Mathematical Models in Developmental Biology

✍ Scribed by Childress, Stephen; Percus, Jerome Kenneth

• Publisher: Courant Institute of Mathematical Sciences;American Mathematical Society
• Year: 2015
• Tongue: English
• Leaves: 265
• Series: Courant lecture notes in mathematics volume 26
• Category: Library

✦ Synopsis

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

✦ Table of Contents

Content: Chapter 1. Introduction Chapter 2. Catastrophe theory Chapter 3. Pattern formation Chapter 4. Differential adhesion and morphogenesis Chapter 5. The origins of movement Chapter 6. Chemotaxis Chapter 7. Cell proliferation Chapter 8. Somite formation in vertebrates Chapter 9. Compartments Chapter 10. Segmentation of insect embryos Supplementary notes.

✦ Subjects

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