dorsal/arxiv
View SchemaAttractors in continuous and Boolean networks
| Authors | Johannes Norrell, Björn Samuelsson, Joshua E. S. Socolar |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0701052 |
| URL | https://arxiv.org/abs/q-bio/0701052 |
| DOI | 10.1103/PhysRevE.76.046122 |
Abstract
We study the stable attractors of a class of continuous dynamical systems that may be idealized as networks of Boolean elements, with the goal of determining which Boolean attractors, if any, are good approximations of the attractors of generic continuous systems. We investigate the dynamics in simple rings and rings with one additional self-input. An analysis of switching characteristics and pulse propagation explains the relation between attractors of the continuous systems and their Boolean approximations. For simple rings, "reliable" Boolean attractors correspond to stable continuous attractors. For networks with more complex logic, the qualitative features of continuous attractors are influenced by inherently non-Boolean characteristics of switching events.
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"abstract": "We study the stable attractors of a class of continuous dynamical systems\nthat may be idealized as networks of Boolean elements, with the goal of\ndetermining which Boolean attractors, if any, are good approximations of the\nattractors of generic continuous systems. We investigate the dynamics in simple\nrings and rings with one additional self-input. An analysis of switching\ncharacteristics and pulse propagation explains the relation between attractors\nof the continuous systems and their Boolean approximations. For simple rings,\n\"reliable\" Boolean attractors correspond to stable continuous attractors. For\nnetworks with more complex logic, the qualitative features of continuous\nattractors are influenced by inherently non-Boolean characteristics of\nswitching events.",
"arxiv_id": "q-bio/0701052",
"authors": [
"Johannes Norrell",
"Bj\u00f6rn Samuelsson",
"Joshua E. S. Socolar"
],
"categories": [
"q-bio.MN"
],
"doi": "10.1103/PhysRevE.76.046122",
"title": "Attractors in continuous and Boolean networks",
"url": "https://arxiv.org/abs/q-bio/0701052"
},
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