PUBLICATIONS

2012

• P. Kocieniewski, J.E. Faeder, T. Lipniacki. The interplay of double phosphorylation and scaffolding in MAPK pathways, J. Theor. Biol. 295: 116-124 (2012). PDF

2011

• M. Kochanczyk. Prediction of functionally important residues in globular proteins from unusual central distances of amino acids, BMC Struct. Biol. DOI:10.1186/1472-6807-11-34 (2011)
• P. Szopa, M.J. Piotrowska. Growth of heterotrophe and autotrophe populations in an isolated terrestrial environment, Appl. Math. 38: 67-84 (2011)
  

• B. Hat, B. Kazmierczak, T. Lipniacki. B cell activation triggered by the formation of the small receptor cluster: a computational study, PLoS Comput. Biol. 7: e1000448 (2011). PDF

• J. Guzowski, P.M. Korczyk, S. Jakiela, P. Garstecki. Automated high-throughtput generation of droplets, Lab. Chip., DOI:10.1039/C1LC20595A (2011)

• S. Jakiela, S. Makulska, P.M. Korczyk, P. Garstecki. Speed of flow of droplets in microfluidic channels as a function of the capillary number, volume of droplets and contrast of viscosities, Lab. Chip., DOI:10.1039/C1LC20534J (2011)

• B. Kazmierczak, K. Piechor. Travelling wave solutions of a model of skin pattern formation in a singular case, Math. Meth. Appl. Sci. 34:325-337 (2011)

• B. Kazmierczak, Z. Peradzynski. Calcium waves with fast buffers and mechanical effects, J. Math. Biol. 62:1-38 (2011)

• I. Sielamowicz, M. Czech, T.A. Kowalewski. Empirical analysis of eccentric flow registered by the DPIV technique inside a silo model, Powder Technol. 212:38-56 (2011)

• I. Sielamowicz, M. Czech,T.A. Kowalewski. Empirical description of granular flow inside a model silo with vertical walls, Biosyst. Eng. 108:334-344 (2011)

• J. Szczepanski, M. Arnold, E. Wajnryb, J.M. Amigó, M.V. Sanchez-Vives. Mutual information and redundancy in spontaneous communication between cortical neurons, Biol. Cybern. 104:161-174, DOI 10.1007/s00422-011-0425-y (2011). PDF

• B. Paprocki, J. Szczepanski. Efficiency of neural transmission as a function of synaptic noise, threshold, and source characteristics, Biosystems 105:62-72, DOI:10.1016/j.biosystems.2011.03.005 (2011). PDF

• M. Kursa, K. Bajer, T. Lipniacki. Cascade of vortex loops initiated by a single reconnection of quantum vortices, Phys. Rev. B 83, 014515 (2011). PDF

• P. Szopa, T. Lipniacki, B. Kazmierczak. Exact solutions to a spatially extended model of kinase-receptor interaction, Phys. Biol. 8, 055005  (2011)

• L.A. Chylek, B. Hu, M.L. Blinov, T. Emonet, J.R. Faeder, B. Goldstein, R.N. Gutenkunst, J.M. Haugh, T. Lipniacki, R.G. Posner, J. Yang, W.S. Hlavacek. Guidelines for visualizing and annotating rule-based models, Mol. Biosyst. DOI: 10.1039/c1mb05077J (2011)

• S. Blonski, P. Domagalski, M. Dziubinski, T.A. Kowalewski. Hydrodynamically modified seeding for micro-PIV, Arch. Mech. 63:163-182 (2011)

• T. Szymborski, P.M. Korczyk, R. Hołyst, P. Garstecki. Ionic polarization of liquid-liquid interfaces; dynamic control of the rate of electro-coalescence, Appl. Phys. Lett. 99, 094101 (2011). PDF

• P.M. Korczyk, O. Cybulski, S. Makulska, P. Garstecki. Effects of unsteadiness of the rates of flow on the dynamics of formation of droplets in microfluidic systems, Lab. Chip. 11:173-175 (2011)

