On Growth and Form: Spatio-Temporal Pattern Formation in Biology

About this book

Spatio-temporal pattern formation is a major area of research in the field of mathematical biology. This book represents research into various aspects of spatio-temporal pattern and form, such as developmental biology, reaction-diffusion systems, and morphometrics. It also covers pattern formation in developmental biology, pattern formation in reaction-diffusion systems, pattern formation in intercellular systems, and pattern and form in morphometrics.

Contents

On growth and form: pattern formation in development; the microcosm and the macrocosm; generation of pattern in vertebrate limb development; pattern, growth and form in insect limbs; turing patterns of the second kind. On the mathematics of form: the patterns in skin and hair; colour pattern on tropical sea shells and phyllotaxis - mathematical modelling demonstrates an inherent similarity in both patterning processes; a review of some mathematical models for embryonic pattern formation; pattern formation in cancer. On the dynamics of form: from single cells to an organism; the morphogenesis of dyctiostelium; pattern and form of capillary networks through endothelial cell migration; developmental morphologies not directly specified by the genome of the individual.

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