Time:9:00-10:00, Wednesday, December 20 2023
Venue:E4-233 & ZOOM
ZOOM ID:968 1921 4192
PASSCODE:621443
Speaker:Jiaxin Jin, Zassenhaus Assistant Professor, The Ohio State University
Title:Biochemical reaction networks
Abstract:
I will discuss mathematical models of biochemical reaction networks. First, I will introduce mathematical models of biochemical reaction networks under the classical assumption of mass action kinetics. Then we restrict our attention to toric dynamical systems, which appear naturally as models of reaction networks and have very robust and stable dynamical properties. We then extend these models to disguised toric dynamical systems, which are generated by a reaction network N, such that they have toric realization with respect to some other network N’. This allows us to greatly extend the applicability of the theory of toric systems. Then, by studying input-output networks, I will describe how the network structure can be connected to the property of homeostasis in biology. As the main result, we show all homeostasis patterns supported by a given input-output network in terms of a combinatorial structure associated to the input-output network.
