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ALGEBRAIC ASPECTS OF (BIO) NANO-CHEMICAL REACTION NETWORKS AND BIFURCATIONS IN VARIOUS DYNAMICAL SYSTEMS
| Title: | ALGEBRAIC ASPECTS OF (BIO) NANO-CHEMICAL REACTION NETWORKS AND BIFURCATIONS IN VARIOUS DYNAMICAL SYSTEMS. |
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| Name(s): |
Chen, Teng, Author Brennan, Joseph, Committee Chair University of Central Florida, Degree Grantor |
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| Type of Resource: | text | |
| Date Issued: | 2011 | |
| Publisher: | University of Central Florida | |
| Language(s): | English | |
| Abstract/Description: | The dynamics of (bio) chemical reaction networks have been studied by different methods. Among these methods, the chemical reaction network theory has been proven to successfully predicate important qualitative properties, such as the existence of the steady state and the asymptotic behavior of the steady state. However, a constructive approach to the steady state locus has not been presented. In this thesis, with the help of toric geometry, we propose a generic strategy towards this question. This theory is applied to (bio)nano particle con gurations. We also investigate Hopf bifurcation surfaces of various dynamical systems. | |
| Identifier: | CFE0003933 (IID), ucf:48689 (fedora) | |
| Note(s): |
2011-08-01 Ph.D. Sciences, Department of Mathematics Doctorate This record was generated from author submitted information. |
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| Subject(s): |
toric geometry chemical reaction network theory bifurcation dynamical system |
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| Persistent Link to This Record: | http://purl.flvc.org/ucf/fd/CFE0003933 | |
| Restrictions on Access: | campus 2012-07-01 | |
| Host Institution: | UCF |
