Wydział Matematyki, Informatyki i Mechaniki Uniwersytetu Warszawskiego
Publikacje
Monika Piotrowska
2018
- Monika Joanna Piotrowska, Agnieszka Bartłomiejczyk i Marek Bodnar, Mathematical analysis of a generalised p53-Mdm2 protein gene expression model, Applied Mathematics And Computation 328 (1 July 2018) 2018, s. 26–44.zobacz w PBN
- Monika Joanna Piotrowska i 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, s. 389–415.zobacz w PBN
- Monika Joanna Piotrowska, Joanna Górecka i Urszula Foryś, The role of optimism and pessimism in the dynamics of emotional states, Discrete And Continuous Dynamical Systems-series B 23 (1) 2018, s. 401–423.zobacz w PBN
2017
- Magdalena Urszula Bogdańska, Marek Bodnar i Monika Joanna Piotrowska, Mathematical analysis of the model describing chemotherapy of brain tumours., w: Proceedings of the XXIII National Conference Applications of Mathematics in Biology and Medicine, Politechnika Śląska, Uniwersytet Warszawski, Gliwice 2017, s. 43–50.zobacz w PBN
- Avner Friedman, Mirosław Lachowicz, Urszula Ledzewicz, Monika Joanna Piotrowska i Zuzanna Szymańska, Micro and Macro Systems in Life Sciences (Preface), Mathematical Biosciences And Engineering 14 (1) 2017, s. i–i.zobacz w PBN
- Magdalena Urszula Bogdańska, Marek Bodnar, Monika Joanna Piotrowska, Michael Murek, Philpp Schucht, Juergen Beck, Alicia Martınez-Gonzalez i Victor Manuel Perez-Garcia, P10.02 Malignant transformation of low-grade gliomas. Prognostic implications from mathematical model, Neuro-oncology 19 (suppl_3) 2017, s. iii85.zobacz w PBN
- Magdalena Urszula Bogdańska, Marek Bodnar, Monika Joanna Piotrowska, Michael Murek, Philippe Schucht, Jürgen Beck, Alicia Martínez-González i Víctor M. Pérez-García, A mathematical model describes the malignant transformation of low grade gliomas: Prognostic implications, Plos One 12 (8) 2017, s. e0179999.zobacz w PBN
2016
- Marek Bodnar i 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, s. 124–142.zobacz w 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, s. 185–198.zobacz w PBN
- Marek Bodnar, Pilar Guerro, Ruben Perez-Carrasco i Monika Joanna Piotrowska, Deterministic and Stochastic Study for a Microscopic Angiogenesis Model: Applications to the Lewis Lung Carcinoma, Plos One 11 (5) 2016, s. e0155553.zobacz w PBN
- Monika Joanna Piotrowska i Marek Bodnar, Tumour-immune system interaction model with Erlang distributed delays, w: Proceedings of the 16th International Conference on Mathematical Methods in Science and Engineering, Spain 2016, s. 999–1009.zobacz w PBN
- Magdalena Urszula Bogdańska, Marek Bodnar i Monika Joanna Piotrowska, Mathematical model of malignant transformation of gliomas, w: Proceedings of the Twenty Second National Conference Applications of Mathematics in Biology and Medicine, Wydawnictwo Uniwersytetu Jana Kochanowskiego w Kielcach, Kielce 2016, s. 19–23.zobacz w PBN
2015
- Agnieszka Bartłomiejczyk, Marek Bodnar i Monika Joanna Piotrowska, Analysis of the p53 protein gene expression model, w: 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, s. 21–26.zobacz w PBN
- Magdalena Bogdańska, Marek Bodnar i Monika Joanna Piotrowska, Modeling chemotherapy for low grade gliomas, w: 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, s. 33–38.zobacz w PBN
- Monika Joanna Piotrowska i Marek Bodnar, Różne oblicza równania logistycznego, w: Metody matematyczne w zastosowaniach, Politechnika Gdańska, Gdańsk 2015, r. 10, s. 187–209.zobacz w PBN
2014
- Monika Joanna Piotrowska i Urszula Foryś, DELAY DIFFERENTIAL EQUATIONS IN BIO-POPULATIONS, Mathematical Population Studies 21 2014, s. 125–126.zobacz w PBN
- Jan Poleszczuk, Monika Joanna Piotrowska i Urszula Foryś, Optimal Protocols for the Anti-VEGF Tumor Treatment, Mathematical Modelling Of Natural Phenomena 9 (4) 2014, s. 204–215.zobacz w PBN
- Simon Angus i 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, s. e114098.zobacz w PBN
- Monika Joanna Piotrowska, Marek Bodnar i Urszula Foryś, Tractable Model of Malignant Gliomas Immunotherapy with Discrete Time Delays, Mathematical Population Studies 21 (3) 2014, s. 127–145.zobacz w PBN
- Monika Joanna Piotrowska i Marek Bodnar, Logistic Equation with Treatment Function and Discrete Delays, Mathematical Population Studies 21 (3) 2014, s. 166–183.zobacz w PBN
- Marek Bodnar, Urszula Foryś i Monika Joanna Piotrowska (red.), 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.zobacz w PBN
2013
- Marek Bodnar, Monika Joanna Piotrowska, Urszula Foryś i Ewa Nizińska, Model of tumour angiogenesis - analysis of stability with respect to delays, Mathematical Biosciences And Engineering 10 (1) 2013, s. 19–35.zobacz w PBN
- Monika Joanna Piotrowska, Marek Bodnar, Jan Poleszczuk i Urszula Foryś, Mathematical modelling of immune reaction against gliomas: Sensitivity analysis and influence of delays, Nonlinear Analysis-real World Applications 14 (3) 2013, s. 1601–1620.zobacz w PBN
