Liu Taiyuan, Jia Jianfang, Wang Hong, Yue Hong
Institute of Automation, Chinese Academy of Sciences, Beijing 100080, China.
Sheng Wu Yi Xue Gong Cheng Xue Za Zhi. 2009 Feb;26(1):22-9.
The modeling of signal transduction pathways is a task of systems biology. However, such a task is very difficult because of the structure complexity, the strong nonlinearity of signaling pathways and the noised and incomplete measurements. The Levenberg-Marquardt algorithm (LM algorithm) is applied to estimate the unknown parameters of the signaling pathways. With this method, the identifiability of unknown parameters is appraised, and the sensitivity equations of original model are evaluated. Then we append the sensitivity equations to the original model in order to form the augmented model, and we apply the Levenberg-Marquardt algorithm to the augmented model in order to estimate parameters. TNFalpha mediated NF-kappaB signaling pathway is taken as an example to illustrate the effectiveness of this method, and the simulation results are given.
信号转导通路的建模是系统生物学的一项任务。然而，由于信号通路的结构复杂性、强烈的非线性以及有噪声和不完整的测量数据，这样的任务非常困难。采用Levenberg-Marquardt算法（LM算法）来估计信号通路的未知参数。利用该方法，评估未知参数的可识别性，并计算原始模型的灵敏度方程。然后将灵敏度方程附加到原始模型中以形成增广模型，并将Levenberg-Marquardt算法应用于增广模型以估计参数。以肿瘤坏死因子α介导的核因子κB信号通路为例来说明该方法的有效性，并给出了仿真结果。
