dorsal/arxiv
View SchemaDynamical robustness of biological networks with hierarchical distribution of time scales
| Authors | A. N. Gorban, O. Radulescu |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0701020 |
| URL | https://arxiv.org/abs/q-bio/0701020 |
| DOI | 10.1049/iet-syb:20060083 |
| Journal | IET Syst. Biol., 2007, 1, (4), pp. 238--246 |
Abstract
We propose the concepts of distributed robustness and r-robustness, well adapted to functional genetics. Then we discuss the robustness of the relaxation time using a chemical reaction description of genetic and signalling networks. First, we obtain the following result for linear networks: for large multiscale systems with hierarchical distribution of time scales the variance of the inverse relaxation time (as well as the variance of the stationary rate) is much lower than the variance of the separate constants. Moreover, it can tend to 0 faster than 1/n, where n is the number of reactions. We argue that similar phenomena are valid in the nonlinear case as well. As a numerical illustration we use a model of signalling network that can be applied to important transcription factors such as NFkB.
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"abstract": "We propose the concepts of distributed robustness and r-robustness, well\nadapted to functional genetics. Then we discuss the robustness of the\nrelaxation time using a chemical reaction description of genetic and signalling\nnetworks. First, we obtain the following result for linear networks: for large\nmultiscale systems with hierarchical distribution of time scales the variance\nof the inverse relaxation time (as well as the variance of the stationary rate)\nis much lower than the variance of the separate constants. Moreover, it can\ntend to 0 faster than 1/n, where n is the number of reactions. We argue that\nsimilar phenomena are valid in the nonlinear case as well. As a numerical\nillustration we use a model of signalling network that can be applied to\nimportant transcription factors such as NFkB.",
"arxiv_id": "q-bio/0701020",
"authors": [
"A. N. Gorban",
"O. Radulescu"
],
"categories": [
"q-bio.MN"
],
"doi": "10.1049/iet-syb:20060083",
"journal_ref": "IET Syst. Biol., 2007, 1, (4), pp. 238--246",
"title": "Dynamical robustness of biological networks with hierarchical distribution of time scales",
"url": "https://arxiv.org/abs/q-bio/0701020"
},
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