Figure 3.

Criticality for mutually repressing genes in multiple dimensions. (A) Idealization of a system generalizing the two-dimensional model in many dimensions. (B) Model of five mutually repressing genes stabilizing in different states as a function of exposure time. (i–vii) Longer exposure times. Networks are initialized with one gene high (e.g., G₁ = 4.5, G_i = 0). S steps from 1 down to 0 at various times (indicated by vertical dashed lines), and the system subsequently stabilizes at different states. (C) Evolution of multidimensional model as a function of time. Variation of parameters shapes different relative timing of expressions of genes. (i–vii) Increase of θ_iM (θ_iM = 1.50, 1.53, 1.56, 1.59, respectively) yields longer timescales. (v–vii) Asymmetrical modifications of θ_iM gives much longer expression for a given gene. (D) Spatial final pattern corresponding to (C) for a traveling step of M (speed: 1 cell per unit of time) for comparison of temporal and spatial profiles. To see this figure in color, go online.