Publications:
DebiÊc, T., Gwiazda, P., Miasojedow, B., Szymańska, Z., "Stability of solutions of the porous medium equation with growth with respect to the diffusion exponent" arXiv preprint arXiv:2403.19079, 2024;
Szymańska, Z., Lachowicz, M., Sfakianakis, N., Chaplain, M.A.J. "Mathematical modelling of cancer invasion: Phenotypic transitioning provides insight into multifocal foci formation", J. Comput. Sci., 75:102175, 2024;
Szymańska, Z., Skrzeczkowski, J., Miasojedow, B., Gwiazda, P. "Bayesian inference of a non-local proliferation model", R. Soc. Open Sci. 8(11), 211279, 2021;
Gwiazda, P., Miasojedow, B., Skrzeczkowski, J., Szymańska, Z., "Convergence of the EBT method for a non-local model of cell proliferation with discontinuous interaction kernel", IMA J. Numer. Anal. 43(1), 590-626, 2023;
Carrillo, J.A., Parisot, M., Szymańska, Z., "Mathematical Modelling of Collagen Fibers Rearrangement During the Tendon Healing Process", Kinet. Relat. Models, 14(2):283-301, 2021;
Dębowski, M., Szymańska, Z., Kubiak, J. Z., Lachowicz, M., "Mathematical model explaining the role of CDC6 in the diauxic growth of CDK1 activity during the M-phase of the cell cycle", Cells, 8(12):1537, 2019;
Dudziuk, G., Wronowska, W., Gambin, A., Szymańska, Z., Rybiński, M., "Biologically sound formal model of Hsp70 heat induction", J. Theor. Biol., 478:74-101, 2019;
Dębowski, M., Lachowicz, M., Szymańska, Z., "Microscopic Description of DNA Thermal Denaturation", Appl. Math. Comput., 361: 47-60, 2019;
Dudziuk, G., Lachowicz, M., Leszczyński, H., Szymańska, Z., "A Simple Model of Collagen Remodelling", Discrete Continuous Dyn Syst Ser B, 24(5):2205-2217, 2019;
Szymańska, Z., Cytowski, M., Mitchell, E., Macnamara, C.K., Chaplain, M.A.J., "Computational modelling of cancer growth and invasion: Modelling at multiple scales and multiscale modelling"; Bull. Math. Biol., 805:1366-1403, 2018;
Cytowski, M., Szymańska, Z., Umiński, P., Andrejczuk, G., Raszkowski, K., "Implementation of an Agent-Based Parallel Tissue Modelling Framework for the Intel MIC Architecture", Sci. Program., 2017, 1-11, 2017;
Friedman, A., Lachowicz, M., Ledzewicz, U., Piotrowska, M. J., Szymańska, Z., "Micro and Macro Systems in Life Sciences (Preface)", Math Biosci Eng., 14(1):i-i, 2017;
Lachowicz, M., Parisot, M., Szymańska, Z., "Intracellular protein dynamics as a mathematical problem", Discrete Continuous Dyn Syst Ser B, 21(8):2551-2566, 2016;
Cytowski, M., Szymańska, Z., "Enabling Large Scale Individual-Based Modelling through High Performance Computing" Workshop on Multiscale and Hybrid Modelling in Cell and Cell Population Biology, ITM Web of Conferences, 5, UPMC Paris, March 16-17, 2015;
Cytowski, M., Szymańska, Z., "Large Scale Parallel Simulations of 3-D Cell Colony Dynamics. II. Coupling with continuous description of cellular environment", IEEE Comput. Sci. Eng., 17(5):44-48, 2015;
Lachowicz, M., Szymańska, Z., "Nonlocal models of biological phenomena: Comment on On the interplay between mathematical and biology, hallmarks towards a new system biology by Bellomo, Elaiw, Althiabi and Alghamdi", Phys Life Rev, 12:76-77, 2015;
Szymańska, Z., Parisot, M., Lachowicz, M., "Mathematical modeling of the intracellular protein dynamics: the importance of active transport along microtubules", J. Theor. Biol., 363:118-128, 2014;
Dolfin, M., Lachowicz, M., Szymańska, Z., "General framework for multiscale modeling of tumor -- immune system interaction", in Mathematical Oncology 2013, Eds. d'Onofrio, A., Gandolfi, A., Birkhäuser, Boston, 151-180, 2014;
Cytowski, M., Szymańska, Z., "Large Scale Parallel Simulations of 3-D Cell Colony Dynamics", IEEE Comput. Sci. Eng., 16(5): 86-95, 2014;
Rybiński, M., Szymańska, Z., Lasota, S., Gambin, A., "Modelling the efficacy of hyperthermia treatment", J R Soc Interface, 10:20130527, 2013;
Cytowski, M., Szymańska, Z., Borucki, B., "2-D Large-scale individual based model of solid tumour growth", GAKUTO International Series Mathematical Sciences and Applications, Nonlinear Analysis in Interdisciplinary Sciences, 36:43-56, 2013;
Chaplain, M., Lachowicz, M., Szymańska, Z., Wrzosek, D., "Mathematical Modelling of Cancer Invasion: The Importance of Cell-Cell Adhesion and Cell-Matrix Adhesion", Math. Models Methods Appl. Sci., 21:719-743, 2011;
Ito, A., Gokieli, M., Niezgódka, M., Szymańska, Z., "Local existence and uniqueness to approximate system of 1D tumor invasion model", Nonlinear Anal. RWA., 11:3555-3566, 2010;
Szymańska, Z., Zylicz, M., "Mathematical Modeling of Heat Shock Protein Synthesis in Response to Temperature Change" J. Theor. Biol., 259:562-569, 2009;
Szymańska, Z., Morales Rodrigo, C., Lachowicz, M., Chaplain, M., "Mathematical Modelling of Cancer Invasion of Tissue: The Role and Effect of Nonlocal Interactions", Math. Models Methods Appl. Sci., 19:257-281, 2009;
Szymańska, Z., Urbański, J., Marciniak-Czochra, A., "Mathematical modelling of the influence of heat shock proteins on cancer invasion of tissue", J. Math. Biol., 58:819-844, 2009;
Bodnar, M., Foryś, U., Szymańska, Z., "Model of AIDS-related tumour with time delay", Appl. Math., 36:263-278, 2009;
Foryś, U., Szymańska, Z., "Heterotrophic - autorophic organisms models", Appl. Math., 36:279-294, 2009;
Kowalczyk, R., Szymańska, Z., On the global existence of solutions to an aggregation model", J. Math. Anal. Appl., 343:379-398, 2008;
Szymańska, Z., "Analysis of Immunotherapy Models in the Context of Cancer Dynamics", Int. J. Appl. Math. Comp. Sci., 13:407-418, 2003;
Papers in Polish:
Szymańska, Z., Marciniak-Czochra, A., "Abstrakcja i konkret: modelowanie nowotworow", Matematyka, Spoleczeństwo, Nauczanie, OKM, 43:10-15, 2009;