Publications
Published Articles (after referee process):
H. Xia, J. Horn, M.J. Piotrowska, K. Sakowski, A. Karch, M. Kretzschmar, R. Mikolajczyk: 'Regional patient transfer patterns matter for the spread of hospital-acquired pathogens' Scientific Reports, 14, 2024, Article number: 929, DOI.
A. Bartłomiejczyk, M. Bodnar, M.U. Bogdańska, M.J. Piotrowska: 'Travelling waves for low-grade glioma growth and response to chemotherapy model', International Journal of Applied Mathematics and Computer Science (AMCS), 33(4), 2023, 569–581, DOI.
P. Brachaczek, A.Lonc, M.E. Kretzschmar, R.T. Mikolajczyk, J. Horn, A. Karch, K. Sakowski, M.J. Piotrowska: 'Transmission of drug-resistant bacteria in a hospital-community model stratified by patient risk', Scientific Reports, 13, Article number: 18593, 2023, DOI.
M. Bodnar, U. Foryś, M.J. Piotrowska, M. Bodzioch, J. A. Romero-Rosales, J. Belmonte-Beitia: 'On the analysis of a mathematical model of CAR-T cells therapy for glioblastoma: Insights from a mathematical model', International Journal of Applied Mathematics and Computer Science (AMCS), 33(3), 2023, 379–394, DOI.
M.J. Piotrowska, A. Puchalska, K. Sakowski: 'On the network suppression of the pathogen spread within the healthcare system', Applied Mathematics and Computation, 457, 2023, 128169, DOI. For a personalized URL providing 50 days' (till Aug. 20, 2023) free access to the article click here.
M.J. Piotrowska, K. Sakowski, J. Horn R. Mikolajczyk, A. 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, P109.E1-109.E7, published on-line: August 11, 2022, DOI. For a personalized URL providing 50 days' (till Oct. 31, 2022) free access to the article click here.
H. Xia H, J. Horn, M.J. Piotrowska, K. Sakowski, A. Karch A, H. Tahir, M.E. Kretzschmar, R.T. Mikolajczyk: 'Effects of incomplete inter-hospital network data on the assessment of transmission dynamics of hospital-acquired infections', PLOS Computational Biology, 17(5), 2021, e1008941, DOI.
H. Tahir, L.E. López Cortés, A. Kola, D. Yahav, A. Karch, H. Xia, J. Horn, K. Sakowski, M.J. Piotrowska, L. Leibovici, R.T. Mikolajczyk, M.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, e1008600, DOI.
M.J. Piotrowska, K. Sakowski, A. Karch, H. Tahir, J. Horn, M.E. Kretzschmar, R.T. Mikolajczyk: 'Modelling pathogen spread in a healthcare network: indirect patient movements', PLOS Computational Biology, 16 (11), 2020, e1008442, DOI.
M.J. Piotrowska, K. 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, Dec. 2020, 100408, DOI.
U. Foryś, N. Jankowska, K. Cytlak, M.J. Piotrowska: 'Time delays in dyadic interactions on the example of relations between optimists and pessimists', Mathematical Methods in the Applied Sciences, 43 (18), 2020, 10593-10618DOI.
M. Bodnar, M.J. Piotrowska, M.U. Bogdańska: 'Mathematical Analysis of a Generalised Model of Chemotherapy for Low Grade Gliomas', Discrete and Continuous Dynamical Systems-Series B, 24 (5), 2019, 2149-2167, DOI.
A. Lonc, M.J. Piotrowska, K. Sakowski: 'Analysis of the AOK Plus data and derived hospital network', Mathematica Applicanda, 47(1), 2019, 127-139, DOI.
M.J. Piotrowska, A. Bartlomiejczyk, M. Bodnar: 'Mathematical analysis of a generalised p53-Mdm2 protein gene expression model', Applied Mathematics and Computation, 328(1), 2018, 26–44, DOI. 50 days' (till March 28, 2018) free access to the article.
M.J. Piotrowska, J. Górecka, U. Foryś: 'The role of optimism and pessimism in the dynamics of emotional states',
Discrete and Continuous Dynamical Systems-Series B, 23(1), 2018, 401-423, DOI.
M.J. Piotrowska, M. 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, 389-415,
DOI, free access valid until August 11, 2017;
M.U. Bogdańska, M. Bodnar, M.J. Piotrowska, M. Murek, P. Schucht, J. Beck, A. Martinez-Gonzalez, V.M. Perez-Garcia:
'A mathematical model describes the malignant transformation of low grade gliomas: Prognostic implications',
PLoS ONE, 12(8), 2017, e0179999, DOI.
