Role of noise and parametric variation in the dynamics of gene regulatory circuits

Illustration of sRACIPE. a The workflow of sRACIPE. The method integrates two ensemble-based sampling schemes—constant noise with multiple initial conditions (MIC) and simulated annealing (SA). b Illustration of the stability and basin of attraction using an example of a double-well potential. Upper left: High noise enables frequent transitions between the minima, and the steady-state probability distribution in each well is proportional to the stability of the well. Upper right: Intermediate noise permits a larger number of transitions from the less stable well to the more stable well, and some trajectories are trapped in the more stable well. Bottom left: As the noise is decreased further, the annealing based sampling scheme results in more occurrences of the particles in the more stable well. Bottom right: For low noise cases, the transitions between wells are rare. Thus, each well traps all the particles in its basin of attraction, and the steady-state probability distribution is proportional to the basin width of the well