Limit Cycle Analysis of Guideline-based treated Graves’ Disease Patients

A brief review of existing medical dosage guidelines for Graves’ disease is conducted. This motivates to derive a recommendation strategy and a performance assessment via limit cycle stability analysis. For this purpose, an existing mathematical treatment model is simplified by incorporating medical aspects. From an application point of view, this is related to suboptimal treatments which can be approximated by a proportional controller in combination with a time-discretization of the closed-loop model for incorporating the effect of regular appointments with a physician. The presented results highlight critical aspects to be considered during treatment.