Mathematical Biology and Physiology
The activity of the group is devoted to the processing of signals or images extracted from biological and physiological systems and to the development of mathematical models for the interpretation of the recorded data. Useful signal processing techniques can be linear (e.g., Fourier analysis, wavelet transform) or non linear (e.g., embedding methods, artificial neural networks). The modelling tools include ordinary / partial differential equations and integral equations, usually written within the frameworks of kinetic theory, continuum mechanics, theoretical physics or dynamical systems theory.
Applications are mainly focused on the investigation of biological systems or on the development of new biomedical tools. Recent works concern the simulation of spiral waves using a model of electromechanical coupling in the heart, the investigation of the central venous pressure, the application of model order reduction techniques to large systems of ordinary differential equations describing chemical reactions, the deformation of single cells under the application of external forces, the study of assistive technologies for blinds.
Other studies are developed in collaboration with the Neuronica Laboratory of the Electronics Department and with the Physics Department of Politecnico. The topics are the development and evaluation of sensors, the application of time series analysis in weather or air pollution forecast and in food science and the mathematical modeling and investigation of electrolytic cells.