2010

• S. Tay, J. Hughey, T. Lee, T. Lipniacki, M. Covert, S. Quake. Single-cell NF-kB dynamics reveal digital activation and analogue information processing, Nature, 466:267-271 (2010). PDF, programs

• B. Kazmierczak, Z. Peradzynski, Calcium waves with fast buffers and mechanical effects, J. Math. Biol. 62:1-38 (2010). PDF

• M. Dyzma, K.Z. Boudjeltia, B. Faraut, M. Kerkhofs. Neuropeptide Y and sleep, Sleep Med. Rev. 14:161-165 (2010)

• B. Kazmierczak, M. Dyzma. Mechanical effects coupled with calcium waves, Arch. Mech. 62:121-133 (2010). PDF

• B. Kazmierczak, K. Piechor. Traveling wave solutions of a model of skin pattern formation in a singular case, Math. Method Appl. Sci. DOI: 10.1002/mma.1359 (2010)

• B. Kazmierczak, T. Lipniacki. Spatial gradients in kinase cascade regulation, IET Sys. Biol., 4:348-355 (2010). PDF

• K. Sadlej, E. Wajnryb, M.L. Ekiel-Jezewska, D. Lamparska, T.A. Kowalewski. Dynamics of nanofibres conveyed by low Reynolds number flow in a microchannel, Int. J. Heat Fluid Fl. 31:996-1004 (2010). PDF

• I. Sielamowicz, M. Czech, T.A. Kowalewski. Empirical description of flow parameters in eccentric flow inside a silo model, Powder Technol. 198:381-394 (2010)

• K. Piechor. Forms of travelling waves admitted by a mechanochemical model of tumour angiogenesis, Math. Method Appl. Sci., 33:1482-1495 (2010)

• K. Churski, P. Korczyk, P. Garstecki. High-throughput automated droplet microfluidic system for screening of reaction conditions, Lab on a Chip 10:816 (2010)

2009

• J. Szczepanski. On the distribution function of the complexity of finite sequences, Inform. Sciences, 179:1217-1220 (2009). PDF

• M. Alber, R. Gejji, B. Kazmierczak. Existence of global solutions of a macroscopic model of cellular motion in a chemotactic field, Appl. Math. Lett., 22:1645-1648  (2009). PDF

• B. Hat, K. Puszynski, T. Lipniacki. Exploring mechanisms of oscillations in p53 and NF-kappa B systems, IET Sys. Biol., 3:342-355 (2009). PDF

• K. Puszynski, R. Bertolusso, T. Lipniacki. Crosstalk between p53 and NF-κB systems: pro- and anti-apoptotic functions of NF-κB, IET Sys. Biol., 3:356-367 (2009). PDF, programs

• B. Kazmierczak, T. Lipniacki. Regulation of kinase activity by diffusion and feedback, J. Theor. Biol., 259:291-296 (2009). PDF

• S. Alabrudzinski, M.L. Ekiel-Jezewska, D. Chehata-Gomez, T.A. Kowalewski. Particle clusters settling under gravity in a viscous fluid, Phys. Fluids 21, 073302 (2009) 

• Z. Peradzynski, S. Barral, K. Makowski, M. Dudeck. Causality violation in analysis of Hall thruster plasma instabilities, J. Tech. Phys. 49:315-327 (2009)

• N. El Khatib, S. Génieys, B. Kazmierczak, V. Volpert. Mathematical modelling of atherosclerosis as an inflammatory disease, Phil. Trans. R. Soc. A 367:4877-4886 (2009)

• O. Bretcanu, S.K. Misra, D.M. Yunos, A.R. Boccaccini, I. Roy, T. Kowalczyk, S. Blonski, T.A. Kowalewski. Electrospun nanofibrous biodegradable polyester coatings on Bioglass-based glass-ceramics for tissue engineering, Mater. Chem. Phys. 118:420–426 (2009)

2008

• B. Kazmierczak. Existence of global solutions to a model of chondrogenesis, Math. Meth. Appl. Sci. 32:264-283 (2008)

