Development of Efficient Control Strategies for Physiological Systems

Problem: Development of techniques for patient-individual control of standardized medical treatments, in particular hemodialysis. Goal is the prevention of acute complications which still occur in 25% of all cases. Method: Discretization of the control problem and development of a pseudodynamical gradient algorithm (PSEUDYGALG) for dynamical control of high-dimensional systems of coupled non-linear ordinary differential equations. Results: Special update techniques for the descent information have been invented which provide high efficiency of PSEUDYGALG. Dynamical weighting strategies render possible the treatment of objective functionals with partly conflicting goals. PSEUDYGALG is applicable for a wide range of open-loop problems, an extension towards closed-loop problems is possible.