Henzinger, Thomas AIST Austria ; Mateescu, Maria ; Mikeev, Linar ; Wolf, Verena
We present a numerical approximation technique for the analysis of continuous-time Markov chains that describe net- works of biochemical reactions and play an important role in the stochastic modeling of biological systems. Our approach is based on the construction of a stochastic hybrid model in which certain discrete random variables of the original Markov chain are approximated by continuous deterministic variables. We compute the solution of the stochastic hybrid model using a numerical algorithm that discretizes time and in each step performs a mutual update of the transient prob- ability distribution of the discrete stochastic variables and the values of the continuous deterministic variables. We im- plemented the algorithm and we demonstrate its usefulness and efficiency on several case studies from systems biology.
55 - 65
CMSB: Computational Methods in Systems Biology
2010-09-29 – 2010-10-01
Henzinger TA, Mateescu M, Mikeev L, Wolf V. Hybrid numerical solution of the chemical master equation. In: Springer; 2010:55-65. doi:10.1145/1839764.1839772
Henzinger, T. A., Mateescu, M., Mikeev, L., & Wolf, V. (2010). Hybrid numerical solution of the chemical master equation (pp. 55–65). Presented at the CMSB: Computational Methods in Systems Biology, Trento, Italy: Springer. https://doi.org/10.1145/1839764.1839772
Henzinger, Thomas A, Maria Mateescu, Linar Mikeev, and Verena Wolf. “Hybrid Numerical Solution of the Chemical Master Equation,” 55–65. Springer, 2010. https://doi.org/10.1145/1839764.1839772.
T. A. Henzinger, M. Mateescu, L. Mikeev, and V. Wolf, “Hybrid numerical solution of the chemical master equation,” presented at the CMSB: Computational Methods in Systems Biology, Trento, Italy, 2010, pp. 55–65.
Henzinger TA, Mateescu M, Mikeev L, Wolf V. 2010. Hybrid numerical solution of the chemical master equation. CMSB: Computational Methods in Systems Biology 55–65.
Henzinger, Thomas A., et al. Hybrid Numerical Solution of the Chemical Master Equation. Springer, 2010, pp. 55–65, doi:10.1145/1839764.1839772.