Organizer(s):

Name:

Affiliation:

Country:

Beata Jackowska-Zduniak

Faculty of Applied Physics and Mathematics, Gdańsk University of Technology

Poland

Urszula Foryś

Institute of Applied Mathematics and Mechanics, Faculty of Mathematics, Informatics and Mechanics, University of Warsaw

Poland

 Introduction:  

Dynamical systems provide a powerful framework for understanding complex temporal behaviors in biological and medical processes. This session brings together recent advances in the modeling, analysing, and simulating systems arising in physiology, epidemiology, oncology, and population dynamics. By leveraging tools from nonlinear dynamics, bifurcation theory, and stability analysis, we aim to uncover mechanisms that govern pattern formation, disease progression, and treatment response. Presentations will explore continuous and discrete models, including delay differential equations, reaction-diffusion systems, and structured population models. Special emphasis will be placed on the interplay between mathematical theory and empirical data, with contributions demonstrating how rigorous analysis can inform clinical decisions or experimental design. Topics may include tumor-immune interactions, heart disease, viral dynamics, tissue engineering, neural activity, or ecological networks. This session provides a platform for interdisciplinary dialogue between mathematicians and life scientists, intending to foster new collaborations and methodologies. We encourage contributions that bridge scales—from molecular to population levels—or introduce innovative mathematical approaches to biological questions.