Alternating Weighted Least Squares Parameter Estimation for Biological S-Systems
The S-system,which is a set of nonlinear ordinary differential equations and derived from the generalized mass action law,is a consistent model to describe various biological systems.Parameters in S-systems contain important biological information and yet can not be obtained directly from experiments.Therefore,the parameter estimation methods are a choice to estimate parameters in S-systems.However,the parameter estimation for this model turns out to be a complex nonlinear optimization problem.A novel method,alternating weighted least squares (AWLS),is proposed in this paper to estimate the parameters in S-systems.The fast deterministic AWLS method takes advantage of the special structure of the S-system model and reduces solving the nonlinear optimization problem into alternately solving weighed least squares problems which have analytical solutions.The effectiveness of AWLS is demonstrated by the simulation studies and the results show that the AWLS outperforms the existing alternating regression method.
Li-Zhi Liu Fang-Xiang Wu Wen-Jun Zhang
Department of Mechanical Engineering,University of Saskatchewan, 57 Campus Dr., Saskatoon, SK, S7N 5 Department of Mechanical Engineering, Division of Biomedical Engineering,University of Saskatchewan, Department of Mechanical Engineering,Division of Biomedical Engineering,University of Saskatchewan,
国际会议
6th International Conference on Systems Biology (第六届国际系统生物学会议)(ISB2012)
西安
英文
6-11
2012-08-19(万方平台首次上网日期,不代表论文的发表时间)