TY - JOUR AU - De Gaetano, Andrea AU - Nagy, Ilona AU - Kiss, Dániel AU - Romanovski, Valery G. AU - Hardy, Thomas A. TI - A simplified longitudinal model for the development of Type 2 Diabetes Mellitus JF - JOURNAL OF THEORETICAL BIOLOGY J2 - J THEOR BIOL VL - 587 PY - 2024 PG - 17 SN - 0022-5193 DO - 10.1016/j.jtbi.2024.111822 UR - https://m2.mtmt.hu/api/publication/34791484 ID - 34791484 LA - English DB - MTMT ER - TY - JOUR AU - Drexler, Dániel András AU - Nagy, Ilona AU - Romanovski, V.G. TI - Stability analysis of the singular points and Hopf bifurcations of a tumor growth control model JF - MATHEMATICAL METHODS IN THE APPLIED SCIENCES J2 - MATH METHOD APPL SCI VL - 47 PY - 2024 IS - 7 SP - 5677 EP - 5691 PG - 15 SN - 0170-4214 DO - 10.1002/mma.9885 UR - https://m2.mtmt.hu/api/publication/34533657 ID - 34533657 N1 - Physiological Controls Research Center, Óbuda University, Budapest, Hungary Department of Analysis and Operations Research, Institute of Mathematics, Budapest University of Technology and Economics, Budapest, Hungary Faculty of Electrical Engineering and Computer Science, University of Maribor, Maribor, Slovenia Center for Applied Mathematics and Theoretical Physics, University of Maribor, Maribor, Slovenia Faculty of Natural Science and Mathematics, University of Maribor, Maribor, Slovenia Export Date: 26 January 2024 CODEN: MMSCD Correspondence Address: Nagy, I.; Department of Analysis and Operations Research, Műegyetem rkp. 3., Hungary; email: nagyi@math.bme.hu Funding details: Javna Agencija za Raziskovalno Dejavnost RS, ARRS, AP09260317, BI‐HU/19‐20‐002, P1‐0306 Funding details: Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, NKFI Funding details: Al-Farabi Kazakh National University, KNU Funding text 1: Project No. 2019‐1.3.1‐KK‐2019‐00007 has been implemented with the support provided from the National Research, Development and Innovation Fund of Hungary, financed under the 2019‐1.3.1‐KK funding scheme. This research was supported partially by Horizon2020‐2017‐RISE‐777911 project. This project has been supported by the Hungarian National Research, Development and Innovation Fund of Hungary, financed under the TKP2021‐NKTA‐36 funding scheme. The work of Dr. Dániel András Drexler was supported by the Starting Excellence Researcher Program of Óbuda University, Budapest, Hungary. Valery G. Romanovski acknowledges the support by the Slovenian Research Agency (program P1‐0306 and project BI‐HU/19‐20‐002) and Grant AP09260317 “Development of an intelligent system for assessing the development of COVID‐19 epidemics and other infections in Kazakhstan” of Al‐Farabi Kazakh National University. AB - We carry out qualitative analysis of a fourth-order tumor growth control model using ordinary differential equations. We show that the system has one positive equilibrium point, and its stability is independent of the feedback gain. Using a Lyapunov function method, we prove that there exist realistic parameter values for which the systems admit limit cycle oscillations due to a supercritical Hopf bifurcation. The time evolution of the state variables is also represented. © 2024 The Authors. Mathematical Methods in the Applied Sciences published by John Wiley & Sons Ltd. LA - English DB - MTMT ER - TY - CHAP AU - Drexler, Dániel András AU - Nagy, Ilona AU - Romanovski, Valery ED - Szakál, Anikó TI - Bifurcations in a closed-loop model of tumor growth control T2 - 21th IEEE International Symposium on Computational Intelligence and Informatics (CINTI 2021) PB - IEEE CY - Piscataway (NJ) SN - 9781665426848 PY - 2021 SP - 37 EP - 42 PG - 6 DO - 