{
  "id": "1902.01502",
  "version": "v1",
  "published": "2019-02-05T00:33:04.000Z",
  "updated": "2019-02-05T00:33:04.000Z",
  "title": "An analysis of a mathematical model describing the growth of a tumor treated with chemotherapy",
  "authors": [
    "Anderson L. A. de Araujo",
    "Artur C. Fassoni",
    "Luís F. Salvino"
  ],
  "comment": "22 pages",
  "categories": [
    "math.AP",
    "math.NA"
  ],
  "abstract": "We present a mathematical analysis of a mixed ODE-PDE model describing the spatial distribution and temporal evolution of tumor and normal cells within a tissue subject to the effects of a chemotherapeutic drug. The model assumes that the influx of chemotherapy is restricted to a limited region of the tissue, mimicking a blood vessel passing transversely. We provide results on the existence and uniqueness of the model solution and numerical simulations illustrating different model behaviors.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-05T00:33:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mathematical model",
      "chemotherapy",
      "spatial distribution",
      "model behaviors",
      "normal cells"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}