{
  "abstract": "We study a minimal Go-or-Grow model for cell propagation driven by self-generated nutrient gradients, coupling diffusion, division, and directed migration through a discontinuous switching mechanism. We establish local well-posedness, characterize all positive bounded traveling waves, and derive an explicit minimal wave speed. Using neutral fractions, we show that minimal waves undergo a pulled-to-pushed transition as the migratory bias increases, while nonminimal waves remain pulled. Finally, we obtain a weak speed-selection result that singles out the minimal wave speed as the only possible limiting propagation speed.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2203.05204",
  "author_total": 1,
  "authors": [
    {
      "name": "Mete Demircigil"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/05hbpf1g8m5rz.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "05hbpf1g8m5rz",
  "issns": [],
  "landing_url": "https://hal.science/hal-03601815v2",
  "language": "en",
  "licence": "CC-BY-NC-4.0",
  "licence_label": "CC BY-NC 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by-nc/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "hal",
      "1.math.math-ap"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://hal.science/hal-03601815/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/05hbpf1g8m5rz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:21Z",
      "native_id": "hal-03601815",
      "source": "hal",
      "url": "https://hal.science/hal-03601815v2"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:1.math.math-ap",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "When Self-Generated Gradients meet Cell Division: Waves and Speed Selection in a Minimal Model",
  "title_text": "When Self-Generated Gradients meet Cell Division: Waves and Speed Selection in a Minimal Model",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:21Z",
  "url": "https://research.draconitic.com/paper/05hbpf1g8m5rz",
  "venue": "HAL",
  "versions": []
}