Kinetic Descriptions of Chemical and Biological Systems:
Analysis and simulation of multiscale stochastic intracellular bio-chemical reacting networks
Michigan State University
Intracellular reacting networks involving gene regulation often
exhibits multiscale properties. That includes multiple reacting rates,
multiple population magnitudes and multi-stability. Direct Stochastic
Simulation Algorithm (SSA) would turn out to be inefficient dealing
with such systems. Schemes such as Nested SSA and Tau-leaping method
have proved to be effective for certain asymptotic regimes.
Based on the framework of transition path theory (TPT), we extended the
probability current between two adjacent reacting states to single reacting
states as well as reacting trajectories, thereby give the definition of
transition state (TS) as states with maximum velocity strength.
I will present recent results on the convergence analysis and
applications of the algorithms.