{
  "id": "0812.0083",
  "version": "v1",
  "published": "2008-11-29T15:36:13.000Z",
  "updated": "2008-11-29T15:36:13.000Z",
  "title": "On convergence of the optimization process in Radiotherapy treatment planning",
  "authors": [
    "I. Hoveijn"
  ],
  "comment": "9 pages, 2 figures",
  "categories": [
    "math.CA",
    "math.OC",
    "physics.med-ph"
  ],
  "abstract": "The Radiotherapy treatment planning optimization process based on a quasi-Newton algorithm with an object function containing dose-volume constraints is not guaranteed to converge when the dose value in the dose-volume constraint is a critical value of the dose distribution. This is caused by finite differentiability of the dose-volume histogram at such values. A closer look near such values reveals that convergence is most likely not at stake, but it might be slowed down.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-11-29T15:36:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "convergence",
      "object function containing dose-volume constraints",
      "radiotherapy treatment planning optimization process"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.0083H"
    }
  }
}