Research

RESEARCH PROJECTS
  • Polish National Science Centre Grant No. 2016/23/N/ST1/01178 entitled "Mathematical modelling of drug resistance in anticancer therapies" (Principal investigator).
LIST OF PUBLICATIONS IN REFEREED JOURNALS
  • Bodnar M., Piotrowska M.J., Bodzioch M., Belmonte-Beitia J., Foryś U., Dual CAR-T cell therapy for glioblastoma: strategies to cure tumour diseases based on a mathematical model, Nonlinear Dynamics, 2024 (JCR).
  • Bodzioch M., Belmonte-Beitia J., Foryś U., Asymptotic dynamics and optimal treatment for a model of tumour resistance to chemotherapy, Applied Mathematical Modelling, Vol. 135, 2024, 620-639, doi: 10.1016/j.apm.2024.07.008 (JCR).
  • Bodzioch M., Gradient Method for Solving Singular Optimal Control Problems, Computational Science – ICCS 2024. ICCS 2024. Lecture Notes in Computer Science, Vol. 14836, 2024, 135-149, doi: 10.1007/978-3-031-63775-9_10.
  • Garcia Otero J., Bodzioch M., Belmonte-Beitia J., On the Dynamics and Optimal Control of a Mathematical Model of Neuroblastoma and its Treatment: Insights from a Mathematical Model, Mathematical Models and Methods in Applied Sciences, Vol. 34(07), 2024, 1235-1278, doi: 10.1142/S0218202524500210 (JCR).
  • Bodnar M., Foryś U., Piotrowska M.J., Bodzioch M., Romero-Rosales J.A., Belmonte-Beitia J., 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, Vol. 33(3), 2023, 379-394, doi: 10.34768/amcs-2023-0027 (JCR).
  • Bodzioch M., Bajger P., Foryś U., Competition between populations: preventing domination of resistant population using optimal control, Applied Mathematical Modelling, Vol. 114, 2023, pp. 697-693, doi: 10.1016/j.apm.2022.10.016 (JCR).
  • Choiński M., Bodzioch M., Foryś U., A non-standard discretized SIS model of epidemics, Mathematical Biosciences and Engineering, Vol. 19(1), 2022, pp. 115-133, doi: 10.3934/mbe.2022006 (JCR).
  • Bodzioch M., Bajger P., Foryś U., Angiogenesis and chemotherapy resistance: optimizing chemotherapy scheduling using mathematical modeling, Journal of Cancer Research and Clinical Oncology, Vol. 147(8), 2021, pp. 2281-2299,  doi: 10.1007/s00432-021-03657-9 (JCR).
  • Bajger P., Bodzioch M., Foryś U., Numerical optimisation of chemotherapy dosage under antiangiogenic treatment in the presence of drug resistance, Mathematical Methods in the Applied Sciences, Vol. 43, 2020, pp. 10671-10689, doi: 10.1002/mma.6958 (JCR).
  • Choiński M., Bodzioch M., Foryś U., Simple criss-cross model of epidemic for heterogeneous populations, Communications in Nonlinear Science and Numerical Simulation, Vol. 79, 2019, doi: 10.1016/j.cnsns.2019.104920 (JCR).
  • Bodzioch M., Choiński M., Simple discrete SIS criss-cross model of tuberculosis in heterogeneous population of homeless and non-homeless people, Mathematica Applicanda, Vol. 47(1), 2019, pp. 103-115, doi: 10.14708/ma.v47i1.6496.
  • Bodzioch M., Choiński M., Foryś U., SIS criss-cross model of tuberculosis in heterogeneous population, Discrete and Continuous Dynamical Systems Series B, Vol. 24(5), 2019, pp. 2169-2188, doi: 10.3934/dcdsb.2019089 (JCR).
  • Bajger P., Bodzioch M., Foryś U., Singularity of controls in a simple model of acquired chemotherapy resistance, Discrete and Continuous Dynamical Systems Series B, Vol. 24(5), 2019, pp. 2039-2052, doi: 10.3934/dcdsb.2019083 (JCR).
  • Bajger P., Bodzioch M., Mathematical model of endothelial cell proliferation and maturation, Mathematica Applicanda, Vol. 46(1), 2018, pp. 3-12, doi: 10.14708/ma.v46i1.6383.
  • Bodzioch M., Choiński M., Foryś U., Analysis of global dynamics for HIV-infection of CD4+T cells and its treatment, Mathematica Applicanda, Vol. 46(1), 2018, pp. 35-48, doi: 10.14708/ma.v46i1.6369.
