Kitayama Tomoya, Kinoshita Ayako, Sugimoto Masahiro, Nakayama Yoichi, Tomita Masaru
Institute of Advanced Bioscience, Keio University, Fujisawa, 252-8520, Japan.
Theor Biol Med Model. 2006 Jul 17;3:24. doi: 10.1186/1742-4682-3-24.
In order to improve understanding of metabolic systems there have been attempts to construct S-system models from time courses. Conventionally, non-linear curve-fitting algorithms have been used for modelling, because of the non-linear properties of parameter estimation from time series. However, the huge iterative calculations required have hindered the development of large-scale metabolic pathway models. To solve this problem we propose a novel method involving power-law modelling of metabolic pathways from the Jacobian of the targeted system and the steady-state flux profiles by linearization of S-systems.
The results of two case studies modelling a straight and a branched pathway, respectively, showed that our method reduced the number of unknown parameters needing to be estimated. The time-courses simulated by conventional kinetic models and those described by our method behaved similarly under a wide range of perturbations of metabolite concentrations.
The proposed method reduces calculation complexity and facilitates the construction of large-scale S-system models of metabolic pathways, realizing a practical application of reverse engineering of dynamic simulation models from the Jacobian of the targeted system and steady-state flux profiles.
为了增进对代谢系统的理解,人们尝试从时间进程构建S-系统模型。传统上,由于从时间序列进行参数估计具有非线性特性,非线性曲线拟合算法一直被用于建模。然而,所需的大量迭代计算阻碍了大规模代谢途径模型的发展。为了解决这个问题,我们提出了一种新方法,该方法通过S-系统的线性化,从目标系统的雅可比矩阵和稳态通量分布对代谢途径进行幂律建模。
分别对一条直链途径和一条分支途径进行建模的两个案例研究结果表明,我们的方法减少了需要估计的未知参数数量。在代谢物浓度的广泛扰动下,传统动力学模型模拟的时间进程与我们的方法所描述的时间进程表现相似。
所提出的方法降低了计算复杂度,便于构建大规模的代谢途径S-系统模型,实现了从目标系统的雅可比矩阵和稳态通量分布对动态模拟模型进行逆向工程的实际应用。