dorsal/arxiv
View SchemaMethods of robustness analysis for Boolean models of gene control networks
| Authors | Madalena Chaves, Eduardo D. Sontag, Reka Albert |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0605004 |
| URL | https://arxiv.org/abs/q-bio/0605004 |
Abstract
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 synchronization among the various regulatory processes. In this paper, we discuss and compare two possible methods of adapting qualitative models to incorporate the continuous-time character of regulatory networks. The first method consists of introducing asynchronous updates in the Boolean model. In the second method, we adopt the approach introduced by L. Glass to obtain a set of piecewise linear differential equations which continuously describe the states of each gene or protein in the network. We apply both methods to a particular example: a Boolean model of the segment polarity gene network of Drosophila melanogaster. We analyze the dynamics of the model, and provide a theoretical characterization of the model's gene pattern prediction as a function of the timescales of the various processes.
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"abstract": "As a discrete approach to genetic regulatory networks, Boolean models provide\nan essential qualitative description of the structure of interactions among\ngenes and proteins. Boolean models generally assume only two possible states\n(expressed or not expressed) for each gene or protein in the network as well as\na high level of synchronization among the various regulatory processes. In this\npaper, we discuss and compare two possible methods of adapting qualitative\nmodels to incorporate the continuous-time character of regulatory networks. The\nfirst method consists of introducing asynchronous updates in the Boolean model.\nIn the second method, we adopt the approach introduced by L. Glass to obtain a\nset of piecewise linear differential equations which continuously describe the\nstates of each gene or protein in the network. We apply both methods to a\nparticular example: a Boolean model of the segment polarity gene network of\nDrosophila melanogaster. We analyze the dynamics of the model, and provide a\ntheoretical characterization of the model\u0027s gene pattern prediction as a\nfunction of the timescales of the various processes.",
"arxiv_id": "q-bio/0605004",
"authors": [
"Madalena Chaves",
"Eduardo D. Sontag",
"Reka Albert"
],
"categories": [
"q-bio.MN",
"q-bio.QM"
],
"title": "Methods of robustness analysis for Boolean models of gene control networks",
"url": "https://arxiv.org/abs/q-bio/0605004"
},
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