Methods of robustness analysis for Boolean models of gene control networks
Methods of robustness analysis for Boolean models of gene control networks
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DOI：
10.1049/ip-syb:20050079
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发表时间：
2006-07-01
期刊：
影响因子：
--
通讯作者：
Albert, R.
中科院分区：
文献类型：
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作者：
Chaves, M.;Sontag, E. D.;Albert, R.
作为遗传调控网络的离散方法，布尔模型提供了基因和蛋白质之间相互作用结构的基本定性描述。布尔模型通常假设网络中的每个基因或蛋白质只有两种可能的状态（表达或不表达），以及各种调节过程之间的高度同步。本文讨论并比较了两种采用定性模型来纳入调节网络连续时间特性的可能方法。第一种方法包括在布尔模型中引入异步更新。第二种方法采用Glass引入的方法，得到一组连续描述网络中每个基因或蛋白质状态的分段线性微分方程。将这两种方法应用于果蝇片段极性基因网络的布尔模型。分析了模型的动力学，并提供了模型的基因模式预测的理论特征，作为各种过程的时间尺度的函数。
As a discrete approach to genetic regulatory networks, Boolean models provide an essential qualitative description of the structure of interactions among genes and proteins. Boolean models generally assume only two possible states (expressed or not expressed) for each gene or protein in the network, as well as a high level of synchronisation among the various regulatory processes. Two possible methods of adapting qualitative models to incorporate the continuous-time character of regulatory networks, are discussed and compared. The first method consists of introducing asynchronous updates in the Boolean model. In the second method, the approach introduced by Glass is adopted to obtain a set of piecewise linear differential equations that continuously describe the states of each gene or protein in the network. Both methods are applied to a Boolean model of the segment polarity gene network of Drosophila melanogaster. The dynamics of the model is analysed, and a theoretical characterisation of the model's gene pattern prediction is provided as a function of the timescales of the various processes.