Research groups

The research group of Biocybernetics of Physiological Processes applies interdisciplinary interconnection between modern methods of biosignal processing, mathematical modelling, control theory and their application in the field of biophysics and neuroscience. Complex physiological non-stationary data with a non-linear nature, for which traditional approaches to the data analysis remain inadequate in many ways, represent a carrier of fundamental, and often hidden information about the functioning of the organism.

The Bioprocess Control and Modelling research group is interested in the advanced control, monitoring and modelling of processes that use populations of living microorganisms to produce useful substances such as biopolymers or antibiotics. Methods for information mining, methods for extracting knowledge from different types of data and information, and methods for building models of bioprocesses, including physiological ones, are investigated.

Areas of research

• Stochastic (partial) differential equations
• Stochastic geometry and spatial statistics
• Metadynamics and molecular simulation
• Statistical data analysis support

The group focuses on molecular modelling and simulation of a variety of systems, from the chemically simplest systems such as water and aqueous solutions to important chemical processes in biological systems, including membranes and membrane proteins. We use a variety of computational methods, including classical mathematical modelling, quantum chemical calculations and molecular dynamics simulations.

The Applied Artificial Intelligence Lab is a multidisciplinary group that explores the possibilities of artificial intelligence in computer vision and signal processing. We are strongly interested in machine learning and its applications.

Areas of research

• adaptive novelty detection
• image processing and generation
• voice classification

Research involving dynamical systems has a long tradition in our faculty. The first seminar devoted to the systems of differential equations and general theory of dynamical systems was established already in 2002. Nowadays, we are investigating a large number of problems associated with dynamical systems, both at the theoretical and application levels.

Areas of research

The research group is primarily concerned with open problems in combinatorics, discrete mathematics and graph theory. In the last decades, graph theory has found many applications in various areas of human activity, from the design of network structures (electricity, water, social) to the allocation of mobile or broadcast frequencies to various kinds of optimization (in transportation, search, etc.).

The Digital Signal and Image Processing research group is dedicated to the interdisciplinary discipline of digital signal and image processing using modern methods of computer intelligence and remote data processing. Areas of expertise include mathematical modelling of signals, time series prediction and the use of functional transforms for the analysis of multidimensional and multichannel data. In application areas, the main focus is on biomedical signal and image processing, including three-dimensional modelling, early diagnosis and implementation of camera systems.

The Molecular Electronics and Smart Materials Laboratory research group is dedicated to the development of sustainable materials and devices. It focuses in particular on the synthesis of functional nanomaterials and nanostructures (e.g. conducting polymers, MXenes, graphene, magnetic nanoparticles, carbon fibres, cellulose fibres) and their composites (e.g. with polymer matrix or cellulose nanofibres).