Chen T, He H L, Church G M
Department of Genetics, Harvard Medical School, Boston, MA 02115, USA.
Pac Symp Biocomput. 1999:29-40.
We propose a differential equation model for gene expression and provide two methods to construct the model from a set of temporal data. We model both transcription and translation by kinetic equations with feedback loops from translation products to transcription. Degradation of proteins and mRNAs is also incorporated. We study two methods to construct the model from experimental data: Minimum Weight Solutions to Linear Equations (MWSLE), which determines the regulation by solving under-determined linear equations, and Fourier Transform for Stable Systems (FTSS), which refines the model with cell cycle constraints. The results suggest that a minor set of temporal data may be sufficient to construct the model at the genome level. We also give a comprehensive discussion of other extended models: the RNA Model, the Protein Model, and the Time Delay Model.
我们提出了一个用于基因表达的微分方程模型，并提供了两种从一组时间数据构建该模型的方法。我们通过带有从翻译产物到转录的反馈回路的动力学方程对转录和翻译进行建模。蛋白质和mRNA的降解也被纳入其中。我们研究了两种从实验数据构建模型的方法：线性方程的最小权重解（MWSLE），它通过求解欠定线性方程来确定调控；以及稳定系统的傅里叶变换（FTSS），它利用细胞周期约束来优化模型。结果表明，少量的时间数据可能足以在基因组水平构建模型。我们还对其他扩展模型进行了全面讨论：RNA模型、蛋白质模型和时间延迟模型。
