{
  "abstract": "For microorganisms with run-and-tumble motility, kinetic models provide a well-established description of transport in smoothly varying environments. Sharp signal changes, however, can induce asymmetric interface responses. A motivating example is the response to dark-light boundaries: cells moving into the light largely maintain their direction, whereas those entering the dark are effectively scattered back. Through an interface-layer analysis of pathway-based kinetic equations, we formally derive effective interface conditions for the limiting run-and-tumble model. These velocity-nonlocal conditions capture non-adiabatic scattering near signal discontinuities, linking intracellular sensory dynamics to transport across sharp environmental boundaries. For a two-velocity model, they reduce to an explicit transmission matrix. We assess the interface law numerically using biologically motivated parameters for E. coli chemotaxis.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.07409",
  "author_total": 4,
  "authors": [
    {
      "name": "Shicong Lei"
    },
    {
      "name": "Jiangyan Liang"
    },
    {
      "name": "Weiran Sun"
    },
    {
      "name": "Min Tang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dkyyrf1pq08gt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.07409",
  "fulltext_url": null,
  "id": "dkyyrf1pq08gt",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.07409",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.07409",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dkyyrf1pq08gt.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:34Z",
      "native_id": "2611.07409",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.07409"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "The interface scattering law for run-and-tumble kinetic models",
  "title_text": "The interface scattering law for run-and-tumble kinetic models",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:47Z",
  "url": "https://research.draconitic.com/paper/dkyyrf1pq08gt",
  "venue": "arXiv",
  "versions": []
}