A Stochastic Simulation Algorithm For Biochemical Reactions With Delays
Biochemical systems can be described by biochemical reactions.Biochemical reactions can be investigated through mathematical modeling and stochastic simulations.Deterministic and stochastic models are two basic categories of models for biochemical reactions.Due to transmembrane transportation of biochemical species and delayed degradation,time delays are ubiquitous in coupled biochemical systems.Therefore,models for biochemical reactions can be further classified into delayed and un-delayed ones.For biochemical systems without delays,researchers have established the connections between deterministic models and stochastic models directly from the deterministic ones.For delayed biochemical systems,researchers have proposed some stochastic simulation methods to cope with biochemical reactions with time delays.However,the existing delayed stochastic simulation algorithms (SSA) are all incapable of realizing the comparison between highly nonlinear deterministic delayed models and stochastic models directly from the the deterministic ones.In this paper,we proposed a delayed SSA,which can realize the comparison between deterministic models and its stochastic counterparts.Furthermore,one can also use the algorithm to investigate intrinsic noise-induced behaviors,and the effect of system volumes.Several numerical examples show the effectiveness and correctness of our algorithm.
Pei Wang Jinhu L(u) Li Wan Yao Chen
Sch. Math. Inf. Sci.Henan UniversityKaifeng 475004, China Acad. Math. Syst. Sci.Chinese Academy of SciencesBeijing 100190, China Sch. Math. Comput. Sci.Wuhan Textile UniversityWuhan 430073, China Sch. Elect. Inf. Eng.Beijing Jiaotong Univ.Beijing 100044, China
国际会议
7th International Conference on Systems Biology(第7届计算系统生物学国际研讨会)(ISB2013)
安徽黄山
英文
109-114
2013-08-22（万方平台首次上网日期，不代表论文的发表时间）