  • Bodzioch M., Borsuk M., Jankowski S., Existence of the first eigenvalue of the eigenvalue problem for the Laplace-Beltrami operator on the unit sphere, Studia Scient. Mathem. Hung., Vol. 55(3), 2018, pp. 374-382, doi: 10.1556/012.2018.55.3.1390 (JCR).
  • Bodzioch M., Borsuk M., Oblique derivative problem for elliptic second-order semi-linear equations in a domain with a conical boundary point, Electronic Journal of Differential Equations, Vol. 2018(69), 2018, pp. 1-20 (JCR).
  • Bodzioch M., Wiśniewski D., Żyjewski K., Comments on behaviour of solutions of elliptic quasi-linear problems in a neighbourhood of boundary singularities, Open Mathematics, Vol. 15, 2017, pp. 667–678, doi: 10.1515/math-2017-0033 (JCR).
  • Wiśniewski D., Bodzioch M., An integro-differential inequality related to the smallest positive eigenvalue of p(x)-Laplacian Dirichlet problem, Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, Vol. 15, 2016, pp. 27-36.
  • Romaszko J., Siemaszko A., Bodzioch M., Buciński A., Doboszyńska A., Active Case Finding Among Homeless People as a Means of Reducing the Incidence of Pulmonary Tuberculosis in General Population, Advances in Experimental Medicine and Biology, Vol. 911, 2016, pp. 67-76, doi: 10.1007/5584_2016_225 (JCR).
  • Bodzioch M., Borsuk M., Behavior of strong solutions to the degenerate oblique derivative problem for elliptic quasi-linear equations in a neighborhood of a boundary conical point, Complex Variables and Elliptic Equations, Vol. 60(4), 2015, pp. 510-528, doi: 10.1080/17476933.2014.944867 (JCR).
  • Bodzioch M., Borsuk M., On the degenerate oblique derivative problem for elliptic second-order equation in a domain with boundary conical point, Complex Variables and Elliptic Equations, Vol. 59(3), 2014, pp. 324–354, doi: 10.1080/17476933.2012.718339 (JCR).
  • Bodzioch M., Oblique derivative problem for linear second-order elliptic equations with the degeneration in a 3-dimensional bounded domain with the boundary conical point, Electronic Journal of Differential Equations, Vol. 2012(228), 2012, pp. 1–28 (JCR).
LIST OF OTHER PUBLICATIONS
  • Bodzioch M., Optimal chemotherapy control problem for a mathematical model of tumour growth under angiogenic signaling, Proceedings of the European Simulation and Modelling Conference ESM 2022, pp. 150-155.
  • Bodzioch M., Optimal control applied to sis-type cross epidemic model for heterogeneous populations, Proceedings of the European Simulation and Modelling Conference ESM 2022, pp. 207-211.
  • Bodzioch M., Modelling of Tumour Chemotherapy Resistance: the Norton-Simon Hypothesis versus Log-Kill Response to Treatment, Proceedings of the European Simulation and Modelling Conference ESM 2021, pp. 277-281.
  • Bodzioch M., Choiński M., Optimal Control of HAART and IL-2 Immunotherapy in CD4+T Cells Response for HIV infection, Proceedings of the European Simulation and Modelling Conference ESM 2021, pp. 272-276.
  • Choiński M., Bodzioch M., Foryś U., Flip Bifurcation in a Discrete Two-Dimensional System, Proceedings of the European Simulation and Modelling Conference ESM 2021, pp. 262-264.
  • Bajger P., Bodzioch M., Log-kill chemotherapy response versus the Norton-Simon hypothesis, Proceedings of the Twenty-Third National Conference on Applications of Mathematics in Biology and Medicine (2017), pp. 9-14.
  • Bajger P., Bodzioch M., Hahnfeldt’s et al. model adapted for heterogenous tumours, Proceedings of the Twenty-Second National Conference on Applications of Mathematics in Biology and Medicine (2016), pp. 13-18.
  • Bajger P., Bodzioch M., Foryś U., Role of Cell Competition in Acquired Chemotherapy Resistance, Proceedings of the 16th International Conference on Computational and Mathematical Methods in Science and Engineering, Vol. I (2016), pp. 132-141.
  • Bodzioch M., Siemaszko A., The influence of anti-tuberculous prophylaxis among homeless people on decrease of incidence of tuberculosis, Proceedings of the Twenty-First National Conference on Applications of Mathematics in Biology and Medicine (2015), pp. 27-32.
  • Bodzioch M., Borsuk M., The degenerate second-order elliptic oblique derivative problem in a domain with conical boundary point, Current Trends in Analysis and Its Applications, Trends in Mathematics 2015, pp. 11-18.
