title: Multi-scale approach for simulating time-delay biochemical reaction systems.
abstract: This study presents a multi-scale approach for simulating time-delay biochemical reaction systems when there are wide ranges of molecular numbers. The authors construct a new efficient approach based on partitioning into slow and fast subsets in conjunction with predictor-corrector methods. This multi-scale approach is shown to be much more efficient than existing methods such as the delay stochastic simulation algorithm and the modified next reaction method. Numerical testing on several important problems in systems biology confirms the accuracy and computational efficiency of this approach.
authors.affiliation: Key Laboratory of Systems Biology, Shanghai Institutes for Biological Sciences, Chinese Academy of Sciences, Shanghai 200031, People's Republic of China. yuanlingniu@gmail.com.
authors.forename: Yuanling
authors.initials: Y
authors.lastname: Niu
authors.affiliation: School of Mathematical Sciences, Queensland University of Technology, Brisbane QLD 4001, Australia.
authors.forename: Kevin
authors.initials: K
authors.lastname: Burrage
authors.affiliation: School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China.
authors.forename: Chengjian
authors.initials: C
authors.lastname: Zhang
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D008954:Models, Biological; D008956:Models, Chemical; D011506:Proteins / Q000737:chemistry* / Q000378:metabolism*; D015398:Signal Transduction / Q000502:physiology*
chemical_list: D011506:Proteins