dorsal/arxiv
View SchemaBack-stepping, hidden substeps, and conditional dwell times in molecular motors
| Authors | Denis Tsygankov, Martin Lindén, Michael E. Fisher |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0611051 |
| URL | https://arxiv.org/abs/q-bio/0611051 |
| DOI | 10.1103/PhysRevE.75.021909 |
| Journal | Phys. Rev. E 75, 021909 (2007) Feb 20 |
Abstract
Processive molecular motors take more-or-less uniformly sized steps, along spatially periodic tracks, mostly forwards but increasingly backwards under loads. Experimentally, the major steps can be resolved clearly within the noise but one knows biochemically that one or more mechanochemical substeps remain hidden in each enzymatic cycle. In order to properly interpret experimental data for back/forward step ratios, mean conditional step-to-step dwell times, etc., a first-passage analysis has been developed that takes account of hidden substeps in $N$-state sequential models. The explicit, general results differ significantly from previous treatments that identify the observed steps with complete mechanochemical cycles; e.g., the mean dwell times $\tau_+$ and $\tau_-$ prior to forward and back steps, respectively, are normally {\it unequal} although the dwell times $\tau_{++}$ and $\tau_{--}$ between {\it successive} forward and back steps are equal. Illustrative (N=2)-state examples display a wide range of behavior. The formulation extends to the case of two or more detectable transitions in a multistate cycle with hidden substeps.
{
"annotation_id": "1a8e85c1-20fd-47e4-becb-8bcc0ae5e8cb",
"date_created": "2026-03-02T18:01:35.550000Z",
"date_modified": "2026-03-02T18:01:35.550000Z",
"file_hash": "f66a9195fce6e9c40a14bd1f290299605c95156c0b482c3ebe0c7bc51adb8ca9",
"private": false,
"record": {
"abstract": "Processive molecular motors take more-or-less uniformly sized steps, along\nspatially periodic tracks, mostly forwards but increasingly backwards under\nloads. Experimentally, the major steps can be resolved clearly within the noise\nbut one knows biochemically that one or more mechanochemical substeps remain\nhidden in each enzymatic cycle. In order to properly interpret experimental\ndata for back/forward step ratios, mean conditional step-to-step dwell times,\netc., a first-passage analysis has been developed that takes account of hidden\nsubsteps in $N$-state sequential models. The explicit, general results differ\nsignificantly from previous treatments that identify the observed steps with\ncomplete mechanochemical cycles; e.g., the mean dwell times $\\tau_+$ and\n$\\tau_-$ prior to forward and back steps, respectively, are normally {\\it\nunequal} although the dwell times $\\tau_{++}$ and $\\tau_{--}$ between {\\it\nsuccessive} forward and back steps are equal. Illustrative (N=2)-state examples\ndisplay a wide range of behavior. The formulation extends to the case of two or\nmore detectable transitions in a multistate cycle with hidden substeps.",
"arxiv_id": "q-bio/0611051",
"authors": [
"Denis Tsygankov",
"Martin Lind\u00e9n",
"Michael E. Fisher"
],
"categories": [
"q-bio.BM"
],
"doi": "10.1103/PhysRevE.75.021909",
"journal_ref": "Phys. Rev. E 75, 021909 (2007) Feb 20",
"title": "Back-stepping, hidden substeps, and conditional dwell times in molecular motors",
"url": "https://arxiv.org/abs/q-bio/0611051"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "93e817bd-e871-4ddc-a8a7-5bead3e5315d",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}