Multiscale Stochastic Models

We developed a solution to a mathematical problem that remained unsolved for over seventy years. We developed a numerical closure scheme for the equation that governs random molecular events in biological systems. Randomness is a defining feature of biomolecular systems, determining all too frequently the fate of a living organism.

stochasticity impacts life

The most complete model of randomly evolving molecular populations is one based on the master probability equation. The master in the name reflects the all-encompassing nature of an equation that purports to govern all possible outcomes for all time. Because of its ambitious character, the master equation remained unsolved for all but the simplest of molecular interaction networks. Now, with the first complete solution of chemical master equations, a wide range of experimental observations of biomolecular interactions may be mathematically conceptualized.

 

Related: http://www.pnas.org/content/110/35/14261.abstract.html?etoc