Marleen Balvert

A universal and structured way to derive dual optimization problem formulations

  • Marleen Balvert
  • Dick den Hertog
  • Bram L. Gorissen
  • Cornelis Roos
    • Categories Convex Optimization Tags , , , ,

    The dual problem of a convex optimization problem can be obtained in a relatively simple and structural way by using a well-known result in convex analysis, namely Fenchel’s duality theorem. This alternative way of forming a strong dual problem is the subject in this paper. We recall some standard results from convex analysis and then … Read more

    Robust optimization of dose-volume metrics for prostate HDR-brachytherapy incorporating target- and OAR volume delineation uncertainties

  • Marleen Balvert
  • Dick den Hertog
  • Aswin Hoffmann
    • Categories Biomedical Applications, Robust Optimization Tags , , , ,

    In radiation therapy planning, uncertainties in target volume definition yield a risk of underdosing the tumor. The classical way to prevent this in the context of external beam radiotherapy (EBRT) has been to expand the clinical target volume (CTV) with an isotropic margin to obtain the planning target volume (PTV). However, the EBRT-based PTV concept … Read more