Dominant Kinetic Paths of Complex Systems: Gene Networks

We developed a new method for quantifying the paths and the associated weights for complex systems in discrete state space with general Markov Chains. We identified the dominant paths among all possible paths. We applied our Method to gene networks. We computed the dominant paths and the transition rates from the off basin to the on basin for the gene regulatory motif, self-activators', and observe turnover kinetic behavior of transitions from nonadiabatic to adiabatic regimes.