M. Bodnar, P. Guerrero, R. Perez-Carrasco, M.J. Piotrowska: 'Deterministic and Stochastic Study for a Microscopic Angiogenesis Model: Applications to the Lewis Lung Carcinoma',
PLoS ONE, 11(5), 2016, e0155553, DOI.
M.J. Piotrowska: 'An immune system--tumour interactions model with discrete
time delay: model analysis and validation',
Communications in Nonlinear Science and Numerical Simulation, 34, 2016, 185–198, DOI,
free access valid until January 5, 2016;
M. Bodnar, M.J. 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, 124–142, DOI;
S.D. Angus, M.J. Piotrowska: 'A Matter of Timing: Identifying Significant Multi-Dose Radiotherapy Improvements by Numerical Simulation and Genetic Algorithm Search',
PLoS ONE, 9(12), 2014, e114098, DOI; accompanying material for the study: full code and all data that stands behind the study, with examples
(alternative server DOI);
J. Poleszczuk, M.J. Piotrowska, U.Foryś: 'Optimal protocols for the anti-VEGF tumor
treatment', Mathematical Modeling of Natural Phenomena, 9(4), 2014, 204–215, DOI;
M.J. Piotrowska, M. Bodnar, U.Foryś: 'Tractable model of malignant gliomas immunotherapy with discrete time
delays', Mathematical Population Studies: An International Journal of
Mathematical Demography, 21(3), 2014, 127-145, DOI; (retained as '2015 FEATURED ARTICLE')
M.J. Piotrowska, M. Bodnar: 'Logistic Equation with
Treatment Function and Discrete Delays',
Mathematical Population Studies: An International Journal of
Mathematical Demography, 21(3), 2014, 166-183, DOI;
U.Foryś, M.J. Piotrowska: 'Analysis of the Hopf Bifurcation for the Family of
Angiogenesis Models II: the Case of two Nonzero Unequal Delays', 220, 2013, 277–295,
Applied Mathematics and Computation; DOI;
M.J. Piotrowska, U.Foryś, M. Bodnar, J. Poleszczuk: 'A simple model of carcinogenic mutations with time delay and
diffusion', 10(3), 2013, 861-872, Mathematical Biosciences and Engineering;
DOI;
M. Bodnar, M.J. Piotrowska, U.Foryś: 'Gompertz model with delays and treatment: mathematical analysis', 10(3), 2013, 551-563,
Mathematical Biosciences and Engineering;
DOI;
M. Bodnar, U.Foryś, M.J. Piotrowska: 'Logistic type equations with discrete delay and quasi-periodic suppression rate',
26 (6), 2013, 607—611, Applied Mathematics Letters;
DOI;
S.D. Angus, M.J. Piotrowska: 'A numerical model of EMT6/Ro spheroid dynamics
under irradiation: calibration & estimation of the underlying irradiation-induced cell survival probability',
320, 2013, 23—32, Journal of Theoretical Biology, DOI;
M. Bodnar, M.J. Piotrowska, U.Foryś: 'Existence and stability of oscillating solutions
for a class of delay differential equations', 14 (3), 2013, 1780–1794,
Nonlinear Analysis: Real World Applications, DOI;
M.J. Piotrowska, M. Bodnar, J. Poleszczuk, U.Foryś: 'Mathematical modelling of immune reaction against gliomas:
sensitivity analysis and influence of delays', 14 (3), 2013, 1601–1620, Nonlinear Analysis: Real World Applications,
DOI;
M. Bodnar, M.J. Piotrowska, U.Foryś, E. Nizińska : 'Model of tumour angiogenesis -- analysis of stability with respect to delays',
10(1), 2013, 19–35, Mathematical Biosciences and Engineering,
DOI;
M.J. Piotrowska, U. Foryś: 'The nature of Hopf bifurcation for the Gompertz model with delays',
Mathematical and Computer Modelling, 54 (9-10), 2011, 2183-2198, DOI;
M.J. Piotrowska, U. Foryś: 'Analysis of the Hopf bifurcation for the Family of Angiogenesis Models',
Journal of Mathematical Analysis and Applications, 382, 2011, 180–203, DOI;
