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
  • 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, No. 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, No. 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, No. 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, No. 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, No. 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, No. 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 (2018), No. 69, 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 (2015), no. 4, 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 (2014), No. 3, 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 (2012), No. 228, pp. 1–28 (JCR).
LIST OF OTHER PUBLICATIONS
  • 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, DOI: 10.1007/978-3-319-12577-0-3.
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.