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EECS Publication

Models and Mechanisms of the Morphogenesis of Biological Structures

Kristy S. Van Hornweder

This report presents a discussion and illustration of mathematical and conceptual models of the morphogenesis of several biological structures. These biological structures serve useful purposes in organisms and they include branching structures, tubes, limbs, follicles and bristles, sheets and layers, and segments and somites. The analysis of the mathematical models includes a conceptual description of the mechanism behind the algorithm and numerous illustrative examples, which are often accompanied by equations and examples of the effects of varying a parameter in the system. Also addressed is the idea that a clearer understanding of the development of biological structures will lead future researchers to build artificial nanorobotic structures with a much higher level of complexity and sophistication than the current macroscale robots.

Published  2011-09-27 04:00:00  as  ut-cs-11-681 (ID:43)

ut-cs-11-681.pdf

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