Contacts
Intranet
SK
| Theoretical properties and applications of special families of probability distributions | |
| Teoretické vlastnosti a aplikácie špeciálnych tried rozdelení pravdepodobnosti | |
| Program: | VEGA |
| Project ID: | 2/0120/24 |
| Duration: | 1.1.2024 – 31.12.2027 |
| Project leader: | Doc. RNDr. Witkovský Viktor, CSc. |
| Annotation: | In the project, problems related to probability distributions and their applications in mathematical modeling will be studied. We will analyze some classes of distributions (distributions generated by partial summations, the Schröter family) and study properties of distributions belonging to these classes. Issues related to calibration regression models will be addressed. New methods for solving multivariate statistical problems will be developed. These methods will be based on the calculation of exact probability distributions using the inverse transformation of the characteristic function of the distribution of the output variable. Entropy, another property of probability distributions, plays an important role in detecting causality in time series. The primary area of application is theuse of the distribution of test statistics in hypothesis testing. The new results obtained during the solution of the project will also be applied to mathematical modeling in metrology, linguistics and actuarial mathematics. |
| Changes in fossil lizard communities at older and younger Cenozoic sites in and around Europe as a result of dramatic global climate change – the key to understanding our future is in the past | |
| Zmeny v spoločenstvách fosílnych jašterov na lokalitách staršieho a mladšieho kenozoika v Európe a okolí ako dôsledok dramatických globálnych klimatických zmien – kľúčom k budúcnosti je chápanie minulosti | |
| Program: | VEGA |
| Project ID: | VEGA 1/0160/24 |
| Duration: | 1.1.2024 – 31.12.2026 |
| Project leader: | RNDr. Hain Miroslav, PhD. |
| Annotation: | Terrestrial ecosystems in Europe, but practically everywhere, changed significantly during the Cenozoic due toglobal climatic changes. The importance of their better understanding is magnified by present global climatechange. In that respect, lizards are widely regarded as excellent indicators of past climates, particularly ambienttemperatures. The project is focused on the research of new, often complete finds from localities of different agessuch as the Paleocene site of Walbeck in Germany, the Lower Eocene sites of Dormaal in Belgium, Cos,Pasturat and Viélase in France. We also include new complete finds from the Middle Eocene German Messellocality (Unesco). Furthermore, fossils from the Oligocene and Lower Miocene sites of Phosphorites du Quercy(France), Miocene to Pliocene sites in Austria, Slovakia, Poland, Hungary, but also in Africa (Kenya) will bestudied. The aim is this research using CT is an interpretation of the phylogenetic relationships of studied taxaand changes in their communities. |
| Smart deep brain stimulation as a treatment strategy in treatment-resistant depression | |
| Inteligentná hĺbková mozgová stimulácia ako inovatívna stratégia pre liečbu mozgových porúch | |
| Program: | VEGA |
| Project ID: | VEGA 2/0057/22 |
| Duration: | 1.1.2022 – 31.12.2025 |
| Project leader: | Ing. Mgr. Rosipal Roman, DrSc. |
| Annotation: | Impaired connectivity between different brain areas underlines the pathophysiology of multiple brain disorders. It is possible that impaired connectivity between the prefrontal cortex and ventral pallidum is involved in depression. Smart deep brain simulation, combining real-time detection of the neuronal activity in the prefrontal cortex with the stimulation of the ventral tegmental area might be thus effective in depression. We aim to examine the cortico-tegmental connectivity and to test the antidepressant-like effectiveness of the smart deep brain stimulation in an animal model of depression. |
| Causal analysis of measured signals and time series | |
| Kauzálna analýza nameraných signálov a časových radov | |
| Program: | VEGA |
| Project ID: | VEGA 2/0023/22 |
| Duration: | 1.1.2022 – 31.12.2025 |
| Project leader: | RNDr. Krakovská Anna, CSc. |
| Annotation: | The project is focused on the causal analysis of measured time series and signals. It builds on the previous results of the team, concerning the generalization of the Granger test and the design of new tests in the reconstructed state spaces. The aim of the project is the development of new methods for bivariate and multidimensional causal analysis. We will see the investigated time series and signals as one-dimensional manifestations of complex systems or subsystems. We will also extend the detection of causality to multivariate cases – dynamic networks with nodes characterized by time series. Such complex networks are common in the real world. Biomedical applications are among the best known. Brain activity, determined by multichannel electroencephalographic signals, is a crucial example. We want to help show that causality research is currently at a stage that allows for ambitious goals in the study of effective connectivity (i.e., directed interactions, not structural or functional links) in the brain. |
| Research of properties of magnetic nanoparticles for imaging purposes in biomedical diagnostics based on magnetic resonance methods | |
| Výskum vlastností magnetických nanočastíc pre účely zobrazovania v biomedicínskej diagnostike na báze metód magnetickej rezonancie | |
| Program: | VEGA |
| Project ID: | VEGA 2/0004/23 |
| Duration: | 1.1.2023 – 31.12.2025 |
| Project leader: | Dr. Ing. Přibil Jiří, (PhD.) |
| Annotation: | The project focuses on experimental and theoretical research in the field of magnetic resonance imaging (MRI)methods. The following issues will be addressed in the project: 1. Research of properties of magneticnanoparticles in external magnetic fields regarding creation of a theoretical model and its subsequentexperimental verification. 2. Analysis of MRI scanning effect on cardiovascular system of a tested person in orderto find appropriate methods of detection, quantification, and design of measures to minimize them. 3. Analysis ofmetabolic processes in order to map the rate of energy production in the human heart and muscles in order todiagnose the slowing down of energy production in the heart. 4. Automated processing of MR images of thehuman knee in order to obtain quantitative characteristics and morphological quantities of individual tissues. 5.Calibration of gradient fields to ensure undistorted morphology in measured MR images. Mapping ofinhomogeneities into magn. fields using MRI methods |