Mathematical models in developmental biology
著者
書誌事項
Mathematical models in developmental biology
(Courant lecture notes in mathematics, 26)
Courant Institute of Mathematical Sciences, New York University , American Mathematical Society, c2015
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注記
Includes bibliographical references (p. 237-243) and index
内容説明・目次
内容説明
The path from relatively unstructured egg to full organism is one of the most fascinating trajectories in the biological sciences. Its complexity calls for a very high level of organization, with an array of subprocesses in constant communication with each other. These notes introduce an interleaved set of mathematical models representative of research in the last few decades, as well as the techniques that have been developed for their solution. Such models offer an effective way of incorporating reliable data in a concise form, provide an approach complementary to the techniques of molecular biology, and help to inform and direct future research.
目次
Introduction
Catastrophe theory
Pattern formation
Differential adhesion and morphogenesis
The origins of movement
Chemotaxis Cell proliferation
Somite formation in vertebrates
Compartments
Segmentation of insect embryos
Supplementary notes
Bibliography
Index
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