{
  "abstract": "We study a nonlinear multilocus mutation--selection--repair system for an asexual population maintained at exact homeostasis by state-dependent reproductive feedback. Each of $n$ identical biallelic damage loci mutates with probability $U$ at reproduction and is repaired at rate $\\nu$, with per-locus reproduction and mortality factors $\\zeta_\\rho<1$ and $\\zeta_\\gamma>1$. Permutation symmetry and feedback through damage-class frequencies reduce the $2^n$-state dynamics exactly to an $(n+1)$-class ODE system on a forward-invariant simplex. Without repair, the nonlinear equilibrium is obtained in closed form throughout the branch on which the undamaged class persists. The microstate distribution factorizes as a Bernoulli product measure, the damage number is binomially distributed, and the branch terminates at $U_c=1-\\zeta_\\rho/\\zeta_\\gamma$, independently of $n$. Under $n\\to\\infty$, $U\\to0$, and $nU\\to\\Theta$, the damage number converges to a Poisson distribution with mean $\\Theta/(\\zeta_\\gamma-\\zeta_\\rho)$. With repair, we prove existence and local asymptotic stability of an analytic rare-mutation equilibrium branch and derive a recursion for the factor $E_k$ suppressing the leading mutation load of class $k$. Its source weights follow a conditional $\\mathrm{Binomial}(k,\\zeta_\\rho/\\zeta_\\gamma)$ law independent of $n$ for every $n\\ge k$. The resulting suppression lies between the product $\\prod_{j=1}^k S_j$, corresponding to sequential accumulation through every intermediate repair filter, and the terminal filter $S_k$ alone, corresponding to direct multilocus jumps that bypass them, where $S_j=\\lambda_j/(\\lambda_j+j\\nu)$ quantifies the balance between effective demographic depletion and repair. Repair also generates positive leading-order association among loci, breaking the no-repair product structure. Numerical integration of the full nonlinear system confirms the asymptotic predictions.",
  "abstract_shown": true,
  "affiliations": [
    "University of Utah"
  ],
  "article_type": "New results",
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "B. Hardisty"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cgvdmr5p9dat7.bib",
  "cited_by": 0,
  "doi": "10.64898/2026.10.11.758278",
  "fulltext_url": "https://www.biorxiv.org/content/10.64898/2026.10.11.758278v1.full",
  "id": "cgvdmr5p9dat7",
  "issns": [],
  "landing_url": "https://www.biorxiv.org/content/10.64898/2026.10.11.758278v1",
  "language": null,
  "licence": "CC-BY-NC",
  "licence_label": "CC BY-NC",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by-nc/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "biorxiv",
      "evolutionary biology"
    ],
    [
      "openalex",
      "1311|Evolution and Genetic Dynamics"
    ]
  ],
  "openalex": "W7222734544",
  "pdf_url": "https://www.biorxiv.org/content/10.64898/2026.10.11.758278v1.full.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-11",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cgvdmr5p9dat7.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:14Z",
      "native_id": "10.64898/2026.10.11.758278",
      "source": "biorxiv",
      "url": "https://www.biorxiv.org/content/10.64898/2026.10.11.758278v1"
    }
  ],
  "subjects": [
    {
      "field": "biology",
      "origin": "biorxiv:evolutionary biology",
      "subfield": "evolutionary-biology"
    }
  ],
  "title": "Repair-Mediated Path Filtering of Mutation Load in Multilocus Homeostatic Populations",
  "title_text": "Repair-Mediated Path Filtering of Mutation Load in Multilocus Homeostatic Populations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:14Z",
  "url": "https://research.draconitic.com/paper/cgvdmr5p9dat7",
  "venue": "bioRxiv",
  "versions": []
}