dorsal/arxiv
View SchemaError thresholds in a mutation-selection model with Hopfield-type fitness
| Authors | Tini Garske |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0505056 |
| URL | https://arxiv.org/abs/q-bio/0505056 |
Abstract
A deterministic mutation-selection model in the sequence space approach is investigated. Genotypes are identified with two-letter sequences. Mutation is modelled as a Markov process, fitness functions are of Hopfield type, where the fitness of a sequence is determined by the Hamming distances to a number of predefined patterns. Using a maximum principle for the population mean fitness in equilibrium, the error threshold phenomenon is studied for quadratic Hopfield-type fitness functions with small numbers of patterns. Different from previous investigations of the Hopfield model, the system shows error threshold behaviour not for all fitness functions, but only for certain parameter values.
{
"annotation_id": "42ac8c61-e64b-4ea2-84e6-a0a9ebccf53b",
"date_created": "2026-03-02T18:01:32.164000Z",
"date_modified": "2026-03-02T18:01:32.164000Z",
"file_hash": "5b6c49a97abebdf298f636610a8d1033d235ca84c24f1d9ffa886a8e0ec308c8",
"private": false,
"record": {
"abstract": "A deterministic mutation-selection model in the sequence space approach is\ninvestigated. Genotypes are identified with two-letter sequences. Mutation is\nmodelled as a Markov process, fitness functions are of Hopfield type, where the\nfitness of a sequence is determined by the Hamming distances to a number of\npredefined patterns. Using a maximum principle for the population mean fitness\nin equilibrium, the error threshold phenomenon is studied for quadratic\nHopfield-type fitness functions with small numbers of patterns. Different from\nprevious investigations of the Hopfield model, the system shows error threshold\nbehaviour not for all fitness functions, but only for certain parameter values.",
"arxiv_id": "q-bio/0505056",
"authors": [
"Tini Garske"
],
"categories": [
"q-bio.PE"
],
"title": "Error thresholds in a mutation-selection model with Hopfield-type fitness",
"url": "https://arxiv.org/abs/q-bio/0505056"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "459988ff-1a4a-4646-8d14-ed7d9bd84885",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}