TY - GEN
T1 - A stochastic approach to studying biochemical reactions without Monte Carlo simulations
AU - Mane, Vibha
AU - Bugallo, Mónica F.
AU - Djurić, Petar M.
PY - 2009
Y1 - 2009
N2 - The time evolution of molecular species in a biochemical system is a discrete-state continuous-time Markov process, which can be described by a chemical master equation. The traditional methods for solving the chemical master equation are based on Monte Carlo methods, such as the stochastic simulation algorithm (SSA). In prior work, we proposed a method for simulation of the time evolution based on the propagation of the first two moments of the molecules in the biochemical system over time. In this paper we present a generalization of our previous result. We also compare our method with other methods such as the stochastic hybrid systems (SHS).
AB - The time evolution of molecular species in a biochemical system is a discrete-state continuous-time Markov process, which can be described by a chemical master equation. The traditional methods for solving the chemical master equation are based on Monte Carlo methods, such as the stochastic simulation algorithm (SSA). In prior work, we proposed a method for simulation of the time evolution based on the propagation of the first two moments of the molecules in the biochemical system over time. In this paper we present a generalization of our previous result. We also compare our method with other methods such as the stochastic hybrid systems (SHS).
KW - Biochemical processes
KW - Biological systems
KW - Moment propagation methods
KW - Stochastic simulation
UR - https://www.scopus.com/pages/publications/72349086584
U2 - 10.1109/SSP.2009.5278518
DO - 10.1109/SSP.2009.5278518
M3 - Conference contribution
AN - SCOPUS:72349086584
SN - 9781424427109
T3 - IEEE Workshop on Statistical Signal Processing Proceedings
SP - 549
EP - 552
BT - 2009 IEEE/SP 15th Workshop on Statistical Signal Processing, SSP '09
T2 - 2009 IEEE/SP 15th Workshop on Statistical Signal Processing, SSP '09
Y2 - 31 August 2009 through 3 September 2009
ER -