My research aims to develop a rigorous mathematical theory that characterizes when, and in what sense, a parameter in a dynamical system legitimately functions as time. In most mathematical modeling, time is identified with the real line, but this identification is conceptually fragile: it encodes ordering but does not capture the structural features commonly associated with temporal passage. Many existing proposals intended to formalize the “flow” of time either introduce ontological tensions or ultimately re-import the same real-line framework, yielding limited theoretical gain. A central goal of my work is therefore to clarify the mathematical conditions under which temporal parametrization is justified.

In parallel, I conduct applied research in anticoagulation therapy for atrial fibrillation. My interest in this area is the mathematical modeling of patient-specific health trajectories, comparing clinical outcomes with and without anticoagulation, by representing individual sequences of health events and associated risks over time. I am a member of the MARKOV AF research group at the University of Turku, a multidisciplinary project focused on modeling clinical and subclinical atrial fibrillation related events to support improved understanding and decision-making in anticoagulation treatment.