{
  "abstract": "Continuum descriptions of epithelial tissue mechanics can replace expensive individual-based simulations with tractable macroscopic models, yet the link between cell-scale forces and tissue-scale transport remains poorly understood. We show that dimensionality controls this link: long-time mechanical relaxation rates reveal generalized porous-media-type nonlinear transport phenomena, $D(ρ)\\proptoρ^γ$. Exponents in nonlinear diffusivities are fixed by microscopic mechanics and dimensionality, providing a novel physical mechanism for emergent macroscopic transport phenomena.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.07000",
  "author_total": 2,
  "authors": [
    {
      "name": "Matthew J Simpson"
    },
    {
      "name": "Pascal R Buenzli"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/607ep437xqecd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.07000",
  "fulltext_url": null,
  "id": "607ep437xqecd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.07000",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "nlin.CG"
    ],
    [
      "arxiv",
      "physics.bio-ph"
    ],
    [
      "arxiv",
      "physics.comp-ph"
    ],
    [
      "arxiv",
      "q-bio.TO"
    ],
    [
      "openalex",
      "1307|Cellular Mechanics and Interactions"
    ]
  ],
  "openalex": "W7167799134",
  "pdf_url": "https://arxiv.org/pdf/2607.07000",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/607ep437xqecd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:19Z",
      "native_id": "2607.07000",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.07000"
    }
  ],
  "subjects": [
    {
      "field": "medicine",
      "origin": "arxiv:q-bio.TO",
      "subfield": "physiology"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.bio-ph",
      "subfield": "biological-medical"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.comp-ph",
      "subfield": "computational"
    },
    {
      "field": "physics",
      "origin": "arxiv:nlin.CG",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Dimension-dependent continuum limits in tissue mechanics",
  "title_text": "Dimension-dependent continuum limits in tissue mechanics",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:28Z",
  "url": "https://research.draconitic.com/paper/607ep437xqecd",
  "venue": "arXiv",
  "versions": []
}