Bistability in Gene Regulation

This lecture covers the concept of bistability in gene regulation, focusing on the analysis of fixed points and bifurcation diagrams. The instructor explains how dimensionless analysis is useful in understanding the behavior of gene regulatory networks, illustrating the critical cases where bifurcation points occur. Through parametric forms and critical cases, the lecture delves into the conditions for finding tangents and determining the number of fixed points. The presentation also explores hysteresis behavior and the stability of fixed points in bistable systems, providing insights into the dynamics of gene expression under the control of circadian clocks.