{
  "abstract": "This work proposes a new model for adhesive haptotaxis in cell migration, extending the work of [CSdNT + 26]. Following the experiments on lymphocytes at the Laboratory of Adhesion & Inflammation (LAI) in [LSdNA + 20], that revealed a non standard behavior known as reverse adhesive haptotaxis, we adapted a single-cell migration model originally proposed by I. Aronson and F. Ziebert [ZSA12, ZA13, LZA14], which accounts for the dynamics of adhesion site density. However, even if the model proposed in [CSdNT + 26] was able to reproduce the reverse adhesive haptotaxis with some specific feedback mechanism, the previous work showed some limitation. In this work to reproduce the complexity of such a non classical, and non well understood behavior, we describe the adhesion mechanism by modelling more directly the ligand/integrin interaction, allowing us to be closer to the previously mentionned experimental framework. We not only observe reverse and classical adhesive haptotaxis as previously reported in [CSdNT + 26], but also a new complex behavior that we call \"rebound\" which can cause the entrapment of cells in the low adhesive zone.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 6,
  "authors": [
    {
      "name": "Lucas Curci"
    },
    {
      "name": "Valentine Seveau de Noray"
    },
    {
      "name": "Olivier Theodoly"
    },
    {
      "name": "Marie-Pierre Valignat"
    },
    {
      "name": "Florence Hubert"
    },
    {
      "name": "Julien Olivier"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8nv9krhjtamta.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "8nv9krhjtamta",
  "issns": [],
  "landing_url": "https://hal.science/hal-05770039v1",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "hal",
      "0.sdv"
    ],
    [
      "hal",
      "1.sdv.bbm"
    ],
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  ],
  "openalex": null,
  "pdf_url": "https://hal.science/hal-05770039/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8nv9krhjtamta.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:43Z",
      "native_id": "hal-05770039",
      "source": "hal",
      "url": "https://hal.science/hal-05770039v1"
    }
  ],
  "subjects": [
    {
      "field": "biochemistry",
      "origin": "hal:2.sdv.bbm.bp",
      "subfield": "biophysics"
    },
    {
      "field": "biology",
      "origin": "hal:0.sdv",
      "subfield": "general"
    },
    {
      "field": "mathematics",
      "origin": "hal:0.math",
      "subfield": "general"
    }
  ],
  "title": "A Mathematical Model for Entrapment of Cells through Haptotaxis",
  "title_text": "A Mathematical Model for Entrapment of Cells through Haptotaxis",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:43Z",
  "url": "https://research.draconitic.com/paper/8nv9krhjtamta",
  "venue": "HAL",
  "versions": []
}