P. Szopa, M.J. Piotrowska: 'Growth of Heterotrophe and Autotrophe Populations in the Isolated Terrestrial Environment',
Applicationes Mathematicae, 38, 2011, 67-84, DOI;
M. Bodnar, M.J. Piotrowska: 'O równaniach różniczkowych z opóźnieniem—teoria i zastosowania', (in Polish),
Mathematica Applicanda - Annales Societatis Mathematicae Polonae (Matematyka Stosowana), 11/52, 2010, 18-56;
S.D. Angus, M.J. Piotrowska: 'The Onset of Necrosis in a 3D Cellular Automaton Model of EMT6
Multi-Cellular Spheroids', Applicationes Mathematicae, 37(1), 2010, 69-88, DOI;
M.J. Piotrowska, S.D. Angus: 'A Quantitative Cellular Automaton Model of in vitro Multicellular Spheroid Tumour Growth', Journal of Theoretical Biology, 258, 2009, 165-178,
DOI and DOI;
M.J. Piotrowska: 'Hopf Bifurcation in a Solid Avascular Tumour Growth Model with two Discrete Delays' Special issue: Towards a Mathematical Description of Cancer: Analytical, Numerical and Modelling Aspects, Mathematical and Computer Modelling, 47, 2008, 597-603. DOI;
M.J. Piotrowska: 'A Remark on the ODE with two Discrete Delays', Journal of Mathematical Analysis and Applications, 329, 2007, 664-676, DOI;
M.J. Piotrowska, D. Widera, B. Kaltschmidt, Uwe an der Heiden and C. Kaltschmidt 'Mathematical model for NF-kappaB driven proliferation of adult neural stem cells', Cell Proliferation, 39(6), 2006, 441-455, DOI;
M.J. Piotrowska: 'Activator - Inhibitor Systems with Delay and Pattern Formation' Mathematical and Computer Modelling, 42, 2005, 123-131, DOI;
Monograph (after referee process):
M.J. Piotrowska, M. Bodnar: 'Różne oblicza równania logistycznego', Metody matematyczne w zastosowaniach tom 3, 187-209, 2015, in Polish;
Preface:
A. Friedman, M. Lachowicz, U. Ledzewicz, M.J. Piotrowska, Z. Szymańska: 'Micro and Macro Systems in Life Sciences' (Preface), Mathematical Biosciences and Engineering, 14(1), 2017, i-i, DOI;
M.J. Piotrowska, U.Foryś: 'Delay Differential Equations in Bio-Populations' (Preface), Mathematical Population Studies: An International Journal of
Mathematical Demography, 21(3), 2014, 125-126, DOI;
Papers in international conference proceedings:
M.J. Piotrowska, M. Bodnar: 'Tumour–immune system interaction model with Erlang distributed delays', Proceedings of the 16th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2016, 4–8 July, 2016, 999-1009, ISBN: 13-978-84-608-6082-2 and ISSN: 2312-0177.
Papers in national conference proceedings (after referee process):
M. Bogdańska, M. Bodnar, M.J. 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, 11-15 September 2017, 43-50, Politechnika Śląska, Uniwersytet Warszawski.
M. Bogdańska, M. Bodnar, M.J. Piotrowska: 'Mathematical model of malignant transformation of gliomas', Proceedings of the XXII National Conference on Applications of Mathematics in Biology and Medicine , Sandomierz, 5-9 September 2016, 19-23, Institute of Physics, Jan Kochanowski University.
M. Bogdańska, M. Bodnar, M.J. Piotrowska: 'Modeling chemotherapy for low grade gliomas', Proceedings of the XXI National Conference on Applications of Mathematics in Biology and Medicine , Regietów, 22-26 September 2015, 33-38, Institute of Applied Mathematics and Mechanics, University of Warsaw.
A. Bartłomiejczyk, M. Bodnar, M.J. Piotrowska: 'Analysis of the p53 protein gene expression model', Proceedings of the XXI National Conference on Applications of Mathematics in Biology and Medicine , Regietów, 22-26 September 2015, 21-26, Institute of Applied Mathematics and Mechanics, University of Warsaw.
