{
  "annotation_id": "424b3c75-a7fb-4abf-947b-9e0de38a7d6f",
  "date_created": "2026-02-17T05:53:19.895000Z",
  "date_modified": "2026-02-17T05:53:19.895000Z",
  "file_hash": "6c6b8f7709cce0cc223e43c6a4d774da0916fa882188e30aa6b26007b6ea1b07",
  "private": false,
  "record": {
    "abstract": "In this paper we study the growth of a tumor colony of multilayer type and focus on how the tumor grows from a near flat (when compared to the length of the tumor as, for instance, in the case of a bone tumor in a femur) initial colony. In particular we derive and study a new weakly nonlinear asymptotic model of multilayer tumor growth. The model takes the form of a nonlinear and nonlocal high order system of PDEs. Finally, motivated by the possibility of a finite time collision of the interfaces, we study the well-posedness of this system.",
    "arxiv_id": "2601.09315",
    "authors": [
      "Rafael Granero-Belinch\u00f3n",
      "Martina Magliocca"
    ],
    "categories": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "A new asymptotic model of multilayer tumor growth",
    "url": "https://arxiv.org/abs/2601.09315",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0d0a4b3d-0245-4164-89e9-c371dc883ff9",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}