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The Algebra of Systems Biology

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dc.contributor.authorVeliz-Cuba, Alan A.en
dc.contributor.committeechairLaubenbacher, Reinhard C.en
dc.contributor.committeememberBurns, John A.en
dc.contributor.committeememberJarrah, Abdul Salamen
dc.contributor.committeememberMortveit, Henning S.en
dc.contributor.committeememberTyler, Brett M.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T20:13:49Zen
dc.date.adate2010-07-16en
dc.date.available2014-03-14T20:13:49Zen
dc.date.issued2010-07-05en
dc.date.rdate2010-07-16en
dc.date.sdate2010-07-09en
dc.description.abstractIn 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.en
dc.description.degreePh. D.en
dc.identifier.otheretd-07092010-144024en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-07092010-144024/en
dc.identifier.urihttp://hdl.handle.net/10919/28240en
dc.publisherVirginia Techen
dc.relation.haspartVelizCuba_AA_T_2010.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectSystems Biologyen
dc.subjectFinite Dynamical Systemsen
dc.subjectReverse Engineeringen
dc.subjectModel Reductionen
dc.subjectFinite Fieldsen
dc.subjectPolynomial Algebraen
dc.subjectDiscrete Modelsen
dc.subjectMathematical Biologyen
dc.titleThe Algebra of Systems Biologyen
dc.typeDissertationen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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