Open AccessMulti‐scale approach for simulating time‐delay biochemical reaction systems
Author(s) -
Niu Yuanling,
Burrage Kevin,
Zhang Chengjian
Publication year - 2015
Publication title -
iet systems biology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.367
H-Index - 50
eISSN - 1751-8857
pISSN - 1751-8849
DOI - 10.1049/iet-syb.2013.0023
Subject(s) - computer science , scale (ratio) , systems biology , modelling biological systems , construct (python library) , algorithm , mathematical optimization , mathematics , computational biology , physics , quantum mechanics , biology , programming language
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.