• B. Kazmierczak, V. Volpert. Calcium waves in systems with immobile buffers as a limit of waves for systems with non zero diffusion, Nonlinearity 21:71-96 (2008)

• B. Kazmierczak, V. Volpert. Travelling calcium waves in systems with non diffusing buffers, Math. Mod. Meth. Appl. Sci. 18:883-912 (2008)

• K. Puszynski, B. Hat, T. Lipniacki. Oscillations and bistability in the stochastic model of p53, J. Theor. Biol. doi:10.1016/j.jtbi.2008.05.039 (2008), programs

• T. Lipniacki, B. Hat, J.R. Faeder, W.S. Hlavacek. Stochastic effects and bistability in T cell receptor signaling, J. Theor. Biol., doi:10.1016/j.jtbi.2008.05.001 (2008), programs ODE, programs Gillespie

• J.M. Amigo, L. Kocarev, J. Szczepanski. On some properties of the discrete Lyapunov exponent, Phys. Lett. A 372:6265-6268 (2008)

• R. Nagarajan, J. Szczepanski, E. Wajnryb. Interpreting non-random signatures in biomedical signals using Lempel-Ziv complexity, Physica D 237: 359-364 (2008)

• T.A. Kowalewski, S. Blonski, P. Korczyk. Eksperymentalna analiza przeplywów w skali mikro i nano, in Wybrane zagadnienia przeplywów i wymiany ciepla, W. Suchecki (Eds.) 6:127-149, Oficyna Wyd. Polit. Warsz. (2008)

• P. Licznar, J. Lomotowski, S. Blonski, G.J. Ciach. Microprocessor Field Impactometer Calibration: Do We Measure Drops Momentum or Their Kinetic Energy?, J. Atmos. Ocean. Tech. 25:742-753 (2008)

• T. Kowalczyk, A. Nowicka, D. Elbaum, T.A. Kowalewski. Electrospinning of bovine serum albumin. Optimization and the use for production of biosensors, Biomacromolecules 9:2087-2090 (2008)

• K. Piechor. Non-local Korteweg stresses from kinetic theory point of view, Arch. Mech. 60:23-58 (2008)  

• S.P. Malinowski, M. Andrejczuk, W. Grabowski, P. Korczyk, T.A. Kowalewski, P.K. Smolarkiewicz. Laboratory and modeling studies of cloud–clear air interfacial mixing: anisotropy of small-scale turbulence due to evaporative cooling, New J. Phys., 10:075020 (2008)

2007

• M. Alber, T. Glimm, H.G. Hentschel, B. Kazmierczak, Y.T. Zhang, J. Zhu, S.A. Newman. The morphostatic limit for a model of skeletal pattern formation in the vertebrate limb, Bull. Math. Biol., 69:460-483 (2007)

• S.A. Newman, S. Christley, T. Glimm, H.G. Hentschel, B. Kazmierczak, Y.T. Zhang, J. Zhu, M. Alber. Multiscale models for vertebrate limb development, Curr. Top. Dev. Biol., 81:311-340 (2007)

• J.M. Amigo, L. Kocarev, J. Szczepanski. Theory and practice of chaotic cryptography, Phys. Lett. A, 366:211-216 (2007)

• T. Lipniacki, K. Puszynski, P. Paszek, A. R. Brasier, M. Kimmel. Single TNFalpha trimers mediating NF-kappaB activation: Stochastic robustness of NF-kappaB signaling, BMC Bioinformatics, 8:376 (2007)

• T. Lipniacki, M. Kimmel. Deterministic and stochastic models of NF-κB pathway, Cardiovasc. Toxicol., 7:215-234 (2007)

• A. Bobrowski, T. Lipniacki, K. Piechór, R. Rudnicki. Asymptotic behavior of distributions of mRNA and protein levels in a model of stochastic gene expression, J. Math. Anal. Appl., 333:753-769 (2007)

