[SS04] Dynamics and Structures of Biological Networks I: Chemical Reaction Networks

[SS04-04] Controlling Biological Networks

*Tetsuya J. Kobayashi^1,2 (1. Institute of Industrial Science, the University of Tokyo (Japan), 2. Universal Biology Institute, the University of Tokyo (Japan))

Keywords:

Optimal control,chemical reaction network,stochastic process,thermodynamics

Various biological systems, ranging from intracellular chemical reactions and cellular population dynamics to ecosystems, can be represented as networks of heterogeneous elements nonlinearly interacting with each other. Chemical reaction network theory offers a sound theoretical framework that encapsulates these phenomena and captures their mathematical and physical properties. These properties include topological constraints arising from graph and hypergraph structures shaped by interactions, and thermodynamic structure induced by kinetics. In this presentation, we exploit such properties for the stochastic control problems of biological networks. We demonstrate that a comprehensive control theory for managing nonlinear stochastic dynamics can be established by leveraging the information-theoretic and thermodynamic structures inherent in these systems. We showcase its applications to molecular motors, quantitative genetics, and epidemics.