Seminars & Colloquia Calendar
Combinatorial structure of continuous dynamics in gene regulatory networks
Tomas Gedeon (Montana State University)
Location: Hill 705
Date & time: Tuesday, 26 September 2023 at 11:00AM - 12:00PM
We first describe the mathematical foundation of DSGRN (Dynamic Signatures Generated by Regulatory Networks), an approach that provides a combinatorial description of global dynamics of a network over its entire parameter space. Finite description allows comparison of parameterized dynamics between hundreds of networks to discard networks that are not compatible with experimental data. We describe a close connection of DSGRN to Boolean network models that allows us to view DSGRN as a platform for bifurcation theory of Boolean maps. Finally, we describe current efforts to rigorously connect the combinatorial structures to structure of attractors of continuous ODE models of network dynamics. We discuss several applications of this methodology to systems biology.