- Marek Bodnar, Monika Joanna Piotrowska i Urszula Foryś, Existence and stability of oscillating solutions for a class of delay differential equations, Nonlinear Analysis-real World Applications 14 (3) 2013, s. 1780–1794.zobacz w PBN
- Marek Bodnar, Urszula Foryś i Monika Joanna Piotrowska, Logistic type equations with discrete delay and quasi-periodic suppression rate, Applied Mathematics Letters 26 (6) 2013, s. 607–611.zobacz w PBN
- Simon D. Angus i 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, s. 23–32.zobacz w PBN
- Monika Joanna Piotrowska, Urszula Foryś, Marek Bodnar i Jan Poleszczuk, A simple model of carcinogenic mutations with time delay and diffusion, Mathematical Biosciences And Engineering 10 (3) 2013, s. 861––872.zobacz w PBN
- Marek Bodnar, Monika Joanna Piotrowska i Urszula Foryś, Gompertz model with delays and treatment: mathematical analysis, Mathematical Biosciences And Engineering 10 (3) 2013, s. 551––563.zobacz w PBN
- Urszula Foryś i 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, s. 277–295.zobacz w PBN
- Joanna Górecka i Monika Joanna Piotrowska, Mathematical Model of the emotional state of communicating people, w: Proceedings of the XIX National Conference Applications of Mathematics in Biology and Medicine, Gdańsk 2013, s. 42–47.zobacz w PBN
2011
- Monika Joanna Piotrowska, Urszula Foryś i Marek Bodnar, Delayed logistic equation with treatment function, w: Proceedings of the XVII National Conference on Application of Mathematics in Biology and Medicine, Uniwersytet Warszawski, Warszawa 2011, s. 66–72.zobacz w PBN
- Jan Poleszczuk, Urszula Foryś i Monika Joanna Piotrowska, New approach to anti-angiogenic treatment modelling and control, w: Proceedings of the XVII National Conference on Application of Mathematics in Biology and Medicine, Uniwersytet Warszawski, Warszawa 2011.zobacz w PBN
- Monika Joanna Piotrowska i Urszula Foryś, The nature of Hopf bifurcation for the Gompertz model with delays, Mathematical And Computer Modelling 54 (9-10) 2011, s. 2183–2198.zobacz w PBN
- Piotr Szopa i Monika Joanna Piotrowska, Growth of heterotrophe and autotrophe populations in an isolated terrestrial environment, Applicationes Mathematicae 38 (1) 2011, s. 67–84.zobacz w PBN
- Monika Joanna Piotrowska i Urszula Foryś, Analysis of the Hopf bifurcation for the family of angiogenesis models, Journal Of Mathematical Analysis And Applications 382 (1) 2011, s. 180–203.zobacz w PBN
- Urszula Foryś, Marek Bodnar, Jan Poleszczuk i Monika Joanna Piotrowska (red.), Proceedings of the XVII National Conference on Application of Mathematics in Biology and Medicine, Uniwersytet Warszawski, Warszawa 2011.zobacz w PBN
2010
- Monika Joanna Piotrowska i S.D. Angus, The Onset of Necrosis in a 3D Cellular Automaton Model of EMT6 Multi-Cellular Spheroids, Applicationes Mathematicae 37 (1) 2010, s. 69–88.zobacz w PBN
- Urszula Foryś i Monika Joanna Piotrowska, MGS Immunotherapy: Simplified Model with delays, w: Proceedings of the XVI National Conference on Application of Mathematics in Biology and Medicine, AGH, Kraków 2010.zobacz w PBN
- Marek Bodnar i Monika Joanna Piotrowska, O równaniach różniczkowych z opóźnieniem - teoria i zastosowania, Mathematica Applicanda (matematyka Stosowana). Annales Societatis Mathematicae Polonae Series Iii 11 (52) 2010, s. 17–56.zobacz w PBN
2009
- Piotr Szopa i Monika Joanna Piotrowska, Development of Heterotrophic and Autotrophic Organisms in Isolated Land Environment, w: Proceedings of the fifteenth National Conference on Application of Mathematics in Biology and Medicine, Szczyrk, 15-19 September 2009, Silesian University of Technology, 2009, s. 137–142.zobacz w PBN
- Monika Joanna Piotrowska i S. D. Angus, A Quantitative Cellular Automaton Model of in vitro Multicellular Spheroid Tumour Growth, Journal Of Theoretical Biology 258 2009, s. 165–178.zobacz w PBN
2008
- Monika Joanna Piotrowska, E. Mamontov, A. Peterson i A. Koptyug, A model and simulation for homeorhesis in the motion of a single individual, Mathematical And Computer Modelling 48 (7-8) 2008, s. 1122–1142.zobacz w 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, s. 597–603.zobacz w PBN
- S. Angus i Monika Joanna Piotrowska, Towards a 3D Cellular Automaton Model of Mulicellular Spheroids, w: Proceedings of the XIV National Conference on Application of Mathematics in Biology and Medicine, Wydział Matematyki Informatyki i Mechaniki, Uniwersytet Warszawski, Warszawa 2008, s. 6–11.zobacz w PBN
- Monika Joanna Piotrowska, H. Enderling, Uwe an der Heiden i M. Mackey, Mathematical Modelling of Stem Cells Related to Cancer, w: Cancer and Stem Cells, Nowy 2008.zobacz w PBN
2004
- Urszula Foryś i Monika Joanna Piotrowska, Time delays in solid avascular tumour growth, w: Proceedings of the X national Conference on Application of Mathematics in Biology and Medicine, University of Computer Engineering and Telecomunications, Kielce 2004, s. 43–48.zobacz w PBN