• B. Hat, P. Paszek, M. Kimmel, K. Piechór, T. Lipniacki. How the number of alleles influences gene expression, J. Stat. Phys., 128: 511-533 DOI: 10.1007/s10955-006-9218-4 (2007)

• K. Fujarewicz, M. Kimmel, T. Lipniacki, A. Świerniak. Adjoint systems for models of cell signalling pathways and their application to parameter fitting, IEEE/ACM T. Comput. Bi., 4:322-335 (2007)

• T.A. Kowalewski. Thermochromic Liquid Crystals, chap. B 7.1 in Springer Handbook of Experimental Fluid Mechanics, C. Tropea, A.L. Yarin, J.F. Foss (Eds.), 487-499, Springer (2007)

• J.M. Amigo, L. Kocarev, J. Szczepanski, Discrete Lyapunov exponent and resistance to differential cryptanalysis, IEEE T. Circuits II, 54:882-886 (2007)

• B. Kazmierczak, V. Volpert, Mathematical Modelling of Natural Phenomena Travelling waves in partially degenerated reaction-diffusion systems 2, No 2, (2007)

• B. Kazmierczak, V. Volpert, Calcium waves in systems with imobile buffers as a limit of waves for systems with nonzero diffusion, Nonlinearity 21:71-98 (2007)

• S. Blonski, T.A. Kowalewski. PIV analysis of turbulent flow in a micro-channel, J. Theor. Appl. Mech., 45:489-503 (2007)

• S. Blonski, P.M. Korczyk, T.A. Kowalewski. Analysis of turbulence in a micro-channel emulsifier, Int. J. Therm. Sci., 46:1126–1141 (2007)

2006

• L. Kocarev, J. Szczepanski, J.M. Amigo, I. Tomovski. Discrete Chaos-I: Theory, IEEE T. Circuits Sys., 53:1300-1309 (2006)

• J.M. Amigo, L. Kocarev, J. Szczepanski. Order patterns and chaos, Phys. Lett. A, 355:27-31 (2006)

• T. Lipniacki. Dynamics of superfluid He: Two-scale approach, Eur. J. Mech. B-Fluids, 25: 435-458 (2006)

• T. Lipniacki, P. Paszek, A. R. Brasier, B. Luxon, M. Kimmel. Stochastic regulation in early immune response, Biophys. J., 90: 725-742 (2006)

• P. Korczyk, S.P. Malinowski, T.A. Kowalewski. Mixing of cloud and clear air in centimeter scales observed in laboratory by means of Particle Image Velocimetry, Atmospheric Res., 82:173-182 (2006)

• T. Lipniacki. Dynamics of superfluid He: Two-scale approach, European Journal of Mechanics, B/Fluids, 25:435-458 (2006)

• T. Lipniacki, P. Paszek, A. Marciniak-Czochra, A. R. Brasier, M. Kimmel. Transcriptional stochasticity in gene expression, J. Theor. Biol., 238:348-367 (2006)

• T. Lipniacki, P. Paszek, A.R. Brasier, B. Luxon, M. Kimmel. Stochasticity in early immune response, Biophys. J., 90: 725-742 (2006)

2005

• M. Belk, B. Kazmierczak, V. Volpert. Existence of reaction-diffusion-convection waves in unbounde cylinders, Int. J. Math. Math. Sci., 2:169-193 (2005)

• M. Alber, T. Glimm, H.G.E. Hentschel, B. Kazmierczak, S. Newman. Stability of n-dimensional patterns in a generalized Turing system: implications for a biological patterns formation, Nonlinearity, 18:125-138 (2005)

• J. Szczepanski, J.M. Amigo, T. Michalek, L. Kocarev. Cryptographically Secure Substitutions Based on the Approximation of Mixing Maps, IEEE T. Circuits Sys., 52:443-453 (2005)

• P. Paszek, T. Lipniacki, A.R. Brasier, B. Tian, D. E. Nowak, M. Kimmel. Stochastic effects of multiple regulators on expression profiles in eukaryotes, J. Theor. Biol., 233:423-433 (2005)

