Type of Document	Dissertation
Author	Veliz-Cuba, Alan A.
URN	etd-07092010-144024
Title	The Algebra of Systems Biology
Degree	PhD
Department	Genetics, Bioinformatics, and Computational Biology
Advisory Committee	Advisor Name Title Laubenbacher, Reinhard C. Committee Chair Burns, John A. Committee Member Jarrah, Abdul Salam Committee Member Mortveit, Henning S. Committee Member Tyler, Brett M. Committee Member
Keywords	Systems Biology Finite Dynamical Systems Reverse Engineering Model Reduction Finite Fields Polynomial Algebra Discrete Models Mathematical Biology
Date of Defense	2010-07-05
Availability	unrestricted
Abstract In order to understand biochemical networks we need to know not only how their parts work but also how they interact with each other. The goal of systems biology is to look at biological systems as a whole to understand how interactions of the parts can give rise to complex dynamics. In order to do this efficiently, new techniques have to be developed. This work shows how tools from mathematics are suitable to study problems in systems biology such as modeling, dynamics prediction, reverse engineering and many others. The advantage of using mathematical tools is that there is a large number of theory, algorithms and software available. This work focuses on how algebra can contribute to answer questions arising from systems biology.
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