Publications

Monika Piotrowska

Number of publications: 67

2025

• Marek Bodnar , Monika Piotrowska , Mariusz Bodzioch, Juan Belmonte-Beitia, Urszula Foryś , Dual CAR-T cell therapy for glioblastoma: strategies to cure tumour diseases based on a mathematical model, Nonlinear Dynamics, 113 (2) 2025, p. 1637-1666. See in PBN

2024

• Hanjue Xia, Johannes Horn, Monika Piotrowska , Konrad Sakowski , André Karch, Mirjam Kretzschmar, Rafael Mikolajczyk, Regional patient transfer patterns matter for the spread of hospital-acquired pathogens, Scientific Reports, 14 (1) 2024, p. 929: 1-14. See in PBN

2023

• Marek Bodnar , Urszula Foryś , Monika Piotrowska , Mariusz Bodzioch, Jose A. Romero-Rosales, Juan Belmonte Beitia, On the Analysis of a Mathematical Model of CAR–T Cell Therapy for Glioblastoma: Insights from a Mathematical Model, International Journal of Applied Mathematics and Computer Science, 33 (3) 2023, p. 379 - 394. See in PBN
• Monika Piotrowska , Aleksandra Puchalska , Konrad Sakowski , On the network suppression of the pathogen spread within the healthcare system, Applied Mathematics and Computation, 457 2023, p. 128169: 1-21. See in PBN
• Monika Piotrowska , Konrad Sakowski , Johannes Horn, Rafael Mikolajczyk, André Karch, The effect of re-directed patient flow in combination with targeted infection control measures on the spread of multi-drug-resistant Enterobacteriaceae in the German health-care system: a mathematical modelling approach, Clinical Microbiology and Infection, 29 (1) 2023, p. 109.e1-109.e7. See in PBN
• Paweł Brachaczek, Agata Lonc , Mirjam E. Kretzschmar, Rafael Mikolajczyk, Johannes Horn, Andre Karch, Konrad Sakowski , Monika Piotrowska , Transmission of drug-resistant bacteria in a hospital-community model stratified by patient risk, Scientific Reports, 13 (1) 2023, p. 18593: 1-26. See in PBN
• Agnieszka Bartłomiejczyk, Marek Bodnar , Magdalena U. Bogdańska, Monika Piotrowska , Travelling Waves for Low–Grade Glioma Growth and Response to A Chemotherapy Model, International Journal of Applied Mathematics and Computer Science, 33 (4) 2023, p. 569 - 581. See in PBN

2021

• Hanjue Xia, Johannes Horn, Monika Piotrowska , Konrad Sakowski , André Karch, Hannan Tahir, Mirjam Kretzschmar, Rafael Mikolajczyk, Effects of incomplete inter-hospital network data on the assessment of transmission dynamics of hospital-acquired infections, PLoS Computational Biology, 17 (5) 2021, p. e1008941:1-18. See in PBN
• Hannan Tahir, Luis Eduardo López-Cortés, Axel Kola, Dafna Yahav, André Karch, Hanjue Xia, Johannes Horn, Konrad Sakowski , Monika Piotrowska , Leonard Leibovici, Rafael T. Mikolajczyk, Mirjam E. Kretzschmar, Relevance of intra-hospital patient movements for the spread of healthcare-associated infections within hospitals - a mathematical modeling study, PLoS Computational Biology, 17 (2) 2021, p. e1008600:1-23. See in PBN

2020

• Monika Piotrowska , Konrad Sakowski , A. Lonc, H. Tahir, M.E. Kretzschmar, Impact of inter-hospital transfers on the prevalence of resistant pathogens in a hospital–community system, Epidemics, 33 2020, p. 100408. See in PBN
• Monika Piotrowska , Konrad Sakowski , André Karch, Hannan Tahir, Johannes Horn, Mirjam E. Kretzschmar, Rafael T. Mikolajczyk, Modelling pathogen spread in a healthcare network: Indirect patient movements, PLoS Computational Biology, 16 (11) 2020, p. e1008442. See in PBN
• Urszula Foryś , Natalia Jankowska, Katarzyna Cytlak, Monika Piotrowska , Time delays in dyadic interactions on the example of relations between optimists and pessimists, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 43 (18) 2020, p. 10593-10618. See in PBN

