Title page for ETD etd-07092010-144024


Type of Document Dissertation
Author Veliz-Cuba, Alan A.
URN etd-07092010-144024
Title The Algebra of Systems Biology
Degree PhD
Department Mathematics
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
  • Model Reduction
  • Mathematical Biology
  • Polynomial Algebra
  • Reverse Engineering
  • Finite Fields
  • Finite Dynamical Systems
  • Discrete Models
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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