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Mathematical Models for Society and Biology, 2nd Edition
book

Mathematical Models for Society and Biology, 2nd Edition

by Edward Beltrami
June 2013
Intermediate to advanced content levelIntermediate to advanced
288 pages
8h 12m
English
Academic Press
Content preview from Mathematical Models for Society and Biology, 2nd Edition
Chapter 11

Spatial Patterns

The Cat’s Tail and Spreading Slime

11.1 Background

In the previous chapter we encountered a class of models in which two separate dynamics are at work. A reaction term designates the positive growth rate of some organism or chemical within a region. The diffusion term is the rate at which this stuff is dispersed. In the specific example we considered, the algal cells are scattered to outside the region, where no growth can take place, and so reaction and diffusion oppose each other. In the present chapter these terms interact synergistically, and diffusion is the source of pattern formation and not an inhibitor.

Near the end of his life, after having completed his formidable work on computability and, later, the breaking ...

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Publisher Resources

ISBN: 9780124046245