@article{MTMT:34791484,
	title = {A simplified longitudinal model for the development of Type 2 Diabetes Mellitus},
	url = {https://m2.mtmt.hu/api/publication/34791484},
	author = {De Gaetano, Andrea and Nagy, Ilona and Kiss, Dániel and Romanovski, Valery G. and Hardy, Thomas A.},
	doi = {10.1016/j.jtbi.2024.111822},
	journal-iso = {J THEOR BIOL},
	journal = {JOURNAL OF THEORETICAL BIOLOGY},
	volume = {587},
	unique-id = {34791484},
	issn = {0022-5193},
	year = {2024},
	eissn = {1095-8541},
	orcid-numbers = {Romanovski, Valery G./0000-0002-2775-2953}
}

@article{MTMT:34533657,
	title = {Stability analysis of the singular points and Hopf bifurcations of a tumor growth control model},
	url = {https://m2.mtmt.hu/api/publication/34533657},
	author = {Drexler, Dániel András and Nagy, Ilona and Romanovski, V.G.},
	doi = {10.1002/mma.9885},
	journal-iso = {MATH METHOD APPL SCI},
	journal = {MATHEMATICAL METHODS IN THE APPLIED SCIENCES},
	volume = {47},
	unique-id = {34533657},
	issn = {0170-4214},
	abstract = {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.},
	keywords = {TUMORS; BIFURCATION; BIFURCATION; cancer therapy; cancer therapy; tumor growth; Lyapunov functions; Control model; Ordinary differential equations; Tumor therapy; Tumor therapy; Hopf bifurcation; Limit cycle; Tumor control; Tumor control; singular point; Limit-cycle; growth control; Singular points; Stability analyze},
	year = {2024},
	eissn = {1099-1476},
	pages = {5677-5691}
}

@inproceedings{MTMT:32596350,
	title = {Bifurcations in a closed-loop model of tumor growth control},
	url = {https://m2.mtmt.hu/api/publication/32596350},
	author = {Drexler, Dániel András and Nagy, Ilona and Romanovski, Valery},
	booktitle = {21th IEEE International Symposium on Computational Intelligence and Informatics (CINTI 2021)},
	doi = {10.1109/CINTI53070.2021.9668407},
	unique-id = {32596350},
	abstract = {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},
	year = {2021},
	pages = {37-42}
}

@mastersthesis{MTMT:32499363,
	title = {Qualitative investigations of kinetic differential equations},
	url = {https://m2.mtmt.hu/api/publication/32499363},
	author = {Nagy, Ilona},
	publisher = {Budapest University of Technology and Economics},
	unique-id = {32499363},
	year = {2021}
}

@article{MTMT:31641309,
	title = {Two Nested Limit Cycles in Two-Species Reactions},
	url = {https://m2.mtmt.hu/api/publication/31641309},
	author = {Nagy, Ilona and Romanovski, Valery G. and Tóth, János},
	doi = {10.3390/math8101658},
	journal-iso = {MATHEMATICS-BASEL},
	journal = {MATHEMATICS},
	volume = {8},
	unique-id = {31641309},
	year = {2020},
	eissn = {2227-7390},
	orcid-numbers = {Tóth, János/0000-0003-3065-5596}
}

@article{MTMT:31345289,
	title = {A tanterem már nem elég! Tehetséggondozás és felzárkóztatás a BME Alfa online felületen},
	url = {https://m2.mtmt.hu/api/publication/31345289},
	author = {Lángné, Lázi Márta and Gergi, Miklós and Kiss, Sándor and Molnár, Zoltán Gábor and Nagy, Ilona and Pécsi, István and Péterné, Kovács Anikó and Rácz, Éva and Ruppert, László},
	journal-iso = {ÉRINTŐ},
	journal = {ÉRINTŐ : ELEKTRONIKUS MATEMATIKAI LAPOK},
	volume = {16},
	unique-id = {31345289},
	year = {2020},
	eissn = {2559-9275}
}

@article{MTMT:31170327,
	title = {Limit Cycles in a Two-Species Reaction},
	url = {https://m2.mtmt.hu/api/publication/31170327},
	author = {Fercec, B. and Nagy, Ilona and Romanovski, V. and Szederkényi, Gábor and Tóth, János},
	doi = {10.12150/jnma.2019.283},
	journal-iso = {JNMA},
	journal = {JOURNAL OF NONLINEAR MODELING AND ANALYSIS},
	volume = {1},
	unique-id = {31170327},
	issn = {2562-2854},
	year = {2019},
	eissn = {2562-2862},
	pages = {283-300},
	orcid-numbers = {Szederkényi, Gábor/0000-0003-4199-6089; Tóth, János/0000-0003-3065-5596}
}

@inproceedings{MTMT:30367455,
	title = {Qualitative Analysis of a Closed-Loop Model of Tumor Growth Control},
	url = {https://m2.mtmt.hu/api/publication/30367455},
	author = {Drexler, Dániel András and Nagy, Ilona and Romanovski, Valery and Tóth, János and Kovács, Levente},
	booktitle = {IEEE 18th International Symposium on Computational Intelligence and Informatics (CINTI 2018)},
	doi = {10.1109/CINTI.2018.8928208},
	unique-id = {30367455},
	abstract = {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.},
	year = {2018},
	pages = {329-334},
	orcid-numbers = {Tóth, János/0000-0003-3065-5596; Kovács, Levente/0000-0002-3188-0800}
}

@article{MTMT:31345297,
	title = {BME Alfa: interaktív gyakorlás és versenyzés},
	url = {https://m2.mtmt.hu/api/publication/31345297},
	author = {Molnár, Zoltán Gábor and Nagy, Ilona and Lángné, Lázi Márta},
	journal-iso = {ÉRINTŐ},
	journal = {ÉRINTŐ : ELEKTRONIKUS MATEMATIKAI LAPOK},
	volume = {4},
	unique-id = {31345297},
	year = {2017},
	eissn = {2559-9275}
}

@article{MTMT:3034032,
	title = {Multiple summation inequalities and their application to stability analysis of discrete-time delay systems},
	url = {https://m2.mtmt.hu/api/publication/3034032},
	author = {Gyurkovics, Éva and Kiss, Krisztina and Nagy, Ilona and Takács, Tibor},
	doi = {10.1016/j.jfranklin.2016.10.006},
	journal-iso = {J FRANKLIN I},
	journal = {JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS},
	volume = {354},
	unique-id = {3034032},
	issn = {0016-0032},
	year = {2017},
	eissn = {1879-2693},
	pages = {123-144}
}