Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Integrating Biosystem Models Using Waveform Relaxation | Hindawi Publishing Corporation EURASIP Journal on Bioinformatics and Systems Biology Volume 2008 Article ID 308623 18 pages doi 2008 308623 Research Article Integrating Biosystem Models Using Waveform Relaxation Linzhong Li 1 2 Robert M. Seymour 2 3 and Stephen Baigent2 1 Institute for Energy Technology IFE P. O. Box 40 2027 Kjeller Norway 2 Department of Mathematics University College London Gower Street London WC1E 6BT UK 3 Center for Mathematics and Physics in the Life Sciences and Experimental Biology Complex University College London Wolfson House 4 Stephenson Way London NW1 2HE UK Correspondence should be addressed to Robert M. Seymour rms@ Received 24 June 2008 Accepted 24 August 2008 Recommended by John Goutsias Modelling in systems biology often involves the integration of component models into larger composite models. How to do this systematically and efficiently is a significant challenge coupling of components can be unidirectional or bidirectional and of variable strengths . We adapt the waveform relaxation WR method for parallel computation of ODEs as a general methodology for computing systems of linked submodels. Four test cases are presented i a cascade of unidirectionally and bidirectionally coupled harmonic oscillators ii deterministic and stochastic simulations of calcium oscillations iii single cell calcium oscillations showing complex behaviour such as periodic and chaotic bursting and iv a multicellular calcium model for a cell plate of hepatocytes. We conclude that WR provides a flexible means to deal with multitime-scale computation and model heterogeneity. Global solutions over time can be captured independently of the solution techniques for the individual components which may be distributed in different computing environments. Copyright 2008 Linzhong Li et al. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any
