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