CONFERENCES ATTENDED
  • Conference "Mathematical Methods and Models in Biosciences", Sofia, Bulgaria, 24 - 30.06.2018 (oral presentation).
  • Conference "Algebraic and geometric methods of analysis", Odessa, Ukraine, 30.05 - 04.06.2018 (oral presentation).
  • Conference "8th International Conference on Differential and Functional Differential Equations", Moscow, Russia, 13 - 20.08.2017 (oral presentation).
  • Conference "New Horizons in Optimal Control 2017", Porto, Portugal, 3 - 5.07.2017.
  • Conference "International scientific conference Differential-functional Equations and their Application", Chernivtsi, Ukraine, 28 - 30.09.2016 (oral presentation).
  • Conference "International Conference on Differential Equations Dedicated to the 110th Anniversary of Ya.B. Lopatynsky", Lviv, Ukraine, 20 - 24.09.2016 (oral presentation).
  • Conference "The 7th Forum of Polish Mathematicians", Olsztyn, Poland 12 - 16.09.2016 (organizing committee, oral presentation).
  • Conference "The 22nd National Conference on Applications of Mathematics in Biology and Medicine", Sandomierz, Poland, 5 - 9.09.2016 (co-author of oral presentation).
  • Confernece "10th European Conference on Mathematical and Theoretical Biology", Nottingham, United Kingdom, 11 - 15.07.2016 (poster).
  • Conference "The 10th Forum of Partial Differential Equations", Będlewo, Poland, 19 - 24.06.2016.
  • Workshop "Nonlocal Aspects in Mathematical Biology", Będlewo, Poland, 26 - 30.01.2016.
  • Conference "11th International Conference Advances in Pneumology", Cologne, Germany, 6 - 7.11.2015 (co-author of oral presentation).
  • Workshop "Workshop on Analysis and PDE", Hannover, Germany, 29.09 - 1.10.2015 (poster).
  • Conference "21st National Conference on Applications of Mathematics in Biology and Medicine", Regietów, Poland, 22 - 26.09.2015 (oral presentation).
  • Conference "Equadiff 2015", Lyon, France, 6 - 10.07.2015 (poster).
  • Conference "The 2015 AMMCS-CAIMS Congress", Waterloo, Ontario, Canada, 7 - 12.06.2015 (oral presentation).
  • Conference "International Conference on Differential & Difference Equations and Applications 2015", Amadora, Portugal, 18 - 22.05.2015 (oral presentation).
  • Conference "Spring of Differential Equations in Gdańsk", Gdańsk, Poland, 18 - 21.03.2015 (poster).
  • Conference "The 9th Forum of Partial Differential Equations", Będlewo, Poland, 1 - 5.09.2014 (oral presentation).
  • Conference "The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications ", Madrid, Spain, 7 - 11.07.2014 (oral presentation).
  • Conference "The 5th Visegrad Conference on Dynamical Systems", Olsztyn, Poland, 2 - 6.09.2013 (organizing committee).
  • Conference "9th International ISAAC Congress", Cracow, Poland, 4 - 10.08.2013 (oral presentation).
  • Conference "The 18th National Conference on Applications of Mathematics in Biology and Medicine", Krynica Morska, Poland, 23 - 27.09.2012.
  • Summer school "15th International Workshop for Young Mathematicians – Functional Analysis", Cracow, Poland, 8 - 14.07.2012.
  • Conference "The 8th Forum of Partial Differential Equations", Będlewo, Poland, 17 - 22.06.2012 (poster).
  • Workshop "The 3rd Gdansk Workshop on Stochastic Modeling in Biology, Economics, Medicine and Technology", Gdańsk, Poland, 4 - 5.06.2012.
  • Summer school "Bihamiltonian Geometry and Integrable Systems", Będlewo, Poland, 28.08 - 2.09.2011.
  • Workshop "The 1st Gdańsk Workshop on Stochastic Modeling in Biology, Economics, Medicine and Technology", Gdańsk, Poland, 10 - 11.06.2010.
INTERNSHIPS
  • Postdoc position at the Faculty of Mathematics, Informatics and Mechanics of the University of Warsaw, 01.03.2019 - 30.09.2019.
  • Postdoc position at the Faculty of Mathematics, Informatics and Mechanics of the University of Warsaw, 19.02.2018 - 30.09.2018.
  • PhD internship at the Faculty of Mathematics, Informatics and Mechanics of the University of Warsaw, 15.02.2016 - 15.06.2016.
  • PhD internship at the Faculty of Mathematics, Informatics and Mechanics of the University of Warsaw, 01.10.2015 - 31.01.2016.