2019

• Agata Lonc, Monika Piotrowska , Konrad Sakowski , Analysis of the AOK Plus data and derived hospital network, Mathematica Applicanda (Matematyka Stosowana). Annales Societatis Mathematicae Polonae Series III, 47 (1) 2019, p. 127-139. See in PBN
• Marek Bodnar , Magdalena Bogdańska, Monika Piotrowska , Mathematical Analysis of a Generalised Model of Chemotherapy for Low Grade Gliomas, Discrete and Continuous Dynamical Systems - Series B, 24 (5) 2019, p. 2149-2167. See in PBN

2018

• Monika Piotrowska , Marek Bodnar , Influence of distributed delays on the dynamics of a generalized immune system cancerous cells interactions model, Communications in Nonlinear Science and Numerical Simulation, 54 2018, p. 389-415. See in PBN
• Monika Piotrowska , Agnieszka Bartłomiejczyk, Marek Bodnar , Mathematical analysis of a generalised p53-Mdm2 protein gene expression model, Applied Mathematics and Computation, 328 2018, p. 26 - 44. See in PBN
• Urszula Foryś , Joanna Górecka, Monika Piotrowska , The role of optimism and pessimism in the dynamics of emotional states, Discrete and Continuous Dynamical Systems - Series B, 23 (1) 2018, p. 401-423. See in PBN

2017

• Magdalena Bogdańska, Marek Bodnar , Monika Piotrowska , Michael Murek, Philippe Schucht, Jürgen Beck, Alicia Martínez-González, Víctor M. Pérez-García, A mathematical model describes the malignant transformation of low grade gliomas: Prognostic implications, PLoS ONE, 2017, p. 1-24. See in PBN
• Magdalena Bogdańska, Marek Bodnar , Monika Piotrowska , Mathematical analysis of the model describing chemotherapy of brain tumours, XXIII National Conference on Applications of Mathematics in Biology and Medicine, Jugowice, Poland, 11 September 2017 - 15 September 2017. See in PBN
• Avner Friedman, Mirosław Lachowicz , Urszula Ledzewicz, Monika Piotrowska , Zuzanna Szymańska , Micro and Macro Systems in Life Sciences (Preface), Mathematical Biosciences and Engineering, 14 (1) 2017, p. 1. See in PBN
• Magdalena Bogdańska, Marek Bodnar , Monika Piotrowska , Michael Murek, Philpp Schucht, Juergen Beck, Alicia Martınez-Gonzalez, Victor Manuel Perez-Garcia, P10.02 Malignant transformation of low-grade gliomas. Prognostic implications from mathematical model, Neuro-Oncology, 19 (suppl_3) 2017, p. iii85. See in PBN

2016

• Monika Piotrowska , An immune system–tumour interactions model with discrete time delay: Model analysis and validation, Communications in Nonlinear Science and Numerical Simulation, 2016. See in PBN
• Marek Bodnar , Pilar Guerro, Ruben Perez-Carrasco, Monika Piotrowska , Deterministic and Stochastic Study for a Microscopic Angiogenesis Model: Applications to the Lewis Lung Carcinoma, PLoS ONE, 2016. See in PBN
• Marek Bodnar , Monika Piotrowska , Magdalena Bogdańska, Mathematical model of malignant transformation of gliomas, XXII Krajowa Konferencja Zastosowań Matematyki w Biologii i Medycynie, Sandomierz, Poland, 5 September 2016 - 9 September 2016. See in PBN
• Marek Bodnar , Monika Piotrowska , Stability analysis of the family of tumour angiogenesis models with distributed time delays, Communications in Nonlinear Science and Numerical Simulation, 2016. See in PBN
• Marek Bodnar , Monika Piotrowska , Tumour-immune system interaction model with Erlang distributed delays, 16th International Conference Computational and Mathematical Methods in Science and Engineering, Rota, Cadiz, Spain, 4 July 2016 - 8 July 2016. See in PBN

2015

• Marek Bodnar , Monika Piotrowska , Agnieszka Bartłomiejczyk, Analysis of the p53 protein gene expression model, XXI Krajowa Konferencja Zastosowań Matematyki w Biologii i Medycynie, Regietów, Poland, 22 September 2015 - 26 September 2015. See in PBN
• Marek Bodnar , Monika Piotrowska , Magdalena Bogdańska, Modeling chemotherapy for low grade gliomas, XXI Krajowa Konferencja Zastosowań Matematyki w Biologii i Medycynie, Regietów, Poland, 22 September 2015 - 26 September 2015. See in PBN
• Marek Bodnar , Monika Piotrowska , Różne oblicza równania logistycznego, 2015. See in PBN

