Publications

2017
Cytowski, M., Szymańska, Z., Umiński, P., Andrejczuk, G., Raszkowski, K., "Implementation of an Agent-Based Parallel Tissue Modelling Framework for the Intel MIC Architecture", Scientific Programming, 2017, 1-11, 2017; Friedman, A., Lachowicz, M., Ledzewicz, U., Piotrowska, M. J., Szymańska, Z., "Micro and Macro Systems in Life Sciences (Preface)", Mathematical Biosciences and Engineering, 14(1):i-i, 2017; Szymańska, Z., Cytowski, M., Michell, E., Macnamara, C.K., Chaplain, M.A.J, "Computational modelling of cancer growth and invasion: Modelling at multiple scales and multiscale modelling", Bulletin of Mathematical Biology, accepted; Nowosielski, J., Zieliński, J., Borucki, B.A., Nowiński, K.S., "Multidimensional Haralick's feature space analysis for assessment of the Achilles tendon in MR imaging", Int J Comput Assist Radiol Surg., 12, Supp.1, 2017; Regulski, P., Zieliński, J., Borucki, B.A.,, Nowiński, K.S., "Comparison of noise reducing T2map reconstruction methods in MRI imaging of Achilles tendon", Int J Comput Assist Radiol Surg., 12, Supp.1, 2017; Kapiński, N., Zieliński, J., Borucki, B.A., Nowiński, K.S., "MRI-based deep learning for in situ monitoring of Achilles tendon regeneration process", Int J Comput Assist Radiol Surg., 12, Supp.1, 2017; Gokieli, M., Szpak, M., "Visualization and Experiment in (School) Mathematics", Mathematical Transgressions 2015, Eds. Błaszczyk, P., and Pieronkiewicz, B., Universitas, Kraków, 2017; Gokieli, M., Kenmochi, N., Niezgodka, M., "Variational Inequalities of Navier-Stokes Type with Time-Dependent Constraints", J Math Anal Appl, 449(2):1229--1247, 2017
2016
Lachowicz, M., Parisot, M., Szymańska, Z., "Intracellular protein dynamics as a mathematical problem” Discrete Cont Dyn-B, 21(8):2551-2566, 2016; Górski, Ł., Rakowski, F., Bała, P., " Parallel differential evolution in the PGAS programming model implemented with PCJ Java library", Parallel Processing and Applied Mathematics 9573, 448-458, 2016; Gąsior, J.S., Sacha, J., Jeleń, P.J., Zieliński, J., Przybylski, J, "Heart Rate and Respiratory Rate Influence on Heart Rate Variability Repeatability: Effects of the Correction for the Prevailing Heart Rate", Front. Physiol. 7:356, 2016; Zieliński, J., Regulski, P., Kapiński, N., Ciszkowska-Łysoń, B., Borucki, B., Nowiński, K., "Assessment of the Achilles tendon by Haralick’s texture features of MRI images: preliminary study", Int J Comput Assist Radiol Surg. 11:1, 194-195, 2016; Siedlecki, T., Zieliński, J., "Spectral Kurtosis of Otoacoustic Emissions Using the Husimi Transform: A Pilot Study", Journal of Hearing Science, 5:4, 15-25, 2016; Gokieli, M., Kenmochi, N., Niezgódka, M., "Variational inequalities of Navier–Stokes type with time dependent constraints", J. Math. Anal. Appl., 449:2, 1229-1247, 2016; Cuth M., Doucha, M., Wojtaszczyk, P., "On the structure of Lipschitz-free spaces", Proc. Am. Math. Soc. 144: 9, 3833-3846, 2016; Trykozko A., "Wybrane aspekty modelowania przepływu płynów przez złoża porowate" in: Granularne ośrodki porowate, Ed.: Sobieski W., Uniwersytet Warmińsko-Mazurski, Olsztyn, 119-134, 2016; Trykozko, A., Peszyńska, M., Dohnalik, M., "Modeling non-Darcy flows in realistic pore-scale proppant geometries", Computers and Geotechnics, 71, 352-360, 2016; Bąkowska, A., Łuczak-Wilamowska, B., Trykozko, A., "Próba wykorzystania danych mikroobrazowych do oceny współczynnika filtracji słabo przepuszczalnych ośrodków porowatych", in Praktyczne metody modelowania przepływu wód podziemnych, Eds.: Witczak, S., Żurek, A., AGH, Kraków, 88-96, 2016;
2015
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; Regulski, P., Zieliński, J., Borucki, B., Nowiński, K., "Assessment of anisotropic denoiser enhanced cone beam CT for patient dose reduction", Int J Comput Assist Radiol Surg., 10(1):S295-S296, 2015; Cytowski, M., Szymańska, Z., "Large Scale Parallel Simulations of 3-D Cell Colony Dynamics. II. Coupling with continuous description of cellular environment", IEEE Computing in Science & Engineering, 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 & Alghamdi, Phys Life Rev, 12:76-77, 2015; Wojtaszczyk, P., "On greedy algorithm approximating Kolmogorov widths in Banach spaces", J. Math. Anal. Appl., 424: 1, 685-695, 2015; Peszynska, M., Trykozko, A., Iltis G., Schlueter, S., Wildenschild, D., "Biofilm growth in porous media: experiments, computational modeling at the porescale, and upscaling", Advances in Water Resources, 95, 288-301, 2015;
