Wydział Matematyki, Informatyki i Mechaniki Uniwersytetu Warszawskiego
Publications
Monika Piotrowska
2018
- Monika Joanna Piotrowska, Agnieszka Bartłomiejczyk and Marek Bodnar, Mathematical analysis of a generalised p53-Mdm2 protein gene expression model, Applied Mathematics And Computation 328 (1 July 2018) 2018, p. 26–44.see in PBN
- Monika Joanna Piotrowska and 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 Joanna Piotrowska, Joanna Górecka and Urszula Foryś, 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 Urszula Bogdańska, Marek Bodnar and Monika Joanna Piotrowska, Mathematical analysis of the model describing chemotherapy of brain tumours., in: Proceedings of the XXIII National Conference Applications of Mathematics in Biology and Medicine, Politechnika Śląska, Uniwersytet Warszawski, Gliwice 2017, p. 43–50.see in PBN
- Avner Friedman, Mirosław Lachowicz, Urszula Ledzewicz, Monika Joanna Piotrowska and Zuzanna Szymańska, Micro and Macro Systems in Life Sciences (Preface), Mathematical Biosciences And Engineering 14 (1) 2017, p. i–i.see in PBN
- Magdalena Urszula Bogdańska, Marek Bodnar, Monika Joanna Piotrowska, Michael Murek, Philpp Schucht, Juergen Beck, Alicia Martınez-Gonzalez and 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
- Magdalena Urszula Bogdańska, Marek Bodnar, Monika Joanna Piotrowska, Michael Murek, Philippe Schucht, Jürgen Beck, Alicia Martínez-González and Víctor M. Pérez-García, A mathematical model describes the malignant transformation of low grade gliomas: Prognostic implications, Plos One 12 (8) 2017, p. e0179999.see in PBN
2016
- Marek Bodnar and Monika Joanna Piotrowska, Stability analysis of the family of tumour angiogenesis models with distributed time delays, Communications In Nonlinear Science And Numerical Simulation 31 (1-3) 2016, p. 124–142.see in PBN
- Monika Joanna Piotrowska, An immune system–tumour interactions model with discrete time delay: Model analysis and validation, Communications In Nonlinear Science And Numerical Simulation 34 2016, p. 185–198.see in PBN
- Marek Bodnar, Pilar Guerro, Ruben Perez-Carrasco and Monika Joanna Piotrowska, Deterministic and Stochastic Study for a Microscopic Angiogenesis Model: Applications to the Lewis Lung Carcinoma, Plos One 11 (5) 2016, p. e0155553.see in PBN
- Monika Joanna Piotrowska and Marek Bodnar, Tumour-immune system interaction model with Erlang distributed delays, in: Proceedings of the 16th International Conference on Mathematical Methods in Science and Engineering, Spain 2016, p. 999–1009.see in PBN
- Magdalena Urszula Bogdańska, Marek Bodnar and Monika Joanna Piotrowska, Mathematical model of malignant transformation of gliomas, in: Proceedings of the Twenty Second National Conference Applications of Mathematics in Biology and Medicine, Wydawnictwo Uniwersytetu Jana Kochanowskiego w Kielcach, Kielce 2016, p. 19–23.see in PBN
2015
- Agnieszka Bartłomiejczyk, Marek Bodnar and Monika Joanna Piotrowska, Analysis of the p53 protein gene expression model, in: Proceedings of the Twenty-First National Conference on Applications of Mathematics in Biology and Medicine, Regietów 22-26 September 2015, Institute of Applied Mathematics and Mechanics, University of Warsaw, Warszawa 2015, p. 21–26.see in PBN
- Magdalena Bogdańska, Marek Bodnar and Monika Joanna Piotrowska, Modeling chemotherapy for low grade gliomas, in: Proceedings of the Twenty-First National Conference on Applications of Mathematics in Biology and Medicine, Regietów 22-26 September 2015, Institute of Applied Mathematics and Mechanics, University of Warsaw, Warszawa 2015, p. 33–38.see in PBN
