{
  "abstract": "Cells use ATP-driven chaperones to extract clients from biomolecular condensates selectively, yet no closed-form criterion links molecular parameters to condensate quality control. We derive a minimal non-equilibrium sorting reactor model that reduces the reaction-diffusion dynamics to one algebraic equation. In the idealized low-load limit, a concentration-dependent partition coefficient produces a saddle-node bifurcation between functional clearance and pathological storage. The critical Damk\\\"ohler number is \\(\\mathrm{Da}_{0c}=e^{-2}\\) and is independent of the feedback strength. Corrections shift the value but preserve the topology. The model predicts a Kramers-type functional lifetime and recovery costs that scale as \\(R^3\\). Critical slowing down near the bifurcation provides early-warning signatures for FCS and FRAP.",
  "abstract_shown": true,
  "affiliations": [
    "Sichuan Agricultural University"
  ],
  "article_type": "New results",
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "name": "W. Chen"
    },
    {
      "name": "S. Pei"
    },
    {
      "affs": [
        0
      ],
      "name": "G. Yu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/evnfe4vy7zq82.bib",
  "cited_by": 0,
  "doi": "10.64898/2026.09.28.754880",
  "fulltext_url": "https://www.biorxiv.org/content/10.64898/2026.09.28.754880v1.full",
  "id": "evnfe4vy7zq82",
  "issns": [],
  "landing_url": "https://www.biorxiv.org/content/10.64898/2026.09.28.754880v1",
  "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",
      "biophysics"
    ],
    [
      "openalex",
      "1312|Heat shock proteins research"
    ]
  ],
  "openalex": "W7215848907",
  "pdf_url": "https://www.biorxiv.org/content/10.64898/2026.09.28.754880v1.full.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/evnfe4vy7zq82.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:52Z",
      "native_id": "10.64898/2026.09.28.754880",
      "source": "biorxiv",
      "url": "https://www.biorxiv.org/content/10.64898/2026.09.28.754880v1"
    }
  ],
  "subjects": [
    {
      "field": "biochemistry",
      "origin": "biorxiv:biophysics",
      "subfield": "biophysics"
    }
  ],
  "title": "e^-2 Threshold for Bistability in Non-equilibrium Sorting of Biomolecular Condensates",
  "title_text": "e^-2 Threshold for Bistability in Non-equilibrium Sorting of Biomolecular Condensates",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:52Z",
  "url": "https://research.draconitic.com/paper/evnfe4vy7zq82",
  "venue": "bioRxiv",
  "versions": []
}