Wydział Matematyki, Informatyki i Mechaniki Uniwersytetu Warszawskiego
Publications
Marek Bodnar
2017
- Marek Bodnar and Urszula Foryś, Two models of drug resistance for low grade gliomas: comparison of the models dynamics, in: Proceedings of the XXIII National Conference Applications of Mathematics in Biology and Medicine, Politechnika Śląska, Uniwersytet Warszawski, Gliwice 2017, p. 37–42.see in PBN
- 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
- Emad Attia, Marek Bodnar and Urszula Foryś, Angiogenesis model with Erlang distributed delays, Mathematical Biosciences And Engineering 14 (1) 2017, p. 1–15.see in PBN
- Marek Bodnar, Maria Vela-Perez and Natalia Okińczyc, Mathematical model for path selection by ants between nest and food source, Mathematical Biosciences 285 2017, p. 14–24.see in PBN
- Magdalena Bogdańska, Marek Bodnar, Juan Belmonte-Beitia, Michael Murek, Philippe Schucht, Juergen Beck and Victor Manuel Pérez-García, A mathematical model of low grade gliomas treated with temozolomide and its therapeutical implications, Mathematical Biosciences 288 2017, p. 1–13.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
- Agnieszka Bartłomiejczyk and Marek Bodnar, Analysis of a gene expression model, in: Proceedings of the XXIII National Conference Applications of Mathematics in Biology and Medicine, Politechnika Śląska, Uniwersytet Warszawski, Gliwice 2017, p. 15–22.see in PBN
2016
- Urszula Foryś, Marek Bodnar and Yuri Kogan, Asymptotic dynamics of some t-periodic one-dimensional model with application to prostate cancer immunotherapy, Journal Of Mathematical Biology 73 (4) 2016, p. 867–883.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
- Marek Bodnar and Urszula Foryś, Delays do not cause oscillations in a corrected model of humoral mediated immune response, Applied Mathematics And Computation 289 2016, p. 7–21.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
- 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
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
- Paulina Rowińska and Marek Bodnar, Periodic solutions in a mathematical model of the temperature sex determination with periodic floods, 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. 93–98.see in PBN
- Agnieszka Wiszniewska-Matyszkiel, Marek Bodnar and Fryderyk Mirota, Dynamic Oligopoly with Sticky Prices: Off-Steady-state Analysis, Dynamic Games And Applications 5 (4) 2015, p. 568–598.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
- Marek Bodnar, General model of a cascade of reactions with time delays: global stability analysis, Journal Of Differential Equations 259 (2) 2015, p. 777–795.see in PBN
- Emad Attia, Marek Bodnar and Urszula Foryś, Angiogenesis model with Erlang distributed delay in vessels formation, 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. 9–14.see in PBN
2014
- 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
- Agnieszka Bartłomiejczyk and Marek Bodnar, Modelling gene expression of a self-regulating protein, in: 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, p. 9–14.see in PBN
- Magdalena Bogdańska, Marek Bodnar, Juan Belmonte-Beitia, Michael Murek, Philippe Schucht, Jurgen Beck and Victor M. Perez-Garcia, Mathematical model suggests a way to assess low grade glioma malignancy, in: 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, p. 21–28.see in PBN
- Marek Bodnar, Matematyka małżeństwa, Delta 8 (483) 2014, p. 9–11.see in PBN
- Beata Jackowska-Zduniak, Marek Bodnar and Urszula Foryś, Modified van der Pol equation with delay in a description of the heart action, International Journal Of Applied Mathematics And Computer Science 24 (4) 2014, p. 853–863.see in PBN
- Marek Bodnar, Modele reakcji biochemicznych z opóźnionym argumentem: nieujemność rozwiązań i stabilność oscylacji, in: Metody matematyczne w zastosowaniach, Centrum Zastosowań Matematyki, Politechnika Gdańska, Gdańsk 2014, r. 1, p. 1–20.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
- Beata Jackowska-Zduniak and Marek Bodnar, A ventricular tachycardia and av nodal double response tachycardia in a modified van der Pol equation, in: Proceedings of the XIX National Conference Applications of Mathematics in Biology and Medicine, Gdańsk 2013, p. 90–95.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
- Marek Bodnar and Juan Velazquez, Friction dominated dynamics of interacting particles locally close to a crystallographic lattice, Mathematical Methods In The Applied Sciences 36 (10) 2013, p. 1206–1228.see in PBN
- Marek Bodnar and Beata Zduniak, A ventricular tachycardia and AV nodal double response tachycardia in modified van der Pol equation, in: Proceedings of the XIX National Conference Applications of Mathematics in Biology and Medicine, Gdański Uniwersytet Medyczny, Gdańsk 2013.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
2012
- Marek Bodnar, J. Chrobak and H. Herrero, About a generalized model of lymphoma, Journal Of Mathematical Analysis And Applications 386 (2) 2012, p. 813–829.see in PBN
- Marek Bodnar and Agnieszka Bartłomiejczyk, Stability of delay induced oscillations in gene expression of Hes1 protein model, Nonlinear Analysis-real World Applications 13 (5) 2012, p. 2227–2239.see in PBN
- Natalia Bielczyk, Marek Bodnar and Urszula Foryś, Delay can stabilize: Love affairs dynamics, Applied Mathematics And Computation 219 2012, p. 3923–3937.see in PBN