- Monika Joanna Piotrowska and Marek Bodnar, Różne oblicza równania logistycznego, in: Metody matematyczne w zastosowaniach, Politechnika Gdańska, Gdańsk 2015, r. 10, p. 187–209.see in PBN
2014
- Monika Joanna Piotrowska and Urszula Foryś, DELAY DIFFERENTIAL EQUATIONS IN BIO-POPULATIONS, Mathematical Population Studies 21 2014, p. 125–126.see in PBN
- Jan Poleszczuk, Monika Joanna Piotrowska and Urszula Foryś, Optimal Protocols for the Anti-VEGF Tumor Treatment, Mathematical Modelling Of Natural Phenomena 9 (4) 2014, p. 204–215.see in PBN
- Simon Angus and Monika Joanna Piotrowska, A Matter of Timing: Identifying Significant Multi-Dose Radiotherapy Improvements by Numerical Simulation and Genetic Algorithm Search, Plos One 9 (12) 2014, p. e114098.see in PBN
- Monika Joanna Piotrowska, Marek Bodnar and Urszula Foryś, Tractable Model of Malignant Gliomas Immunotherapy with Discrete Time Delays, Mathematical Population Studies 21 (3) 2014, p. 127–145.see in PBN
- Monika Joanna Piotrowska and Marek Bodnar, Logistic Equation with Treatment Function and Discrete Delays, Mathematical Population Studies 21 (3) 2014, p. 166–183.see in PBN
- Marek Bodnar, Urszula Foryś and Monika Joanna Piotrowska (eds.), Proceedings of the Twentieth National Conference on Applications of Mathematics in Biology and Medicine - Łochów 23-27 September 2014, Institute of Applied Mathematics and Mechanics, University of Warsaw, Warszawa 2014.see in PBN
2013
- Marek Bodnar, Monika Joanna Piotrowska, Urszula Foryś and Ewa Nizińska, Model of tumour angiogenesis - analysis of stability with respect to delays, Mathematical Biosciences And Engineering 10 (1) 2013, p. 19–35.see in PBN
- Monika Joanna Piotrowska, Marek Bodnar, Jan Poleszczuk and Urszula Foryś, Mathematical modelling of immune reaction against gliomas: Sensitivity analysis and influence of delays, Nonlinear Analysis-real World Applications 14 (3) 2013, p. 1601–1620.see in PBN
- Marek Bodnar, Monika Joanna Piotrowska and Urszula Foryś, Existence and stability of oscillating solutions for a class of delay differential equations, Nonlinear Analysis-real World Applications 14 (3) 2013, p. 1780–1794.see in PBN
- Marek Bodnar, Urszula Foryś and Monika Joanna Piotrowska, Logistic type equations with discrete delay and quasi-periodic suppression rate, Applied Mathematics Letters 26 (6) 2013, p. 607–611.see in PBN
- Simon D. Angus and Monika Joanna 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 320 (Complete) 2013, p. 23–32.see in PBN
- Monika Joanna Piotrowska, Urszula Foryś, Marek Bodnar and Jan Poleszczuk, A simple model of carcinogenic mutations with time delay and diffusion, Mathematical Biosciences And Engineering 10 (3) 2013, p. 861––872.see in PBN
- Marek Bodnar, Monika Joanna Piotrowska and Urszula Foryś, Gompertz model with delays and treatment: mathematical analysis, Mathematical Biosciences And Engineering 10 (3) 2013, p. 551––563.see in PBN
- Urszula Foryś and Monika Joanna 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
- Joanna Górecka and Monika Joanna Piotrowska, Mathematical Model of the emotional state of communicating people, in: Proceedings of the XIX National Conference Applications of Mathematics in Biology and Medicine, Gdańsk 2013, p. 42–47.see in PBN
2011
- Monika Joanna Piotrowska, Urszula Foryś and Marek Bodnar, Delayed logistic equation with treatment function, in: Proceedings of the XVII National Conference on Application of Mathematics in Biology and Medicine, Uniwersytet Warszawski, Warszawa 2011, p. 66–72.see in PBN