2014

• Simon Angus, Monika Piotrowska , A Matter of Timing: Identifying Significant Multi-Dose Radiotherapy Improvements by Numerical Simulation and Genetic Algorithm Search, PLoS ONE, 2014. See in PBN
• Urszula Foryś , Monika Piotrowska , DELAY DIFFERENTIAL EQUATIONS IN BIO-POPULATIONS, Mathematical Population Studies, 2014. See in PBN
• Marek Bodnar , Monika Piotrowska , Logistic Equation with Treatment Function and Discrete Delays, Mathematical Population Studies, 2014. See in PBN
• Urszula Foryś , Monika Piotrowska , Jan Poleszczuk, Optimal Protocols for the Anti-VEGF Tumor Treatment, Mathematical Modelling of Natural Phenomena, 2014. See in PBN
• Marek Bodnar , Urszula Foryś , Monika Piotrowska , Proceedings of the Twentieth National Conference on Applications of Mathematics in Biology and Medicine - Łochów 23-27 September 2014, 2014. See in PBN
• Marek Bodnar , Urszula Foryś , Monika Piotrowska , Tractable Model of Malignant Gliomas Immunotherapy with Discrete Time Delays, Mathematical Population Studies, 2014. See in PBN

2013

• Simon D. Angus, Monika Piotrowska , A numerical model of EMT6/Ro spheroid dynamics under irradiation: Calibration and estimation of the underlying irradiation-induced cell survival probability, Journal of Theoretical Biology, 2013. See in PBN
• Marek Bodnar , Urszula Foryś , Monika Piotrowska , Jan Poleszczuk, A simple model of carcinogenic mutations with time delay and diffusion, Mathematical Biosciences and Engineering, 2013. See in PBN
• Urszula Foryś , Monika Piotrowska , Analysis of the Hopf bifurcation for the family of angiogenesis models II: The case of two nonzero unequal delays, Applied Mathematics and Computation, 220 (Complete) 2013, p. 277-295. See in PBN
• Marek Bodnar , Urszula Foryś , Monika Piotrowska , Existence and stability of oscillating solutions for a class of delay differential equations, Nonlinear Analysis: Real World Applications, 2013. See in PBN
• Marek Bodnar , Urszula Foryś , Monika Piotrowska , Gompertz model with delays and treatment: mathematical analysis, Mathematical Biosciences and Engineering, 2013. See in PBN
• Marek Bodnar , Urszula Foryś , Monika Piotrowska , Logistic type equations with discrete delay and quasi-periodic suppression rate, Applied Mathematics Letters, 2013. See in PBN
• Monika Piotrowska , Joanna Górecka, Mathematical Model of the emotional state of communicating people, Proceedings of the Nineteenth National Conference Applications of Mathematics in Biology and Medicine, , 16 - 20 September 2013, Jastrzębia Góra, Poland, 16 September 2013 - 20 September 2013. See in PBN
• Marek Bodnar , Urszula Foryś , Monika Piotrowska , Jan Poleszczuk, Mathematical modelling of immune reaction against gliomas: Sensitivity analysis and influence of delays, Nonlinear Analysis: Real World Applications, 2013. See in PBN
• Marek Bodnar , Urszula Foryś , Ewa Nizińska, Monika Piotrowska , Model of tumour angiogenesis - analysis of stability with respect to delays, Mathematical Biosciences and Engineering, 2013. See in PBN

2012

• Marek Bodnar , Urszula Foryś , Monika Piotrowska , Jan Poleszczuk, Carcinogenesis, mutations, delay and diffusion, XVIII Krajowa Konferencja Zastosowań Matematyki w Biologii i Medycynie, Krynica Morska, Poland, 23 September 2012 - 27 September 2012. See in PBN

2011

• Urszula Foryś , Monika Piotrowska , Analysis of the Hopf bifurcation for the family of angiogenesis models, Journal of Mathematical Analysis and Applications, 2011. See in PBN
• Marek Bodnar , Urszula Foryś , Monika Piotrowska , Delayed logistic equation with treatment function, XVII Krajowa Konferencja Zastosowań Matematyki w Biologii i Medycynie, Zakopane - Kościelisko, Poland, 1 September 2011 - 6 September 2011. See in PBN
• Monika Piotrowska , Piotr Szopa, Growth of heterotrophe and autotrophe populations in an isolated terrestrial environment, Applicationes Mathematicae, 2011. See in PBN
• Urszula Foryś , Monika Piotrowska , Jan Poleszczuk, New approach to anti-angiogenic treatment modelling and control, Proceedings of the Seventeenth National Conference on Application of Mathematics in Biology and Medicine, Zakopane - Kościelisko, Poland, 1 September 2011 - 6 September 2011. See in PBN
• Marek Bodnar , Urszula Foryś , Monika Piotrowska , Jan Poleszczuk, Proceedings of the XVII National Conference on Application of Mathematics in Biology and Medicine, 2011. See in PBN
• Urszula Foryś , Monika Piotrowska , The nature of Hopf bifurcation for the Gompertz model with delays, MATHEMATICAL AND COMPUTER MODELLING, 2011. See in PBN

