Description
Book SynopsisIntroduced by Da Arcy Thompson in his classic work On Growth and Form, the area of spatio--temporal pattern formation is a research specialty within mathematical biology. It provides a mathematical model and analysis of the many variegated patterns in nature, such as the markings on a tiger or the growth of a shell.
Trade Review"...a useful resource for mathematics students...recommend anyone interested in biomathematics to look at [it]..." (Mathematics Today, Dec 2003)
"...scope of the book is broad...interesting for everyone regardless of expertise in this field..." (Simulation News Europe, Dec 2003)
Table of ContentsProblems of Development: The Microcosm and the Macrocosm.
Development of the Vertebrate Limb: A Model for Growth and Patterning.
Pattern Formation on Butterfly Wings.
Pattern Formation in Cancer.
Turing Structures of the Second Kind.
Pattern Formation Mechanisms in Skin and Hair: Some Experimental Tests.
Some Mathematical Models for Biological Pattern Formation.
On Pattern and Growth.
Diversity in Pattern and Form of Biological Systems and Evolution: A Theoretical Approach.
Developmental Morphologies Not Directly Specified by the Genome of the Individual.
The Role of Chemotactic Cell Movement in Dictyostelium Morphogenesis.
Angiogenesis: Experimental Data Relevant to Theoretical Analysis.
Modelling the Growth and Form of Capillary Networks.
On the Mechanochemical Theory of Biological Pattern Formation with Applications to Wound Healing and Angiogenesis.
Statistics and Dynamics of Cellular Shape Changes.
Shape Asymmetry and Developmental Stability.
Invariance and Morphometrics: A Critical Appraisal of Statistical Techniques for Landmark Data.
Statistical Shape Analysis and its Applications.
Sphenoethmoidal Growth, Malgrowth, and Midfacial Profile
Ontogeny and Phylogeny: Some Morphometric Approaches to the Skeletal Growth and Evolution.
D'Arcy Thompson and the Problem of Biological Form.
Index.
