dorsal/arxiv
View SchemaRobust gene regulation: Deterministic dynamics from asynchronous networks with delay
| Authors | Konstantin Klemm, Stefan Bornholdt |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0309013 |
| URL | https://arxiv.org/abs/q-bio/0309013 |
Abstract
We compare asynchronous vs. synchronous update of discrete dynamical networks and find that a simple time delay in the nodes may induce a reproducible deterministic dynamics even in the case of asynchronous update in random order. In particular we observe that the dynamics under synchronous parallel update can be reproduced accurately under random asynchronous serial update for a large class of networks. This mechanism points at a possible general principle of how computation in gene regulation networks can be kept in a quasi-deterministic ``clockwork mode'' in spite of the absence of a central clock. A delay similar to the one occurring in gene regulation causes synchronization in the model. Stability under asynchronous dynamics disfavors topologies containing loops, comparing well with the observed strong suppression of loops in biological regulatory networks.
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"abstract": "We compare asynchronous vs. synchronous update of discrete dynamical networks\nand find that a simple time delay in the nodes may induce a reproducible\ndeterministic dynamics even in the case of asynchronous update in random order.\nIn particular we observe that the dynamics under synchronous parallel update\ncan be reproduced accurately under random asynchronous serial update for a\nlarge class of networks. This mechanism points at a possible general principle\nof how computation in gene regulation networks can be kept in a\nquasi-deterministic ``clockwork mode\u0027\u0027 in spite of the absence of a central\nclock. A delay similar to the one occurring in gene regulation causes\nsynchronization in the model. Stability under asynchronous dynamics disfavors\ntopologies containing loops, comparing well with the observed strong\nsuppression of loops in biological regulatory networks.",
"arxiv_id": "q-bio/0309013",
"authors": [
"Konstantin Klemm",
"Stefan Bornholdt"
],
"categories": [
"q-bio.MN",
"cond-mat.dis-nn"
],
"title": "Robust gene regulation: Deterministic dynamics from asynchronous networks with delay",
"url": "https://arxiv.org/abs/q-bio/0309013"
},
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"source": {
"execution_id": "191522fc-d0da-42f7-8192-7c25d5b236a1",
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