Thomas Bortfeld

Adjustable robust treatment-length optimization in radiation therapy

  • Ali Ajdari
  • Thomas Bortfeld
  • Dick den Hertog
  • Stefan ten Eikelder
    • Categories Biomedical Applications, Robust Optimization Tags , ,

    Traditionally, optimization of radiation therapy (RT) treatment plans has been done before the initiation of RT course, using population-wide estimates for patients’ response to therapy. However, recent technological advancements have enabled monitoring individual patient response during the RT course, in the form of biomarkers. Although biomarker data remains subject to substantial uncertainties, information extracted from … Read more

    A unified approach for inversion problems in intensity-modulated radiation therapy

  • Thomas Bortfeld
  • Yair Censor
  • Benjamin Martin
  • Alexei Trofimov
    • Categories Biomedical Applications, Nonlinear Optimization

    We propose and study a unified model for handling dose constraints (physical dose, equivalent uniform dose (EUD), etc.) and radiation source constraints in a single mathematical framework based on the split feasibility problem. The model does not impose on the constraints an exogenous objective (merit) function. The optimization algorithm minimizes a weighted proximity function that … Read more

    The multiple-sets split feasibility problem and its applications for inverse problems

  • Thomas Bortfeld
  • Yair Censor
  • Tommy Elfving
  • Nirit Kopf
    • Categories Applications - Science and Engineering, Biomedical Applications, Convex Optimization

    The multiple-sets split feasibility problem requires to find a point closest to a family of closed convex sets in one space such that its image under a linear transformation will be closest to another family of closed convex sets in the image space. It can be a model for many inverse problems where constraints are … Read more