    • R. Lefever, O. Lejeune, P. Couteron
    Pages 83-112

  7. Chemical Turing Patterns: A Model System of a Paradigm for Morphogenesis

    • David J. Wollkind, Laura E. Stephenson
    Pages 113-142

  8. Beyond Spots and Stripes: Generation of More Complex Patterns by Modifications and Additions of the Basic Reaction

    • Hans Meinhardt
    Pages 143-164

  9. Spatiotemporal Patterning in Models of Juxtacrine Intercellular Signalling with Feedback

    • Nicholas A. M. Monk, Jonathan A. Sherratt, Markus R. Owen
    Pages 165-192

  10. Modelling Dictyostelium discoideum Morphogenesis

    • Bakhtier Vasiev, Cornelis J. Weijer
    Pages 193-209

  11. Modeling Branching and Chiral Colonial Patterning of Lubricating Bacteria

    • Eshel Ben-Jacob, Inon Cohen, Ido Golding, Yonathan Kozlovsky
    Pages 211-253

  12. Modeling Self-Propelled Deformable Cell Motion in the Dictyostelium Mound; a Status Report

    • Wouter-Jan Rappel, Herbert Levine, Alastair Nicol, William F. Loomis
    Pages 255-267

  13. A Minimal Model of Locomotion Applied to the Steady Gliding Movement of Fish Keratocyte Cells

    • A. Mogilner, E. Marland, D. Bottino
    Pages 269-293

  14. Computer Simulations of Mechanochemical Coupling in a Deforming Domain: Applications to Cell Motion

    • Dean C. Bottino
    Pages 295-314

  15. Back Matter

    Pages 315-327
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Keywords

About this book

This 121st IMA volume, entitled MATHEMATICAL MODELS FOR BIOLOGICAL PATTERN FORMATION is the first of a new series called FRONTIERS IN APPLICATION OF MATHEMATICS. The FRONTIERS volumes are motivated by IMA pro­ grams and workshops, but are specially planned and written to provide an entree to and assessment of exciting new areas for the application of mathematical tools and analysis. The emphasis in FRONTIERS volumes is on surveys, exposition and outlook, to attract more mathematicians and other scientists to the study of these areas and to focus efforts on the most important issues, rather than papers on the most recent research results aimed at an audience of specialists. The present volume of peer-reviewed papers grew out of the 1998-99 IMA program on "Mathematics in Biology," in particular the Fall 1998 em­ phasis on "Theoretical Problems in Developmental Biology and Immunol­ ogy." During that period there were two workshops on Pattern Formation and Morphogenesis, organized by Professors Murray, Maini and Othmer. James Murray was one of the principal organizers for the entire year pro­ gram. I am very grateful to James Murray for providing an introduction, and to Philip Maini and Hans Othmer for their excellent work in planning and preparing this first FRONTIERS volume. I also take this opportunity to thank the National Science Foundation, whose financial support of the IMA made the Mathematics in Biology pro­ gram possible.

Editors and Affiliations

  • Mathematical Institute, University of Oxford, Oxford, UK

    Philip K. Maini

  • School of Mathematics, University of Minnesota, Minneapolis, USA

    Hans G. Othmer

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