{
  "annotation_id": "459c89c5-9ca3-4014-b98f-5a19057f08a6",
  "date_created": "2026-03-02T18:00:32.367000Z",
  "date_modified": "2026-03-02T18:00:32.367000Z",
  "file_hash": "93d6d418899d96fc3a60a679c90a980ae06430aeaea1e336bb6f659e8326de51",
  "private": false,
  "record": {
    "abstract": "The periodic swarming of bacteria is one of the simplest examples for pattern\nformation produced by the self-organized collective behavior of a large number\nof organisms. In the spectacular colonies of Proteus mirabilis (the most common\nspecies exhibiting this type of growth) a series of concentric rings are\ndeveloped as the bacteria multiply and swarm following a scenario periodically\nrepeating itself. We have developed a theoretical description for this process\nin order to get a deeper insight into some of the typical processes governing\nthe phenomena in systems of many interacting living units. All of our\ntheoretical results are in excellent quantitative agreement with the complete\nset of available observations.",
    "arxiv_id": "physics/0007087",
    "authors": [
      "Andras Czirok",
      "Mitsugu Matsushita",
      "Tamas Vicsek"
    ],
    "categories": [
      "physics.bio-ph",
      "q-bio"
    ],
    "doi": "10.1103/PhysRevE.63.031915",
    "journal_ref": "Phys. Rev. E 63, 031915 (2001).",
    "title": "Theory of periodic swarming of bacteria: application to Proteus   mirabilis",
    "url": "https://arxiv.org/abs/physics/0007087"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5aa75365-f613-48dc-b002-d78cfe5d0f08",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}