Mathematical Models for Biological Pattern Formation (The IMA Volumes in Mathematics and its Applications / Frontiers in Applications of Mathematics) - Frontiers in Biological Mathematics - P. K. Mainii, H. G. Othmer, P. K. Maini, Maini, Philip K, Othmer, H. G (2000)
ISBN 0387951032
Subject Pattern formation (Biology) - Mathematical models
Publisher Springer
Publication Date 10/6/2000
Format Hardcover (236 x 155 mm)
Language eng
The formation of patterns in developing biological systems involves the spatio-temporal coordination of growth, cell-cell signalling, tissue movement, gene expression and cell differentiation. The interactions of these complex processes are generally nonlinear, and this mathematical modelling and analysis are needed to provide the framework in which to compute the outcome of different hypothesis on modes of interaction and to make experimentally testable predictions. This collection contains papers exploring several aspects of the hierarchy of processes occurring during pattern formation. A number of papers address the modelling of cell movement and deformation, with application to pattern formation within a collection of cells in response to external signalling cues. The results are considered in the context of pattern generation in Dictyostelium discoideum and bacterial colonies. A number of models at the macroscopic level explore the possible mechanisms underlying spatio-temporal pattern generation in early development, focussing on primitive streak, somitogenesis, vertebrate limb development and pigmentation patterning. The latter two applications consider in detail the effects of growth on patterning. The potential of models to generate more complex patterns are considered and models involving different modes of cell-cell signalling are investigated. Pattern selection is analyzed in the context of chemical Turing patterns, which serve as a paradigm for morphogenesis and a model for vegetation patterns is presented.
Personal Details
Collection Status In Collection
Index 1403
Read It Yes
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Product Details
LoC Classification QH491.M29 2001
Dewey 570/.5/118
Cover Price $119.00
No. of Pages 317