dorsal/arxiv
View SchemaError Propagation in the Hypercycle
| Authors | P. R. A. Campos, J. F. Fontanari, P. F. Stadler |
|---|---|
| Categories | |
| ArXiv ID | physics/9907049 |
| URL | https://arxiv.org/abs/physics/9907049 |
| DOI | 10.1103/PhysRevE.61.2996 |
| Journal | Phys. Rev. E 61: 2996-3002 (2000) |
Abstract
We study analytically the steady-state regime of a network of n error-prone self-replicating templates forming an asymmetric hypercycle and its error tail. We show that the existence of a master template with a higher non-catalyzed self-replicative productivity, a, than the error tail ensures the stability of chains in which m<n-1 templates coexist with the master species. The stability of these chains against the error tail is guaranteed for catalytic coupling strengths (K) of order of a. We find that the hypercycle becomes more stable than the chains only for K of order of a2. Furthermore, we show that the minimal replication accuracy per template needed to maintain the hypercycle, the so-called error threshold, vanishes like sqrt(n/K) for large K and n<=4.
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"abstract": "We study analytically the steady-state regime of a network of n error-prone\nself-replicating templates forming an asymmetric hypercycle and its error tail.\nWe show that the existence of a master template with a higher non-catalyzed\nself-replicative productivity, a, than the error tail ensures the stability of\nchains in which m\u003cn-1 templates coexist with the master species. The stability\nof these chains against the error tail is guaranteed for catalytic coupling\nstrengths (K) of order of a. We find that the hypercycle becomes more stable\nthan the chains only for K of order of a2. Furthermore, we show that the\nminimal replication accuracy per template needed to maintain the hypercycle,\nthe so-called error threshold, vanishes like sqrt(n/K) for large K and n\u003c=4.",
"arxiv_id": "physics/9907049",
"authors": [
"P. R. A. Campos",
"J. F. Fontanari",
"P. F. Stadler"
],
"categories": [
"physics.bio-ph",
"cond-mat",
"q-bio.MN"
],
"doi": "10.1103/PhysRevE.61.2996",
"journal_ref": "Phys. Rev. E 61: 2996-3002 (2000)",
"title": "Error Propagation in the Hypercycle",
"url": "https://arxiv.org/abs/physics/9907049"
},
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