Efficient implementation of the hybrid method for stochastic simulation of biochemical systems

S Wang, Y Cao - Proceedings of the ACM Conference on Bioinformatics …, 2012 - dl.acm.org
S Wang, Y Cao
Proceedings of the ACM Conference on Bioinformatics, Computational Biology …, 2012dl.acm.org
Stochastic effect in cellular systems has been a hot topic in systems biology. Stochastic
modeling and simulation methods are important tools to study stochastic effect. Given the
low efficiency of stochastic simulation algorithms, the hybrid method, which combines an
ordinary differential equation (ODE) system with a stochastic chemically reacting system,
shows its unique advantages in the modeling and simulation of biochemical systems. The
efficiency of hybrid method is usually limited by reactions in the stochastic subsystem, which …
Stochastic effect in cellular systems has been a hot topic in systems biology. Stochastic modeling and simulation methods are important tools to study stochastic effect. Given the low efficiency of stochastic simulation algorithms, the hybrid method, which combines an ordinary differential equation (ODE) system with a stochastic chemically reacting system, shows its unique advantages in the modeling and simulation of biochemical systems. The efficiency of hybrid method is usually limited by reactions in the stochastic subsystem, which are modeled and simulated using Gillespie's framework and frequently interrupt the integration of the ODE subsystem. In this paper we develop an efficient implementation method for the hybrid method with Runge-Kutta type of ODE solvers and compare the efficiency of hybrid methods with three widely used ODE solvers RADAU5, DASSL, and DLSODAR. Numerical experiments with three biochemical models are presented. A detailed discussion is presented for the performances of three ODE solvers.
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