Year of Award

1995

Document Type

Thesis

Degree Type

Master of Arts (MA)

Degree Name

Mathematics

Department or School/College

Department of Mathematical Sciences

Publisher

University of Montana

Abstract

There are several different ideas regarding pattern formation in the vertebrate limb. In this paper I will do a comparative study of several of the ideas and present mathematical models which describe three of the theories. A brief history of morphogenetic modeling will be presented, along with a summary of the biology involved. Then, the three models will be presented and proven using the method of stability analysis. Following the mathematical analysis of the models, I will talk about the possible types of patterns that can be produced, and compare the three models. Finally, I will discuss a recent discovery related to limb bud pattern formation.

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© Copyright 1995 Stephen Mihina