10.1109/CINTI53070.2021.9668407 UR - https://m2.mtmt.hu/api/publication/32596350 ID - 32596350 N1 - Conference code: 176336 Export Date: 8 July 2022 Funding details: European Research Council, ERC Funding details: Javna Agencija za Raziskovalno Dejavnost RS, ARRS, BI-HU/19-20-002, P1-0306 Funding details: Horizon 2020, 2019-1.3.1-KK-2019-00007, 679681, ELKH KÖ-40/2020 Funding details: Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, NKFIH, 2018-2.1.11-TÉT-SI-2018-00007, SNN 125739 Funding text 1: This project has received funding from the European Research Council (ERC) under the European Unions Horizon 2020 research and innovation programme (grant agreement No 679681). Project no. 2019-1.3.1-KK-2019-00007. has been implemented with the support provided by the National Research, Development, and Innovation Fund of Hungary, financed under the 2019-1.3.1-KK funding scheme. D. A. Drexler was also supported by the Eötvös Loránd Research Network Secretariat under grant agreement no. ELKH KÖ-40/2020 (‘Development of cyber-medical systems based on AI and hybrid cloud methods’). The present work has also been supported by the Hungarian National Research, Development and Innovation Office (2018-2.1.11-TÉT-SI-2018-00007 and SNN 125739). Valery Romanovski acknowledges the support by the Slovenian Research Agency (program P1-0306 and project BI-HU/19-20-002). AB - Model-based therapy generation can open new horizons in medicine. Cancer chemotherapy can be optimized using control theoretic methods based on mathematical models of tumor growth. We carry out the qualitative analysis of such a model using the simplest control scheme, i.e., P type control. We look for bifurcations for realistic values of tumor parameters. We show that it is possible to have bifurcations in the closed-loop system, and the qualitative behaviour depends on the initial conditions, and it is independent of the control gain. The analysis shows that the system has rich dynamics and the model can be used to reproduce complex phenomena occurring during real therapies LA - English DB - MTMT ER - TY - THES AU - Nagy, Ilona TI - Qualitative investigations of kinetic differential equations PB - Budapesti Műszaki és Gazdaságtudományi Egyetem PY - 2021 SP - 93 UR - https://m2.mtmt.hu/api/publication/32499363 ID - 32499363 LA - English DB - MTMT ER - TY - JOUR AU - Nagy, Ilona AU - Romanovski, Valery G. AU - Tóth, János TI - Two Nested Limit Cycles in Two-Species Reactions JF - MATHEMATICS J2 - MATHEMATICS-BASEL VL - 8 PY - 2020 IS - 10 SN - 2227-7390 DO - 10.3390/math8101658 UR - https://m2.mtmt.hu/api/publication/31641309 ID - 31641309 N1 - Department of Mathematical Analysis, Budapest University of Technology and Economics, Egry J. u. 1., Budapest, H-1111, Hungary Center for Applied Mathematics and Theoretical Physics, Maribor, SI-2000, Slovenia Faculty of Electrical Engineering and Computer Science, University of Maribor, Maribor, SI-2000, Slovenia Faculty of Natural Science and Mathematics, University of Maribor, Maribor, SI-2000, Slovenia Laboratory for Chemical Kinetics, Eötvös Loránd University, Pázmány P. sétány 1/A, Budapest, H-1117, Hungary Cited By :2 Export Date: 1 March 2023 Correspondence Address: Nagy, I.; Department of Mathematical Analysis, Egry J. u. 1., Hungary; email: nagyi@math.bme.hu LA - English DB - MTMT ER - TY - JOUR AU - Lángné, Lázi Márta AU - Gergi, Miklós AU - Kiss, Sándor AU - Molnár, Zoltán Gábor AU - Nagy, Ilona AU - Pécsi, István AU - Péterné, Kovács Anikó AU - Rácz, Éva AU - Ruppert, László TI - A tanterem már nem elég! Tehetséggondozás és felzárkóztatás a BME Alfa online