• B. Kazmierczak. Fale biegnace w osrodkach z dyfuzja, Pismo PTM - Matematyka Stosowana. Matematyka dla Społeczeństwa, 6 (47), 29-47 (2005)

• J.M. Amigo, J. Szczepański, L. Kocarev. A Chaos-Based Approach to the Design of Cryptographically Secure Substitutions, Phys. Lett. A, 343:55-60 (2005)

•  M. Alber, H.G.E. Hentschel, B. Kazmierczak, S. Newman. Existence of solutions to a new model of biological pattern formation, J. Math. Anal. Appl., 308:175-194 (2005)

• M. Alber, R. Chaturvedi, C. Huang, T. Schneider, J. Izaguirre, T. Glimm, G. Hentschel, J. Glazier, B. Kazmierczak, S. Newman. On Multiscale Approaches to 3-Dimensional Modeling of Morphogenesis, J. R. Soc. Interface 2, 237-253 (2005)

• S. Barral, K. Makowski, Z. Peradzyński, M. Dudeck. Transit time instability in Hall Thruster, Physics of Plasmas. 2005. 12, 073504-1 - 073504-9 (2005)

• T. Michalek, T.A. Kowalewski, B. Saler. Natural Convection for Anomalous Density Variation of Water - Numerical Benchmark, Prog. In Comput. Fluid Dy., 5:158-170 (2005)

• Z. Peradzyński, B. Kazmierczak. On mechanochemical Calcium waves, Arch. Appl. Mech. 74, 827-833 (2005)

2004

• B. Kazmierczak, K. Piechor. Some heteroclinic solutions of a model of skin pattern formation, Math. Meth. Appl. Sci., 27:1317-1345

• J. Szczepanski, J.M. Amigo, E. Wajnryb, M.V. Sanchez-Vives. Characterizing spike trains with Lempel–Ziv complexity, Neurocomputing (2004), 58-60:79-84 (2004)

• L. Kocarev, J. Szczepanski. Finite-Space Lyapunov Exponents and Pseudochaos, Phys. Rev. Lett. 93 (2004)

• J. Szczepanski, E. Wajnryb, J.M. Amigo, M. V. Sanchez-Vives, M. Slater. Biometric random number generators, Comput. Secur., 23:77-84 (2004)

• J.M. Amigo, J. Szczepanski, E. Wajnryb, M. V. Sanchez-Vives. Estimating the Entropy Rate of Spike Trains via Lempel-Ziv Complexity, Neural Comput., 16:717-736 (2004)

• T. Lipniacki, P. Paszek, A. R. Brasier, B. Luxon, M. Kimmel. Mathematical model of NF-κB regulatory module, J. Theor. Biol., 228:195-215 (2004)

•  A. Kucaba-Pietal, Z. Walenta, Z. Peradzynski. Size and wall effects in flows in nanochannels, Turbulence, 10:77-81 (2004)

• B. Kazmierczak, S. Vakulenko, S. Genieys. Pattern Formation Capacity of Spatially Extended Systems, Phys. Rev., E 69, 016215 (2004)

• H.J. Antunez, M. Kowalczyk. Combined shape and none-shape sensitivity for optimal design of metal forming options, Comp. Ass. Mech. and Eng. Scs., 11:99-118 (2004)

• T.A. Kowalewski. Experimental Methods for Quantitative Analysis of Thermally Driven Flows in Phase Change with Convection, eds. T. Kowalewski, D. Gobin, CISM Course Lecture Notes, 449:167-215, Springer (2004)

• T.A. Kowalewski. Fluids in Motion, Academia, 32-34 (2004)

• T.A. Kowalewski, J. Pakleza, R. Trzcinski, A. Zachara. Experimental analysis of vapour bubble growth on heated surface, Archives of Theromdynamics, 25:1-12 (2004)

2003

• B. Kazmierczak, V. Volpert. Existence of heteroclinic orbits for systems satysfying monotonicity conditions, Nonlinear Analysis, 55:467-491 (2003)

