Mathematics of cancer models
Mathematical models based on differential equations, individual-based or partial differential equations are built to describe different processes of relevance in cancer research. We study their theoretical properties (existence of traveling wave solutions, asymptotic behavior, etc.) to understand their potential utility and applicability to the description of the processes involved. We also use the models as in-silico test-bench systems mimicking real tumor behavior.
This research line is being carried out in collaboration with Marek Bodnar, Monika Piotrowska, Urszula Forys, from Warsaw University, Poland, Warsaw Biomat Team , and Mariusz Bodzioch, from University of Warmia and Mazury in Olsztyn, Poland. Milica Pešić (Head of the Department of Neurobiology, Institute for Biological Research “Siniša Stanković”, University of Belgrade, Serbia). François Vallette and Lisa Oliver (Centre de Recherche en Cancérologie et Immunologie Intégrée Nantes Angers, University of Nantes, France). Ángel Ayuso Sacido (Vithas Hospital and Universidad Francisco de Vitoria, Madrid, Spain).