{
  "abstract": "Blood vessels remodel in response to wall shear stress while the network operates under a metabolic maintenance budget. For a power-law maintenance cost, minimizing dissipation at fixed budget yields a local shear set-point, and a purely local adaptation rule drives the network towards this optimum. Here we give this result a non-equilibrium thermodynamic formulation. Blood flow is an exactly linear Onsager system, and the slow remodeling of vessel radii is a gradient flow generated by a Rayleigh dissipation functional. This identifies the structural mobility, which scales inversely with the maintenance cost of each vessel and can be measured from radius fluctuations. Enforcing the budget exactly requires a time-dependent metabolic multiplier, which we obtain in closed form; with a fixed multiplier the budget is violated by up to one third during transients. The fluid displaced by remodeling vessels couples flow and structure through a symmetric, non-diagonal mobility, so that Onsager reciprocity becomes a testable statement: neighbouring vessels should show anticorrelated radius fluctuations. With noise, the structural sector obeys a second law and an integral fluctuation theorem. Non-reciprocal signaling between vessels, such as upstream conducted responses, then breaks the time-reversal symmetry of radius fluctuations and produces housekeeping entropy, detectable from time series of realistic length. Finally, we construct a partition function over network topologies with the number of loops as order parameter. Numerical tests show that loop counts do not collapse onto a single curve against an effective temperature, and that they depend strongly on the detection threshold.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.33250",
  "author_total": 2,
  "authors": [
    {
      "name": "Enrique Hernández-Lemus"
    },
    {
      "name": "Daniel Pérez-Calixto"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dx4tnet2xj4xr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.33250",
  "fulltext_url": null,
  "id": "dx4tnet2xj4xr",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.33250",
  "language": null,
  "licence": "CC-BY-SA-4.0",
  "licence_label": "CC BY-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "physics.chem-ph"
    ],
    [
      "arxiv",
      "q-bio.TO"
    ],
    [
      "openalex",
      "3109|Advanced Thermodynamics and Statistical Mechanics"
    ]
  ],
  "openalex": "W7223844224",
  "pdf_url": "https://arxiv.org/pdf/2610.33250",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dx4tnet2xj4xr.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.33250",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.33250"
    }
  ],
  "subjects": [
    {
      "field": "chemistry",
      "origin": "arxiv:physics.chem-ph",
      "subfield": "physical"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "medicine",
      "origin": "arxiv:q-bio.TO",
      "subfield": "physiology"
    }
  ],
  "title": "A non-equilibrium thermodynamics formulation of shear set-points in adaptively remodeling vascular networks",
  "title_text": "A non-equilibrium thermodynamics formulation of shear set-points in adaptively remodeling vascular networks",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:44Z",
  "url": "https://research.draconitic.com/paper/dx4tnet2xj4xr",
  "venue": "arXiv",
  "versions": []
}