From newer to older
Szczelina, R.; Zgliczyński, P.; High-order Lohner-type algorithm for rigorous computation of Poincaré maps in systems of Delay Differential Equations with several delays, Submitted, (2022) [arXiv preprint]
Hryc, J.; Szczelina, R.; Markiewicz, M.; Pasenkiewicz-Gierula, M.; Lipid/water interface of galactolipid bilayers in different lyotropic liquid-crystalline phases Frontiers in Molecular Biosciences, Vol. 9 (2022) [doi:10.3389/fmolb.2022.958537]
Markiewicz, M.; Szczelina, R.; Milanovič, B.; Subczyński, W. K.; Pasenkiewicz-Gierula, M.; Chirality affects cholesterol-oxysterol association in water, a computational study, Computational and Structural Biotechnology Journal, Vol. 19, Pages 4319-4335, (2021) [doi:10.1016/j.csbj.2021.07.022]
Markiewicz, M.; Szczelina, R.; Pasenkiewicz-Gierula, M.; Data for molecular dynamic simulations in the OPLSAA force field: Partial charges of cholesterol, C7-hydroxycholesterol and C7-hydroperoxycholesterol, torsional parameters for the hydroperoxy group of C7-hydroperoxycholesterol., Data Brief, (2021) [doi:10.1016/j.dib.2021.107483]
Szczelina, R.; Baczyński, K.; Markiewicz, M.; Pasenkiewicz-Gierula, M.; Network of lipid interconnections at the interfaces of galactolipid and phospholipid bilayers, Journal of Molecular Liquids, Volume 298, (2020), [doi:10.1016/j.molliq.2019.112002]
Plesnar, E.; Szczelina, R.; Subczynski, K.W.; Pasenkiewicz-Gierula, M.; Is the cholesterol bilayer domain a barrier to oxygen transport into the eye lens?, Biochimica et Biophysica Acta (BBA) - Biomembranes (2018), Vol. 1860, Iss. 2, Pages 434–441, [doi:10.1016/j.bbamem.2017.10.020]
Szczelina, R.; Zgliczyński, P.; Algorithm for rigorous integration of Delay Differential Equations and the computer-assisted proof of periodic orbits in the Mackey-Glass equation, Foundations of Computational Mathematics (2018), Vol. 18, Iss 6, Pages 1299--1332, [Open Access, doi:10.1007/s10208-017-9369-5] [arxiv preprint]
Source codes available here
Szczelina, R. A computer assisted proof of multiple periodic orbits in some first order non-linear delay differential equation, Electronic Journal of Qualitative Theory of Differential Equations (2016), No. 83, 1-19, [Open Access, doi:10.14232/ejqtde.2016.1.83] [PDF]
Source codes available here
Szczelina, R. Murzyn, K. DMG-α-A Computational Geometry Library for Multimolecular Systems, Journal of Chemical Information and Modeling (2014), 54 (11), 3112–3123 [doi:10.1021/ci500273s]
Work founded under Polish National Science Center (NCN) grant no. 2011/01/N/ST6/07173. [project homepage - documentation]
Szczelina, R. Zgliczyński, P. A Homoclinic Orbit in a Planar Singular ODE---A Computer Assisted Proof, SIAM Journal of Applied Dynamical Systems 12 (2013), 1541-–1565 [doi:10.1137/120901271] [preprint (PDF)]
Source codes (compiling instructions inside):
SocBiN / BIT Bioinformatics, June 26 - June 29, 2013 Toruń, Poland
Poster: Lipid bilayer analysis using 3D Voronoi diagrams [poster in .PDF]
The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, July 07 - July 11, 2014 Madrid, Spain
Talk: Rigorous integration of Delay Differential Equations [presentation in .PDF]
BIO 2014 Congress, September 9 - September 12, 2014 Warsaw, Poland
Poster: DMG-α: computational geometry package for analysis of molecular dynamic simulations [poster in .PDF]
Short Thematic Program on Delay Differential Equations: Differential equations with variable delay, May 04 – May 08, 2015 Fields Institute, Toronto, Canada
Invited talk: Rigorous integration of DDEs and applications
Biomolecules and Nanostructures 5, May 13 - May 17 2015, Jaroszowice, Poland
Co-author of the invited talk, speaker: Marta Pasenkiewicz-Gierula Self-organisation of cholesterol in water
Dynamics, Topology and Computations (DyToComp), June 15 – June 20, 2015 Banach Center of IMPAN, Będlewo, Poland
Talk: Rigorous integration of delay differential equations and applications
10th Colloquium on the Qualitative Theory of Differential Equations, July 01 – July 04, 2015 Szeged, Hungary
Talk: Constructing Poincaré maps for delay differential equations using rigorous interval arithmetic
19th IUPAB congress and 11th EBSA congress, July 16 – July 20, 2017 Edinburgh, Scotland/United Kingdom
Poster: Computational study of oxygen transport across domains of the membrane of the eye lens fibre cells
7th Wroclaw-Prague Seminar on Biophysics of Lipids, Wroclaw/Pierwoszow, Poland, April 12 - April 14, 2018
Talk: Computational study of the oxygen transport across different domains of the membrane of the eye lens fibre cells [presentation in .PDF]
Dynamics, Topology and Computations (DyToComp), June 18 - June 23, 2018 IMPAN Banach Center, Będlewo, Poland
Talk: Some developments in rigorous forward in time integration of Delay Differential Equations
11th Colloquium on the Qualitative Theory of Differential Equations, June 17 – June 21, 2019 Szeged, Hungary
Talk: Some improvements in rigorous integration of Delay Differential Equations
100 years anivversary meeting of Polish Mathematical Society (PTM), september 3 - september 7, 2019 UJ / AGH, Krakow, Poland
Talk (in Polish): Ścisłe całkowanie równań różniczkowych z opóźnieniem
Passive activities