Honor’s College Freeman Research Journal

Author

Igor Vouffo

Date of Award

Spring 5-2022

Document Type

Thesis

Department

Chemistry

First Advisor

Dr. Yunjiao Wang

Abstract

Network architecture imposes constrains on the types of dynamics a network system admits. Chemical reaction networks have further constrains coming from a special feature of reaction rate functions: the kinetic equations can be written as a product of a constant matrix (stoichiometric matrix) and its kinetics. Such special feature enables us to utilize the existing results from linear algebra to identify network conditions for addressing questions about dynamics. In this thesis, we reviewed some results by M. Feignberg and his collaborators regarding to the graphic conditions for multiplicity of equilibria (constant solutions), and also reviewed a result by Hirono et al, who considered reduction of chemical reaction network systems in the sense of identifying simpler ‘equivalent’ networks. i

Included in

Chemistry Commons

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