{
  "abstract": "We propose a dissipative, irreversible damage model for anisotropic media in large deformations to address the damage process of the myocardium following a cardiac infarction. We model damage to the collagen in the cleavage planes resulting from an increased load to the passive tissue. Starting from variational principles, we derive a quasi-static differential model governing the irreversible evolution of the damage. We apply our model to two test cases. First, a rectangular passive slab geometry to which an indenter-like load is applied. Then, we couple our model with a model for the numerical simulation of left ventricular electromechanics. Our results show that a redistribution of the load within a left ventricle occurring following a cardiac infarction can produce the damage to the collagen scaffold in the infarcted area consistent with experimental results. This is indicative of the fact that passive load-dependent dissipative phenomena are implicated in post-infarction remodelling.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.15243",
  "author_total": 4,
  "authors": [
    {
      "name": "Irena Radišić"
    },
    {
      "name": "Francesco Regazzoni"
    },
    {
      "name": "Luca Dede'"
    },
    {
      "name": "Alfio Quarteroni"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2667th09ayckq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.15243",
  "fulltext_url": null,
  "id": "2667th09ayckq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.15243",
  "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",
      "cs.NA"
    ],
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      "arxiv",
      "math-ph"
    ],
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      "arxiv",
      "math.MP"
    ],
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      "arxiv",
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      "openalex",
      "2204|Elasticity and Material Modeling"
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  ],
  "openalex": "W7213272878",
  "pdf_url": "https://arxiv.org/pdf/2609.15243",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2667th09ayckq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:19Z",
      "native_id": "2609.15243",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.15243"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "A mathematical model for irreversible damage of the collagen scaffold in the myocardium",
  "title_text": "A mathematical model for irreversible damage of the collagen scaffold in the myocardium",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:27Z",
  "url": "https://research.draconitic.com/paper/2667th09ayckq",
  "venue": "arXiv",
  "versions": []
}