{
  "annotation_id": "add1af4a-7350-4b91-900a-09ce497b9751",
  "date_created": "2026-03-02T18:01:35.705000Z",
  "date_modified": "2026-03-02T18:01:35.705000Z",
  "file_hash": "7af7ca3a7a43217dffb65881ab13dbbd2d42b0625c80077b3b0533db9527ba90",
  "private": false,
  "record": {
    "abstract": "We discuss several qualitative properties of the solutions of\nreaction-diffusion systems and equations of the form $u_t = \\epsilon^2 D \\Delta\nu + f(u,x,\\epsilon t)$, that are used in modeling pattern formation. We analyze\nthe diffusion neutral and the diffusion dependent situations that, in the time\nautonomous case, are distinguished by considering the attractors of the shorted\nequation $u_t = f(u,x)$. We discuss the consequences of being in one or in the\nother of the two situations and present examples from developmental biology and\nfrom fluid mechanics.",
    "arxiv_id": "q-bio/0603023",
    "authors": [
      "Ovidiu Radulescu",
      "Sergei Vakulenko"
    ],
    "categories": [
      "q-bio.MN"
    ],
    "title": "Diffusion and interfaces in pattern formation",
    "url": "https://arxiv.org/abs/q-bio/0603023"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "37ef671a-44ed-4901-9ddb-6127095632b9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}