J. Górecka, M.J. Piotrowska: 'Mathematical Model of the emotional state of communicating people', Proceedings of the Nineteenth National Conference on Applications of Mathematics in Biology and Medicine, Jastrzębia Góra, 16–20 September 2013, 42-47, Medical University of Gdańsk;
M.J. Piotrowska, U.Foryś, M. Bodnar, J. Poleszczuk: 'Carcinogenesis, mutations, delay and diffusion', Proceedings of the Eighteenth National Conference on Applications of Mathematics in Biology and Medicine, Krynica Morska, 23–27 September 2012, 106-111, Gdańsk University of Technology;
M.J. Piotrowska, U.Foryś, M. Bodnar: 'Delayed logistic equation with treatment function', Proceedings of the Seventeenth National Conference on Applications of Mathematics in Biology and Medicine, Zakopane-Kościelisko, 1–6 September 2011, 66-72, University of Warsaw;
J. Poleszczuk, U.Foryś, M.J. Piotrowska: 'New approach to
anti-angiogenic treatment modelling and control', Proceedings of the
Seventeenth National Conference on Applications of Mathematics in Biology and Medicine, Zakopane-Kościelisko, 1–6 September 2011, 73-78, University of Warsaw;
U. Foryś, M.J. Piotrowska: 'MGS Immunotherapy: Simplified Model with delays', Proceedings of the XVI National Conference on Applications of Mathematics in Biology and Medicine,
Krynica Górska, 14-18 September 2010, 41-46, AGH, Kraków;
P. Szopa, M.J. Piotrowska: 'Development of Heterotrophic and Autotrophic Organisms in Isolated Land Environment' Proceedings of the fifteenth National Conference on Applications of Mathematics in Biology and Medicine,
Szczyrk, 15-19 September 2009, 137-142, Institute of Automatic Control, Silesian University of Technology, Gliwice;
S.D. Angus, M.J. Piotrowska: 'Towards a 3d Cellular Automaton Model of Multicellular Spheroids',
Proceedings of the Fourteenth National Conference on Applications of Mathematics in Biology and Medicine,
Leszno, 17-20 September 2008; 6-11, WMIM UW, 2008;
U. Foryś, M.J. Piotrowska: 'Time Delays in Solid Avascular Tumour Growth' Proceedings of the
Tenth National Conference on Applications of Mathematics in Biology and Medicine, Swięty Krzyż,
22-25 September 2004; 22-25, University of Computer Engineering and Telecommunications in Kielce;
Preprints:
W. Ozimek, R. Banaś, P. Gora, S.D. Angus, M.J. Piotrowska: Identifying Promising Candidate Radiotherapy Protocols via GPU-GA in-silico, 2023. arXiv:2303.08123; DOI;
M.J. Piotrowska, A. Puchalska, K. Sakowski: On network suppression of multidrug-resistant pathogen spread. Authorea. October 17, 2021. DOI;
M.J. Piotrowska, K. Sakowski, A. Karch, H. Tahir, J. Horn, M.E. Kretzschmar, R.T. Mikolajczyk,
U. Foryś, M.J. Piotrowska: ' Angiogenesis Models with Discrete Delays: Part I', University of Warsaw preprint, No. 199, 2010;
Book chapters:
M.J. Piotrowska, H. Enderling, U. an der Heiden, M.C. Mackey: 'Mathematical Modelling of Stem Cells Related to Cancer',
Cancer and Stem Cells, Eds.: T. Dittmar, K. S. Zaenker, NovaScience Publisher, Hauppauge, NY, USA, 2008 pp. 11-36;
Others:
J. Poleszczuk, U. Foryś, M. Bodnar, M.J. Piotrowska: Cancer as a Killer Tsunami, in The Art of Theoretical Biology (Eds.: Franziska Matthäus, Sebastian Matthäus, Sarah Harris, Thomas Hillen), 2020, Springer International Publishing, eBook ISBN: 978-3-030-33471-0, DOI: 10.1007/978-3-030-33471-0, Hardcover ISBN: 978-3-030-33470-3;M.U. Bogdańska M. Bodnar, M.J. Piotrowska, M. Murek, P. Schucht, J. Beck, A. Martinez-Gonzalez, V.M. Perez-Garcia: 'P10.02 Malignant transformation of low-grade gliomas. Prognostic implications from mathematical model', Neuro Oncol, 19 (suppl_3), 2017, iii85, DOI;
Interview with Monika J. Piotrowska, "Matematyka vs bakterie" (in Polish), published on portal Rzeczo.pl, 2020.
Arxiv reports:
M.J. Piotrowska, J. Rymuza, K. Sakowski,A. Lonc, M.J. Piotrowska, K. Sakowski,
M.J. Piotrowska, K. Sakowski,