The Algebra of Systems Biology

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.

Name thesis:degree_name

Ph. D.

Level thesis:degree_level

doctoral

Discipline thesis:degree_discipline

Mathematics

Department dc:contributor.department

Mathematics

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

2010

Author dc:creator

• Veliz-Cuba, Alan A.

Chair dc:contributor.committeechair

• Laubenbacher, Reinhard C.

Committee members dc:contributor.committeemember

• Burns, John A.
• Jarrah, Abdul Salam
• Mortveit, Henning S.
• Tyler, Brett M.

• Systems Biology
• Finite Dynamical Systems
• Reverse Engineering
• Model Reduction
• Finite Fields
• Polynomial Algebra
• Discrete Models
• Mathematical Biology

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Dc Identifier Other

etd-07092010-144024

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/28240