2010

• Urszula Foryś , Monika Piotrowska , MGS Immunotherapy: Simplified Model with delays, XVI Krajowa Konferencja Zastosowań Matematyki w Biologii i Medycynie, Krynica Górska, Poland, 14 September 2010 - 18 September 2010. See in PBN
• Marek Bodnar , Monika Piotrowska , O równaniach różniczkowych z opóźnieniem - teoria i zastosowania, Mathematica Applicanda (Matematyka Stosowana). Annales Societatis Mathematicae Polonae Series III, 2010. See in PBN
• S.D. Angus, Monika Piotrowska , The Onset of Necrosis in a 3D Cellular Automaton Model of EMT6 Multi-Cellular Spheroids, Applicationes Mathematicae, 2010. See in PBN

2009

• S. D. Angus, Monika Piotrowska , A Quantitative Cellular Automaton Model of in vitro Multicellular Spheroid Tumour Growth, Journal of Theoretical Biology, 2009. See in PBN
• Monika Piotrowska , Piotr Szopa, Development of Heterotrophic and Autotrophic Organisms in Isolated Land Environment, Proceedings of the fifteenth National Conference on Application of Mathematics in Biology and Medicine, Szczyrk, Poland, 15 September 2009 - 19 September 2009. See in PBN

2008

• A. Koptyug, E. Mamontov, A. Peterson, Monika Piotrowska , A model and simulation for homeorhesis in the motion of a single individual, MATHEMATICAL AND COMPUTER MODELLING, 2008. See in PBN
• Monika Piotrowska , Hopf Bifurcation in a Solid Avascular Tumour Growth Model with two Discrete Delays, MATHEMATICAL AND COMPUTER MODELLING, 2008. See in PBN
• H. Enderling, M. Mackey, Monika Piotrowska , Uwe an der Heiden, Mathematical Modelling of Stem Cells Related to Cancer, 2008. See in PBN
• S. Angus, Monika Piotrowska , Towards a 3D Cellular Automaton Model of Mulicellular Spheroids, XIV Krajowa Konferencja Zastosowań Matematyki w Biologii i Medycynie, Leszno k. Warszawy, Poland, 17 September 2008 - 20 September 2008. See in PBN

2007

• Monika Piotrowska , A Remark on the ODE with two Discrete Delayes, Journal of Mathematical Analysis and Applications, 2007. See in PBN

2006

• B. Kaltschmidt, C. Kaltschmidt, Monika Piotrowska , D. Widera, Uwe an der Heiden, Mathematical model for NF-kappaB driven proliferation of adult neural stem cells, Cell Proliferation, 2006. See in PBN

2005

• Monika Piotrowska , Activator -Inhibitor Systems with Delay and Pattern Formation, MATHEMATICAL AND COMPUTER MODELLING, 2005. See in PBN

2004

• Urszula Foryś , Monika Piotrowska , Time delays in solid avascular tumour growth, Proceedings of the Tenth National Conference on Application of Mathematics in Biology and Medicine, Święty Krzyż, Poland, 22 September 2004 - 25 September 2004. See in PBN

Others

• Jan Poleszczuk, Urszula Foryś , Marek Bodnar , Monika Piotrowska , Cancer as a Killer Tsunami, The Art of Theoretical Biology, , p. 62-63. See in PBN
• Magdalena Bogdańska, Marek Bodnar , Monika Piotrowska , Mathematical analysis of the model describing chemotherapy of brain tumours, Proceedings of the XXIII National Conference on Applications of Mathematics in Biology and Medicine : Jugowice, September 11–15, 2016. See in PBN
• Marek Bodnar , Monika Piotrowska , Różne oblicza równania logistycznego, Metody matematyczne w zastosowaniach tom 3, , p. 187-209. See in PBN