{
  "abstract": "In this work, we present a fractional framework for reversible two-state chemical kinetics derived from the Continuous-Time Random Walk (CTRW) formalism with Mittag-Leffler waiting-time distributions. This derivation provides a microscopic basis for the fractional kinetic equations governed by the Caputo derivative. An exact analytical solution is obtained, yielding closed-form expressions for the time evolution of the state populations. To the best of our knowledge, a time-driven Monte Carlo algorithm is developed for the first time to simulate the irreversible underlying non-Markovian stochastic dynamics governed by a system of Caputo fractional differential equations. The proposed framework is applied to the conformational dynamics of the TbQSOX enzyme, whose relaxation exhibits power-law behavior. The fractional model accurately reproduces the experimental kinetics, providing an estimate of the fractional order $α= 0.22$, which is consistent with the observed anomalous dynamics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.33652",
  "author_total": 2,
  "authors": [
    {
      "name": "Nelson H. T. Lemes"
    },
    {
      "name": "Higor V. M. Ferreira"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dsfjnd2q6snzr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.33652",
  "fulltext_url": null,
  "id": "dsfjnd2q6snzr",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.33652",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "2611|Fractional Differential Equations Solutions"
    ]
  ],
  "openalex": "W7223878314",
  "pdf_url": "https://arxiv.org/pdf/2610.33652",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dsfjnd2q6snzr.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.33652",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.33652"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Fractional reversible chemical kinetics: Time-Driven Monte Carlo method and application to enzyme conformational dynamics",
  "title_text": "Fractional reversible chemical kinetics: Time-Driven Monte Carlo method and application to enzyme conformational dynamics",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/dsfjnd2q6snzr",
  "venue": "arXiv",
  "versions": []
}