{
  "abstract": "Activated membrane receptors can be internalized into endosomes, where they keep signalling, possibly differently from the plasma membrane. We propose a piecewise deterministic Markov process (PDMP) in which receptor internalization and recycling are stochastic, each endosome is tracked individually, and the intracellular reaction networks, at the membrane and inside endosomes, evolve deterministically between jumps. We study the long-time behaviour of this process. We give sufficient conditions for the existence of a stationary measure, for a point to be a Doeblin point, which yields convergence in total variation, and for exponential weak convergence to a stationary measure, by adapting techniques from the theory of randomly switched ODEs. Several examples of biological interest illustrate the results.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "name": "Léo Darrigade"
    },
    {
      "name": "Chloé Weckel"
    },
    {
      "name": "Romain Yvinec"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/51kf80q1m4d4j.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "51kf80q1m4d4j",
  "issns": [],
  "landing_url": "https://inria.hal.science/hal-05794502v1",
  "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.math.math-pr"
    ],
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  "openalex": null,
  "pdf_url": "https://inria.hal.science/hal-05794502/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/51kf80q1m4d4j.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:54Z",
      "native_id": "hal-05794502",
      "source": "hal",
      "url": "https://inria.hal.science/hal-05794502v1"
    }
  ],
  "subjects": [
    {
      "field": "biology",
      "origin": "hal:1.sdv.bibs",
      "subfield": "bioinformatics"
    },
    {
      "field": "mathematics",
      "origin": "hal:1.math.math-pr",
      "subfield": "probability"
    }
  ],
  "title": "A stochastic model of compartmentalized intracellular signalling",
  "title_text": "A stochastic model of compartmentalized intracellular signalling",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:54Z",
  "url": "https://research.draconitic.com/paper/51kf80q1m4d4j",
  "venue": "HAL",
  "versions": []
}