- Jan Poleszczuk, Urszula Foryś and Monika Joanna Piotrowska, New approach to anti-angiogenic treatment modelling and control, in: Proceedings of the XVII National Conference on Application of Mathematics in Biology and Medicine, Uniwersytet Warszawski, Warszawa 2011.see in PBN
- Monika Joanna Piotrowska and Urszula Foryś, The nature of Hopf bifurcation for the Gompertz model with delays, Mathematical And Computer Modelling 54 (9-10) 2011, p. 2183–2198.see in PBN
- Piotr Szopa and Monika Joanna Piotrowska, Growth of heterotrophe and autotrophe populations in an isolated terrestrial environment, Applicationes Mathematicae 38 (1) 2011, p. 67–84.see in PBN
- Monika Joanna Piotrowska and Urszula Foryś, Analysis of the Hopf bifurcation for the family of angiogenesis models, Journal Of Mathematical Analysis And Applications 382 (1) 2011, p. 180–203.see in PBN
- Urszula Foryś, Marek Bodnar, Jan Poleszczuk and Monika Joanna Piotrowska (eds.), Proceedings of the XVII National Conference on Application of Mathematics in Biology and Medicine, Uniwersytet Warszawski, Warszawa 2011.see in PBN
2010
- Monika Joanna Piotrowska and S.D. Angus, The Onset of Necrosis in a 3D Cellular Automaton Model of EMT6 Multi-Cellular Spheroids, Applicationes Mathematicae 37 (1) 2010, p. 69–88.see in PBN
- Urszula Foryś and Monika Joanna Piotrowska, MGS Immunotherapy: Simplified Model with delays, in: Proceedings of the XVI National Conference on Application of Mathematics in Biology and Medicine, AGH, Kraków 2010.see in PBN
- Marek Bodnar and Monika Joanna Piotrowska, O równaniach różniczkowych z opóźnieniem - teoria i zastosowania, Mathematica Applicanda (matematyka Stosowana). Annales Societatis Mathematicae Polonae Series Iii 11 (52) 2010, p. 17–56.see in PBN
2009
- Piotr Szopa and Monika Joanna Piotrowska, Development of Heterotrophic and Autotrophic Organisms in Isolated Land Environment, in: Proceedings of the fifteenth National Conference on Application of Mathematics in Biology and Medicine, Szczyrk, 15-19 September 2009, Silesian University of Technology, 2009, p. 137–142.see in PBN
- Monika Joanna Piotrowska and S. D. Angus, A Quantitative Cellular Automaton Model of in vitro Multicellular Spheroid Tumour Growth, Journal Of Theoretical Biology 258 2009, p. 165–178.see in PBN
2008
- Monika Joanna Piotrowska, E. Mamontov, A. Peterson and A. Koptyug, A model and simulation for homeorhesis in the motion of a single individual, Mathematical And Computer Modelling 48 (7-8) 2008, p. 1122–1142.see in PBN
- Monika Joanna Piotrowska, Hopf Bifurcation in a Solid Avascular Tumour Growth Model with two Discrete Delays, Mathematical And Computer Modelling 47 (5-6) 2008, p. 597–603.see in PBN
- S. Angus and Monika Joanna Piotrowska, Towards a 3D Cellular Automaton Model of Mulicellular Spheroids, in: Proceedings of the XIV National Conference on Application of Mathematics in Biology and Medicine, Wydział Matematyki Informatyki i Mechaniki, Uniwersytet Warszawski, Warszawa 2008, p. 6–11.see in PBN
- Monika Joanna Piotrowska, H. Enderling, Uwe an der Heiden and M. Mackey, Mathematical Modelling of Stem Cells Related to Cancer, in: Cancer and Stem Cells, Nowy 2008.see in PBN
2004
- Urszula Foryś and Monika Joanna Piotrowska, Time delays in solid avascular tumour growth, in: Proceedings of the X national Conference on Application of Mathematics in Biology and Medicine, University of Computer Engineering and Telecomunications, Kielce 2004, p. 43–48.see in PBN
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