TY - JOUR AU - Vághy, Mihály András AU - Otero-Muras, I AU - Pájaro, M AU - Szederkényi, Gábor TI - A Kinetic Finite Volume Discretization of the Multidimensional PIDE Model for Gene Regulatory Networks JF - BULLETIN OF MATHEMATICAL BIOLOGY J2 - B MATH BIOL VL - 86 PY - 2024 IS - 2 PG - 26 SN - 0092-8240 DO - 10.1007/s11538-023-01251-3 UR - https://m2.mtmt.hu/api/publication/34527228 ID - 34527228 N1 - Export Date: 5 February 2024 CODEN: BMTBA Correspondence Address: Vághy, M.A.; Faculty of Information Technology and Bionics, Práter u. 50/a, Hungary; email: vaghy.mihaly.andras@itk.ppke.hu AB - In this paper, a finite volume discretization scheme for partial integro-differential equations (PIDEs) describing the temporal evolution of protein distribution in gene regulatory networks is proposed. It is shown that the obtained set of ODEs can be formally represented as a compartmental kinetic system with a strongly connected reaction graph. This allows the application of the theory of nonnegative and compartmental systems for the qualitative analysis of the approximating dynamics. In this framework, it is straightforward to show the existence, uniqueness and stability of equilibria. Moreover, the computation of the stationary probability distribution can be traced back to the solution of linear equations. The discretization scheme is presented for one and multiple dimensional models separately. Illustrative computational examples show the precision of the approach, and good agreement with previous results in the literature. LA - English DB - MTMT ER - TY - JOUR AU - Diblík, J AU - Pituk, Mihály AU - Szederkényi, Gábor TI - Large time behavior of nonautonomous linear differential equations with Kirchhoff coefficients JF - AUTOMATICA J2 - AUTOMATICA VL - 161 PY - 2024 PG - 5 SN - 0005-1098 DO - 10.1016/j.automatica.2023.111473 UR - https://m2.mtmt.hu/api/publication/34463676 ID - 34463676 N1 - Brno University of Technology, Faculty of Civil Engineering, Veveří 331/95, Brno, 602 00, Czech Republic Department of Mathematics, University of Pannonia, Egyetem út 10, Veszprém, H-8200, Hungary HUN-REN-ELTE Numerical Analysis and Large Networks Research Group, Budapest, Hungary Faculty of Information Technology and Bionics, Pázmány Péter Catholic University, Práter 50/a, Budapest, H-1083, Hungary Systems and Control Laboratory, HUN-REN Institute for Computer Science and Control (SZTAKI), Kende u. 13-17, Budapest, H-1111, Hungary Export Date: 5 February 2024 CODEN: ATCAA Correspondence Address: Szederkényi, G.; Faculty of Information Technology and Bionics, Práter 50/a, Hungary; email: szederkenyi@itk.ppke.hu LA - English DB - MTMT ER - TY - JOUR AU - Pereira, M AU - Kulcsar, Balazs AU - Lipták, György AU - Kovács, Mihály AU - Szederkényi, Gábor TI - The Traffic Reaction Model: A kinetic compartmental approach to road traffic modeling JF - TRANSPORTATION RESEARCH PART C-EMERGING TECHNOLOGIES J2 - TRANSPORT RES C-EMER VL - 158 PY - 2024 PG - 13 SN - 0968-090X DO - 10.1016/j.trc.2023.104435 UR - https://m2.mtmt.hu/api/publication/34415352 ID - 34415352 N1 - Department of Electrical Engineering, Chalmers University of Technology, Gothenburg, Sweden Institute for Computer Science and Control (SZTAKI), Budapest, Hungary Faculty of Information Technology and Bionics, Pázmány Péter Catholic University, Budapest, Hungary Center for Geosciences and Geoengineering, Mines Paris - PSL University, Fontainebleau, France Export Date: 18 December 2023 Correspondence Address: Pereira, M.; Department of Electrical Engineering, Sweden; email: mike.pereira@minesparis.psl.eu LA - English DB - MTMT ER - TY - CONF AU - Reguly, István Zoltán AU - Keömley-Horváth, Bence AU - Szederkényi, Gábor AU - Csikász-Nagy, Attila TI - PanSim: A Performance-Portable Agent Based Model T2 - Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis, SC 2023 PY - 2023 SP - 1 PG - 1 UR - https://m2.mtmt.hu/api/publication/34681849 ID - 34681849 LA - English DB - MTMT ER - TY - CHAP AU - Csutak, Balázs AU - Szederkényi, Gábor TI - Reference Tracking Control of a Nonlinear Epidemiological Model with State Estimation T2 - 2023 9th International Conference on Control, Decision and Information Technologies (CoDIT) PB - IEEE CY - Piscataway (NJ) SN - 9798350311402 PY - 2023 SP - 2311 EP - 2316 PG - 6 DO - 10.1109/CoDIT58514.2023.10284317 UR - https://m2.mtmt.hu/api/publication/34244778 ID - 34244778 LA - English DB - MTMT ER - TY - CHAP AU - Csutak, Balázs AU - Jenei, K.M. AU - Szederkényi, Gábor ED - R, Paulen ED - M, Fikar TI - Linearization based robust reference tracking control of a compartmental epidemiological model T2 - 24th International Conference on Process Control, PC 2023 PB - IEEE CY - Piscataway (NJ) SN - 9798350347623 PY - 2023 SP - 66 EP - 71 PG - 6 DO - 10.1109/PC58330.2023.10217568 UR - https://m2.mtmt.hu/api/publication/34193722 ID - 34193722 N1 - Pázmány Péter Catholic University, Faculty of Information Technology and Bionics, Budapest, Hungary Pázmány Péter Catholic University, National Laboratory for Health Security, Budapest, Hungary Conference code: 191923 Export Date: 13 October 2023 Correspondence Address: Csutak, B.; Pázmány Péter Catholic University, Hungary; email: csutak.balazs@itk.ppke.hu LA - English DB - MTMT ER - TY - JOUR AU - Márton, Lőrinc AU - Szederkényi, Gábor AU - Hangos, Katalin TI - Modeling and control of networked kinetic systems with delayed interconnections JF - JOURNAL OF PROCESS CONTROL J2 - J PROCESS CONTR VL - 130 PY - 2023 PG - 14 SN - 0959-1524 DO - 10.1016/j.jprocont.2023.103084 UR - https://m2.mtmt.hu/api/publication/34167311 ID - 34167311 N1 - Department of Electrical Engineering, Sapientia Hungarian University of Transylvania, Tirgu Mures, Romania Systems and Control Laboratory, Institute for Computer Science and Control, Hungarian Academy of Sciences, Budapest, Hungary Faculty of Information Technology and Bionics, Pázmany Péter Catholic University, Budapest, Hungary Department of Electrical Engineering and Information Systems, University of Pannonia, Veszprém, Hungary Export Date: 10 October 2023 CODEN: JPCOE Correspondence Address: Márton, L.; Department of Electrical Engineering, Romania; email: martonl@ms.sapientia.ro LA - English DB - MTMT ER - TY - CHAP AU - Horváth, Gergely AU - Szederkényi, Gábor AU - Reguly, István Zoltán TI - Quantifying and comparing the impact of combinations of non-pharmaceutical interventions on the spread of COVID-19 T2 - 2023 31st Mediterranean Conference on Control and Automation (MED) PB - IEEE CY - Piscataway (NJ) SN - 9798350315431 PY - 2023 SP - 1010 EP - 1015 PG - 6 DO - 10.1109/MED59994.2023.10185817 UR - https://m2.mtmt.hu/api/publication/34148137 ID - 34148137 N1 - Conference code: 191013 Export Date: 20 September 2023 LA - English DB - MTMT ER - TY - JOUR AU - Vághy, Mihály András AU - Szederkényi, Gábor TI - Persistence and stability of generalized ribosome flow models with time-varying transition rates JF - PLOS ONE J2 - PLOS ONE VL - 18 PY - 2023 IS - 7 PG - 33 SN - 1932-6203 DO - 10.1371/journal.pone.0288148 UR - https://m2.mtmt.hu/api/publication/34063510 ID - 34063510 AB - In this paper some important qualitative dynamical properties of generalized ribosome flow models are studied. Ribosome flow models known from the literature are generalized by allowing an arbitrary directed network structure between compartments, and by assuming general time-varying rate functions corresponding to the transitions. Persistence of the dynamics is shown using the chemical reaction network (CRN) representation of the system where the state variables correspond to ribosome density and the amount of free space in the compartments. The L1 contractivity of solutions is also proved in the case of periodic reaction rates having the same period. Further we prove the stability of different compartmental structures including strongly connected ones with entropy-like logarithmic Lyapunov functions through embedding the model into a weakly reversible CRN with time-varying reaction rates in a reduced state space. Moreover, it is shown that different Lyapunov functions may be assigned to the same model depending on the non-unique factorization of the reaction rates. The results are illustrated through several examples with biological meaning including the classical ribosome flow model on a ring. LA - English DB - MTMT ER - TY - JOUR AU - Polcz, Péter AU - Tornai, Kálmán AU - Juhász, János AU - Cserey, György Gábor AU - Surján, György AU - Pándics, Tamás AU - Róka, Eszter AU - Vargha, Márta AU - Reguly, István Zoltán AU - Csikász-Nagy, Attila AU - Pongor, Sándor AU - Szederkényi, Gábor TI - Wastewater-based modeling, reconstruction, and prediction for COVID-19 outbreaks in Hungary caused by highly immune evasive variants JF - WATER RESEARCH J2 - WATER RES VL - 241 PY - 2023 PG - 18 SN - 0043-1354 DO - 10.1016/j.watres.2023.120098 UR - https://m2.mtmt.hu/api/publication/33864634 ID - 33864634 N1 - National Laboratory for Health Security, Faculty of Information Technology and Bionics, Pázmány Péter Catholic University, Práter utca 85, Budapest, H-1083, Hungary Department of Public Health Laboratory, National Public Health Centre, Albert Flórián út 2-6, Budapest, H-1097, Hungary Institute of Medical Microbiology, Semmelweis University, Üllői út 26, Budapest, H-1085, Hungary Department of Digital Health Sciences, Semmelweis University, Üllői út 26, Budapest, H-1085, Hungary Department of Public Health Sciences, Faculty of Health Sciences, Semmelweis University, Vas utca 17, Budapest, H-1088, Hungary Export Date: 28 July 2023 CODEN: WATRA Correspondence Address: Polcz, P.; National Laboratory for Health Security, Práter utca 85, Hungary; email: polcz.peter@itk.ppke.hu LA - English DB - MTMT ER -