• J.M. Amigo, J. Szczepanski. Approximations of dynamical systems and their applications to cryptography, Int. J. Bifurcat. Chaos, 13:1937-1948 (2003)

• J. Szczepanski, J.M. Amigo, E. Wajnryb, M. V. Sanchez-Vives. Application of Lempel–Ziv complexity to the analysis of neural discharges, Network: Comput. Neural Syst., 14:335-350 (2003)

• J.M. Amigo, J. Szczepanski. E. Wajnryb, M.V. Sanchez-Vives. On the number of states of the neuronal sources, BioSystems, 68:57-66 (2003)

• J. Szczepanski, T. Michalek. Random Fields Approach to the Study of DNA Chains, J. Biol. Phys., 29:39-54 (2003)

• T. Lipniacki. Shape-preserving solutions for quantum vortex motion under localized induction approximation, Phys. Fluids, 15:1381-1395 (2003)

• T. Lipniacki. Shape-preserving solutions for quantum vortex motion under localized induction approximation, Phys. Fluids 15, 1381-1395 (2003)

• T. Michalek, T.A. Kowalewski. Simualtion of the water freezing process - numerical benchmarks, TASK Quarterly, 7:389-408 (2003)

• T.A. Kowalewski, A. Mosyak, G. Hetsroni. Tracking of coherent thermal structures on a heated wall. Part 2: DNS Simulation, Exp. in Fluids 34, 390-396 (2003)

• Z. Peradzyński, M.L. da Silva, V. Lago, E. Bedjamin, A. Lebehot, S. Mazouffre, M. Dudeck, Z. Szymański, A. Chikaou, M. Boubert. Modeling of radiative plasma sorrounding a Space Probe entering Mars atmosphere, High TemperatureMaterial Processes, An. Int. Jour., 7:115-125 (2003)

2002

• B. Kaźmierczak, T. Lipniacki. Homoclinic solutions in mechanical systems with small dissipation. Application to DNA dynamics,  J. Math. Biol., 44: 309-329 (2002)

• T. Lipniacki. Quasi-static solution for quantum vortex motion under the localized induction approximation, J. Fluid Mech., 477:321-337 (2002)

• A. Kucaba-Pietal, Z. Walenta, Z. Peradzynski. What are the limits of applicability of the theory of micropolar fluids for description of real fluid flows through narrow channels, Proc. Appl. Math. Mech., t. 1, z. 1, 308-309 (2002)

•  A. Gorska, K. Gorski, Z. Kotulski, A. Paszkiewicz, J. Szczepanski. New Experimental Results in Differential-Linear Cryptanalysis of Reduced Variants of DES, in: Advanced Computer Systems, J.Soldek, J.Pejas, eds, Kluwer Academic Publishers. Boston ISBN 0-7923-7651-X., 664:335-348 (2002)

• B. Kazmierczak. Existence of heteroclinic orbits for systems satisfying monotonicity conditions, Lecture Notes in Nonlinear Analysis, 3:93-107 (2002)

• B. Kazmierczak, K. Piechór. Parametric dependence of phase boundary solution to model kinetic equations on parameters, ZAMP, 53:539-568 (2002)

• B. Kazmierczak, K. Piechor. Phase Boundary Solutions to Model Kinetic Equations via the Conley Index Theory, Part II, Math. Comput. Model., 36:1393-1408 (2002)

• B. Kazmierczak, M. Massot, V. Volpert, Z. Peradzynski. Solvability conditions for elliptic problems with nonfredholm operators, Applicationes Mathematicae, 29:219-238 (2002)

• J. Kurzyna, N. Gascon, G. Bonhomme, M. Dudeck, K. Makowski, Z. Peradzyński, V. Lago, A. Lebehot. Oscillations of discharge current in stationary plasma thruster, High Temp. Mater. P-us, An Int. Jour., 6:181-190 (2002)