felületen JF - ÉRINTŐ : ELEKTRONIKUS MATEMATIKAI LAPOK J2 - ÉRINTŐ VL - 16 PY - 2020 SN - 2559-9275 UR - https://m2.mtmt.hu/api/publication/31345289 ID - 31345289 LA - Hungarian DB - MTMT ER - TY - JOUR AU - Fercec, B. AU - Nagy, Ilona AU - Romanovski, V. AU - Szederkényi, Gábor AU - Tóth, János TI - Limit Cycles in a Two-Species Reaction JF - JOURNAL OF NONLINEAR MODELING AND ANALYSIS J2 - JNMA VL - 1 PY - 2019 IS - 3 SP - 283 EP - 300 PG - 18 SN - 2562-2854 DO - 10.12150/jnma.2019.283 UR - https://m2.mtmt.hu/api/publication/31170327 ID - 31170327 N1 - Faculty of Energy Technology, Hočevarjev trg 1, Krsko, 8270, Slovenia Center for Applied Mathematics and Theoretical Physics, University of Maribor, Mladinska 3, Maribor, SI-2000, Slovenia Department of Mathematical Analysis, Budapest University of Technology and Economics, Egry J. u. 1., Budapest, H-1111, Hungary Faculty of Electrical Engineering and Computer Science, University of Maribor, Koroška c. 46, Maribor, 2000, Slovenia Faculty of Natural Science and Mathematics, University of Maribor, Koroška c. 160, Maribor, 2000, Slovenia Faculty of Information Technology and Bionics, Pázmány Péter Catholic University, Práter u. 50/A., Budapest, H-1083, Hungary Laboratory for Chemical Kinetics, Eötvös Loránd University, Pázmány P. sétány 1/A, Budapest, H-1117, Hungary Cited By :3 Export Date: 1 March 2023 Correspondence Address: Romanovski, V.G.; Center for Applied Mathematics and Theoretical Physics, Mladinska 3, Slovenia; email: valerij.romanovskij@um.si LA - English DB - MTMT ER - TY - CHAP AU - Drexler, Dániel András AU - Nagy, Ilona AU - Romanovski, Valery AU - Tóth, János AU - Kovács, Levente ED - Szakál, Anikó TI - Qualitative Analysis of a Closed-Loop Model of Tumor Growth Control T2 - IEEE 18th International Symposium on Computational Intelligence and Informatics (CINTI 2018) PB - IEEE Hungary Section CY - Budapest SN - 9781728111179 PY - 2018 SP - 329 EP - 334 PG - 6 DO - 10.1109/CINTI.2018.8928208 UR - https://m2.mtmt.hu/api/publication/30367455 ID - 30367455 AB - Tumor volume modeling and control is a promising way to design more efficient, personalized tumor treatment. This requires a model of tumor growth dynamics, and a control law to design the therapy. Tumor growth models are usually nonlinear, while most control laws are linear, and the controllers are designed for approximate linear models thus stable operation is guaranteed only locally. We consider the application of a linear state feedback for a nonlinear tumor growth model, and carry out the qualitative analysis of the closed-loop model. We give conditions for the control law parameters to have a globally stable closed-loop system, and analyze the effect of the control law parameters on the steady-state tumor volume and the maximal drug injection. LA - English DB - MTMT ER - TY - JOUR AU - Molnár, Zoltán Gábor AU - Nagy, Ilona AU - Lángné, Lázi Márta TI - BME Alfa: interaktív gyakorlás és versenyzés JF - ÉRINTŐ : ELEKTRONIKUS MATEMATIKAI LAPOK J2 - ÉRINTŐ VL - 4 PY - 2017 SN - 2559-9275 UR - https://m2.mtmt.hu/api/publication/31345297 ID - 31345297 LA - Hungarian DB - MTMT ER - TY - JOUR AU - Gyurkovics, Éva AU - Kiss, Krisztina AU - Nagy, Ilona AU - Takács, Tibor TI - Multiple summation inequalities and their application to stability analysis of discrete-time delay systems JF - JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS J2 - J FRANKLIN I VL - 354 PY - 2017 IS - 1 SP - 123 EP - 144 PG - 22 SN - 0016-0032 DO - 10.1016/j.jfranklin.2016.10.006 UR - https://m2.mtmt.hu/api/publication/3034032 ID - 3034032 LA - English DB - MTMT ER -