dorsal/arxiv
View SchemaCanalization and Symmetry in Boolean Models for Genetic Regulatory Networks
| Authors | C. J. Olson Reichhardt, Kevin E. Bassler |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0610011 |
| URL | https://arxiv.org/abs/q-bio/0610011 |
| DOI | 10.1088/1751-8113/40/16/006 |
| Journal | J. Phys. A: Math. Theor. 40, 4339 (2007) |
Abstract
Canalization of genetic regulatory networks has been argued to be favored by evolutionary processes due to the stability that it can confer to phenotype expression. We explore whether a significant amount of canalization and partial canalization can arise in purely random networks in the absence of evolutionary pressures. We use a mapping of the Boolean functions in the Kauffman N-K model for genetic regulatory networks onto a k-dimensional Ising hypercube to show that the functions can be divided into different classes strictly due to geometrical constraints. The classes can be counted and their properties determined using results from group theory and isomer chemistry. We demonstrate that partially canalized functions completely dominate all possible Boolean functions, particularly for higher k. This indicates that partial canalization is extremely common, even in randomly chosen networks, and has implications for how much information can be obtained in experiments on native state genetic regulatory networks.
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"abstract": "Canalization of genetic regulatory networks has been argued to be favored by\nevolutionary processes due to the stability that it can confer to phenotype\nexpression. We explore whether a significant amount of canalization and partial\ncanalization can arise in purely random networks in the absence of evolutionary\npressures. We use a mapping of the Boolean functions in the Kauffman N-K model\nfor genetic regulatory networks onto a k-dimensional Ising hypercube to show\nthat the functions can be divided into different classes strictly due to\ngeometrical constraints. The classes can be counted and their properties\ndetermined using results from group theory and isomer chemistry. We demonstrate\nthat partially canalized functions completely dominate all possible Boolean\nfunctions, particularly for higher k. This indicates that partial canalization\nis extremely common, even in randomly chosen networks, and has implications for\nhow much information can be obtained in experiments on native state genetic\nregulatory networks.",
"arxiv_id": "q-bio/0610011",
"authors": [
"C. J. Olson Reichhardt",
"Kevin E. Bassler"
],
"categories": [
"q-bio.QM",
"cond-mat.stat-mech"
],
"doi": "10.1088/1751-8113/40/16/006",
"journal_ref": "J. Phys. A: Math. Theor. 40, 4339 (2007)",
"title": "Canalization and Symmetry in Boolean Models for Genetic Regulatory Networks",
"url": "https://arxiv.org/abs/q-bio/0610011"
},
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