• J. Pakleza, M.-C. Duluc, T.A. Kowalewski. Experimental investigation of vapour bubble growth, Heat Transfer 3:479-485, Elsevier (2002)

• J. Stasiek, T.A. Kowalewski. Thermochromic liquid crystals applied for heat transfer research, Opto-electron. rev., 10:1-10, (2002)

• P. Monti, H.J. Fernando, M. Princevac, T.A. Kowalewski, W.C. Chan, E.R. Padyjak. Observations of flow and turbulence in the nocturnal boundary layer, J. Atmospheric Scs., 59:2513-2534 (2002)

• T.A. Kowalewski, A. Cybulski, T. Michalek. Experimental benchmark for casting problems, Heat Transfer 2002, 4:813-819 (2002)

• T.A. Kowalewski. Particle Image Velocimetry and Thermometry in two phase problems, in Visualization and Imaging in Transport Phenomena, Annals of New York Academy of Sciences, 972:213-222, edts. S. Siedeman & A Landesberg, NY (2002)

2001

• J. Szczepanski. A new result on the Nirenberg problem for expanding maps, Nonlinear Analysis, 43:91-99 (2001)

• J. Szczepański, Z. Kotulski. Pseudorandom Number Generators Based on Chaotic Dynamical Systems, Open Sys. & Information Dyn., 8:137-146 (2001)

• T. Lipniacki. Evolution of line-length density and anisotropy of quantum tangle, Phys. Rev. B, 64: 214516-1-9 (2001)

• T. Lipniacki. Thermodynamics of local DNA openings, Phys. Rev. E, 64: 051919-1-5 (2001)

• T. Lipniacki. On quantum turbulence in superfluid Helium, Arch. Mech., 53:23-43 (2001)

• T. Lipniacki. Torsional travelling waves in DNA, J. Non-linear Math. Phys., 8:188-194 (2001)

• T. Lipniacki. Statics of rigid units chain, International Journal of Bifurcation and Chaos, 11:845-854 (2001)

Selected earlier publications

• T. Lipniacki. Evolution of quantum vortices following reconnection, Eur. J. Mech. B-Fluids, 19:361-378 (2000)

• Z. Kotulski, J. Szczepański. Application of discrete chaotic dynamical systems in cryptography-DCC method, Int. J. Bifurcat. Chaos, 9:1121-1135 (1999)

• T. Lipniacki. Chemically driven traveling waves in DNA, Phys. Rev. E, 60:7253-7561 (1999)

• T. Lipniacki. Dynamics of quantum vortices in superfluid He, Arch. Mech., 50:439-454 (1998)

• T. Lipniacki. Non linear mechanical model of DNA dynamics, Nuovo Cimento D (1998), 20:831-843

• J. Szczepański, Z. Kotulski. On two motions of a particle driven by equivalent ergodic and chaotic reflection laws, Arch. Mech., 50:865-875 (1998)

• T. Lipniacki. Can the system of discrete vortices imitate boundary layer, Arch. Mech., 49:103-109 (1998)

• T. Lipniacki. Dynamics of superfluid Helium - Limits of the Vinen model, Arch. Mech., 49:615-633 (1997)

• Z. Kotulski, J. Szczepański. Discrete chaotic cryptography, Ann Physic, 6:381-394 (1997)

• J. Szczepanski, E. Wajnryb. Do Ergodic or Chaotic Properties of the Reflection Law Imply Ergodicity or Chaotic Behavior of a Particle’s Motion? Chaos Soliton. Fract., 5:77-89 (1995)

• J. Szczepanski. On a problem of Nirenberg Concerning expanding maps in Hilbert space, Proceedings of the American Mathematical Society, 116:1041-1044 (1992)

• J. Szczepanski, E. Wajnryb. Long time behavior of the one-particle distribution function for the Knudsen for the convex domain, Phys. Rev. A, 44:3615-3621 (1991)

• J. Szczepanski. On the basis of the statistical mechanics. The Liouville equation for systems with an infinite countable number of degrees of freedom, Physica A, 157:955-982 (1989)