- Monika Joanna Piotrowska, Urszula Foryś, Marek Bodnar and Jan Poleszczuk, Carcinogenesis, mutations, delay and diffusion, in: Proceedings of the XVIII National Conference Applications of Mathematics in Biology and Medicine, Gdańsk University of Technology, Gdańsk 2012, p. 106–111.see in PBN
2011
- Jacek Miękisz, Jan Poleszczuk, Marek Bodnar and Urszula Foryś, Stochastic Models of Gene Expression with Delayed Degradation, Bulletin Of Mathematical Biology 73 2011, p. 2231–2247.see in PBN
- Marek Bodnar, Urszula Foryś and Jan Poleszczuk, Analysis of biochemical reactions models with delays, Journal Of Mathematical Analysis And Applications 376 (1) 2011, p. 74–83.see in PBN
- Marek Bodnar, Urszula Foryś and Jan Poleszczuk, Negativity of delayed induced oscillations in a simple linear DDE, Applied Mathematics Letters 24 (6) 2011, p. 982–986.see in PBN
- Jan Poleszczuk, Marek Bodnar and Urszula Foryś, New approach to modeling of antiangiogenic treatment on the basis of Hahnfeldt et al. model, Mathematical Biosciences And Engineering 8 (2) 2011, p. 591–603.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
- 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
2010
- Mariusz Ziółko, Marek Bodnar and Ekaterina Kutafina (eds.), 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
- Marek Bodnar and A. Bartłomiejczyk, Delay induced oscillations in gene expression of Hes1 protein model, in: Proceedings of the XVI National Conference on Application of Mathematics in Biology and Medicine, AGH, Kraków 2010, p. 18–23.see in PBN
- Natalia Bielczyk, Marek Bodnar, Urszula Foryś and Jan Poleszczuk, Delay can stabilise: love affairs dynamics, in: Proceedings of the XVI National Conference on Application of Mathematics in Biology and Medicine, AGH, Kraków 2010, p. 12–17.see in PBN
2009
- Marek Bodnar and Urszula Foryś, Angiogenesis model with carrying capacity depending on vessel density, Journal Of Biological Systems 17 (1) 2009, p. 1–25.see in PBN
- Marek Bodnar and Urszula Foryś, A model of immune system with time-dependent immune reactivity, Nonlinear Analysis-theory Methods & Applications 70 (2) 2009, p. 1049–1058.see in PBN
- Marek Bodnar and Urszula Foryś, Influence of time delays on the hahnfeldt et al. angiogenesis model dynamics, Applicationes Mathematicae 36 (3) 2009, p. 251–262.see in PBN
- Marek Bodnar and Urszula Foryś, Modelling of an immune reaction under the influence of interleukin, in: Proceedings of the XV National Conference Application of Mathematics in Biology and Medicine, Instytut Automatyki Politechnika Śląska, Gliwice 2009, p. 13–19.see in PBN
- Marek Bodnar, Urszula Foryś and Zuzanna Szymańska, Model of AIDS-related tumour with time delay, Applicationes Mathematicae 36 (3) 2009, p. 263–278.see in PBN
2008
- Marek Bodnar, Urszula Foryś and Zuzanna Szymańska, Model of AIDS-related tumour with time delay, 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. 12–17.see in PBN
- Marek Bodnar, Zbiór zadań z matematyki dla biologów, Wydawnictwa UW, Warszawa 2008.see in PBN
- Marek Bodnar and Urszula Foryś, Global stability and Hopf bifurcation for a general class of delay differential equations, Mathematical Methods In The Applied Sciences 31 (10) 2008, p. 1197–1207.see in PBN
- Marek Bodnar and Urszula Foryś (eds.), Proceedings of the XIV National Conference on Application of Mathematics in Biology and Medicine, Wydział Matematyki Informatyki i Mechaniki, Uniwersytet Warszawski, Warszawa 2008.see in PBN
2007
- Marek Bodnar, Matematyka a krokodyle, proporcja płci i przetrwania gatunku, Delta 12 (403) 2007, p. 10–11.see in PBN
- Marek Bodnar and Urszula Foryś, Three types of simple DDE's describing tumor growth, Journal Of Biological Systems 15 (4) 2007, p. 1–19.see in PBN
- Marek Bodnar and Urszula Foryś, Hahnfeldt angiogenesis model with time delays, in: Proceedings of the XIII National Conference on Application of Mathematics in Biology and Medicine, Serpelice 2007, p. 19–24.see in PBN
2006
- Marek Bodnar and Urszula Foryś, A model of immune system with time-depended immune reactivity, in: Proceedings XII Krajowej Konferencji Zastosowań Matematyki w Biologii i Medycynie, University of Computer Engineering and Telecomunications in Kielce, Kielce 2006.see in PBN
- Marek Bodnar and Juan Jose Lopez Velazquez, An integro-differential equation arising as a limit of individual cell-based models, Journal Of Differential Equations 222 (2) 2006, p. 341–380.see in PBN
2001
- Marek Bodnar, On some integro-differential models with delay in population dynamics., in: Krajowa Konferencja Zastosowań Matematyki w Biologii i Medycynie, Zawoja 2001, p. 21–26.see in PBN
1999
- Marek Bodnar and Urszula Foryś, Forest-pest interaction dynamics, in: Proceedings of the V National Conference Application of Mathematics to Biology and Medicine, Instytut Elektroniki AGH, Kraków 1999, p. 15–20.see in PBN
1998
- Marek Bodnar and Urszula Foryś, A model of the immune system with stimulation depending on time, in: Proceedings of the IV National Conference Application of Mathematics to Biology and Medicine, Wydział Matematyki Informatyki i Mechaniki, Uniwersytet Warszawski, Warszawa 1998, p. 12–17.see in PBN
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