2014
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 Computing in Science & Engineering, 16(5): 87-95, 2014; Plewczyński, D., Łukasik, M., Kurdej, K., Zubek, J., Rakowski, F., Rączaszek-Leonardi, J., "Generic Framework for Simulation of Cognitive Systems: A Case Study of Color Category Boundaries", in Man-Machine Interactions 3, Eds. Gruca, A., Czachórski, T., Kozielski, S., Springer International Publishing, 385-393, 2014; Nowiński, K., Zieliński, J., "Multi-step anisotropic denoiser scheme applied for cardiac non-contrast CT images", Int J Comput Assist Radiol Surg, 9(SUPP. 1): S263-264, 2014; Bolikowski, Ł., Gokieli, M., "Simulating Phase Transition Dynamics on Non-trivial Domains" in Parallel Processing and Applied Mathematics, Eds.: Wyrzykowski, R., Dongarra, J., Karczewski, K., Waśniewski J., Springer-Verlag Berlin, 510-519, 2014; Fonf, V.P., Wojtaszczyk, P., "Characteristic properties of the Gurariy space", Israel Journal of Mathematics, 203: 1, 109-140, 2014; Wojtaszczyk, P., "On left democracy function", Functiones et Approximatio, Commentarii Mathematici, 50:2, 207-214, 2014; Fonf, V.P., Wojtaszczyk, P., "Extension of smooth subspaces in Lindenstrauss spaces", Studia Mathematica, 222:1, 157-163, 2014; Garrigos, G., Wojtaszczyk, P., "Conditional quasi-greedy bases in Hilbert and Banach spaces", Indiana University Mathematics Journal, 63:4, 1017-1036, 2014; Sobieski, W., Trykozko, A., "Darcy’s and Forchheimer’s laws in practice – Part 1: The experiment", Technical Sciences / University of Warmia and Mazury in Olsztyn 17:4, 321-335, 2014; Sobieski, W., Trykozko, A., "Darcy’s and Forchheimer’s laws in practice – Part 2: The numerical mode", Technical Sciences / University of Warmia and Mazury in Olsztyn 17:4, 337-350, 2014;
2013
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; Bieniasz-Krzywiec, L., Cytowski, M., Rychlewski, L., Plewczynski, D.,"3D-Hit: fast structural comparison of proteins on multicore architectures", Optimization Letters, 8:1862-4472, 2013; Rakowski, F., Srinivasan, J., Strenberg, P., Karbowski, J., Synaptic polarity of the interneuron circuit controlling C. elegans locomotion", Front Comput Neurosci, 7: doi: 10.3389/fncom.2013.00128 / 1-10, 2013; Kapiński, N., Borucki, B., Nowiński, K., "Error assessment and minimization in 4D motion tracking for functional orthopaedics diagnostics", Int J Comput Assist Radiol Surg, 8:1, 157-159, 2013; Cohen, A., DeVore, R., Petrova, G., Wojtaszczyk, P., "Finding the minimum of a function", Methods and Applications of Analysis, 20:4, 365-382, 2013; Petrova G., DeVore, R., Wojtaszczyk, P., "Greedy Algorithms for Reduced Basis in Banach Spaces", Constructive Approximation, 37:3, 455-466, 2013;
2011
Chaplain, M.A.J., 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;
2010
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; Gokieli, M., Marcinkowski, L., "A solver for the finite approximation scheme for the Cahn--Hilliard/Allen--Cahn system with logarithmic entropy", Games and Economic Behavior 32, 289-306, 2010; Marcinkowski, L., Gokieli, M.,, "A solver for the finite approximation scheme for the Cahn--Hilliard/Allen--Cahn system with logarithmic entropy", in Current Advances in Nonlinear Analysis and Related Topics, Eds.: Redaktor T., Kenmochi N., Niezgódka, M., Otani, M., Gakkotosho, Tokyo, 2010; Bolikowski, Ł., Gokieli, M., Varchon, N., "The Neumann problem in an irregular domain", Interface Free Bound. 12:4, 443-462, 2010;
2009
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.A.J., "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", Applicationes Mathematicae,36:263-278, 2009; Foryś, U., Szymańska, Z., "Heterotrophic - autorophic organisms models", Applicationes Mathematicae, 36:279-294, 2009; Cytowski, M., Ito, A., Niezgódka, M., "Uniqueness and local existence of solutions to an approximate system of a 1D simplified tumor invasion model", Banach Center Publ. 86:45-58, 2009; Gokieli, M., Varchon, N., "Stability and instability of equilibria on singular domains", Banach Center Publications, 86, 103-113, 2009;
2008
Kowalczyk, R., Szymańska, Z., On the global existence of solutions to an aggregation model", J. Math. Anal. Appl.,343:379-398, 2008;