PhD comprehensive exam | Midhun Kathanaruparambil S., Stochastic simulation of reduced dimensional chemical master equation

Stochastic simulation of reduced dimensional chemical master equation

Abstract

Chemical master equation (CME) models of biochemical systems are typically of very high order. As the number of species, the molecular population of each species and the number of reaction channels increases, the order of the CME explodes. A complete statistical description of such a huge system is computationally expensive to attain. Moreover a biochemical system's inherent feature, multiple timescales, also makes the system more difficult to solve. By using timescale separation method and probability conservation on the reduced dimension, we can reduce the system to a significantly lower dimension. By this approach the biochemical system itself is reduced and the corresponding reduced chemical master equation's dynamics occur only on a slow timescale.