Understanding Zebrafish Pigment Pattern Formation Using Mathematical Modelling

Understanding Zebrafish Pigment Pattern Formation Using Mathematical Modelling

Mathematical Models for Biological Pattern Formation

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.

Pigments, Pigment Cells and Pigment Patterns

This book comprehensively summarizes the biological mechanisms of coloration and pattern formation of animals at molecular and cellular level, offering up-to-date knowledge derived from remarkable progress in the last 10 years. The brilliant coloration, conspicuous patterns and spectacular color changes displayed by some vertebrates and invertebrates are generally their strategies of the utmost importance for survival. Consists of mainly three parts, starts with introductory chapter, such as Pigments and Pigment Organelles, Developmental Genetics of Pigment Cell Formation, Adult Pigment Patterns, and Color Changes, this book introduces new pigment compounds in addition to classically known pigments and organelles, explains how the generation of multiple types of pigment cell is genetically controlled, describes the mechanisms underlying the zebrafish stripe formation as well as other animals and also summarizes the mechanism of physiological and morphological color changes of teleost, amphibian and cephalopod. Written by experts in the field, this book will be essential reading for graduate students and researchers in biological fields who are interested in pigmentation mechanisms of animals.