VU Matematikos ir informatikos fakulteto autoriaus 'Pranas Katauskis' publikacijų sąrašas
pagal Lietuvos akademinių bibliotekų tinklo (LABT) publikacijų bazę VUB:

Eil. Nr. Publikacija
1Katauskis, Pranas; Ivanauskas, Feliksas; Alaburda, Aidas. Hysteresis and bistability in synaptic transmission modeled as a chain of biochemical reactions with a positive feedback // Nonlinear analysis: modelling and control. Vilnius : Vilnius University Press. ISSN 1392-5113. eISSN 2335-8963. 2024, vol. 29, no. 4, p. 746-761. DOI: 10.15388/namc.2024.29.35395.
2Katauskis, Pranas; Ivanauskas, Feliksas; Alaburda, Aidas. Mathematical model of synaptic long-term potentiation as a bistability in a chain of biochemical reactions with a positive feedback // Acta biotheoretica. Dordrecht : Springer. ISSN 0001-5342. eISSN 1572-8358. 2023, vol. 71, art. no. 16, p. [1-19]. DOI: 10.1007/s10441-023-09466-6.
3Katauskis, Pranas; Skakauskas, Vladas. Metanolio sintezės iš anglies monoksido ir vandenilio kompozitinio katalizatoriaus paviršiuje modelis // Lietuvos matematikų draugijos LXIV konferencijos santraukos, birželio 21–22 d., Vilnius. Vilnius : Vilniaus universiteto leidykla, 2023. ISBN 9786090708873. eISBN 9786090708880. p. 24. Prieiga per internetą: <https://www.lmd2023.mif.vu.lt/wp-content/uploads/2023/06/LMD2023_santraukos.pdf>.
4Jurgelėnė, Živilė; Stankevičius, Mantas; Stankevičiūtė, Milda; Kazlauskienė, Nijolė; Katauskis, Pranas; Ivanauskas, Feliksas; Karabanovas, Vitalijus; Rotomskis, Ričardas. Imaging of the internal chorion structure of rainbow trout Oncorhynchus mykiss live embryos and the distribution of quantum dots therein: Towards a deeper understanding of potential nanotoxicity // Science of the total environment. Amsterdam : Elsevier. ISSN 0048-9697. eISSN 1879-1026. 2021, vol. 785, art. no. 1473022, p. 1-14. DOI: 10.1016/j.scitotenv.2021.147302.
5Skakauskas, Vladas; Katauskis, Pranas. Modelling reduction of nitric oxide by hydrogen over supported catalysts // Journal of mathematical chemistry. New York : Springer International Publishing. ISSN 0259-9791. eISSN 1572-8897. 2021, vol. 59, no. 6, p. 1456-1473. DOI: 10.1007/s10910-021-01248-0.
6Skakauskas, Vladas; Katauskis, Pranas. Modelling of the "surface explosion" of the NO+H2 reaction over supported catalysts // Journal of mathematical chemistry. New York : Springer International Publishing. ISSN 0259-9791. eISSN 1572-8897. 2020, vol. 58, iss. 8, p. 1531-1547. DOI: 10.1007/s10910-020-01149-8.
7Skakauskas, Vladas; Katauskis, Pranas. Modelling carbon monoxide conversion into methanol over supported catalysts // Reaction kinetics, mechanisms and catalysis. Dordrecht : Springer Netherlands. ISSN 1878-5190. eISSN 1878-5204. 2020, vol. 130, no. 1, p. 103-116. DOI: 10.1007/s11144-020-01768-x.
8Čiegis, Raimondas; Katauskis, Pranas; Skakauskas, Vladas. Modelling competition of the enzyme-catalysed glucose oxidation and redox reactions in scanning electrochemical microscopy // Reaction kinetics, mechanisms and catalysis. Dordrecht : Springer. ISSN 1878-5190. eISSN 1878-5204. 2019, vol. 127, iss. 2, p. 543-559. DOI: 10.1007/s11144-019-01584-y.
9Katauskis, Pranas; Ivanauskas, Feliksas; Alaburda, Aidas. The "Memory" effect in a chain of biochemical reactions with a positive feedback is enhanced by substrate saturation described by Michaelis-Menten kinetics // Bulletin of mathematical biology. New York : Springer. ISSN 0092-8240. eISSN 1522-9602. 2019, vol. 81, iss 3, p. 919-935. DOI: 10.1007/s11538-018-00541-5.
10Katauskis, Pranas; Skakauskas, Vladas; Čiegis, Raimondas. Computational modeling of the NO+CO reaction over composite catalysts // IECMSA - 2019 : 8th international Eurasian conference on mathematical sciences and applications, August 27-30, Baku : book of abstracts. Baku : IECMSA. 2019, p. 161-162.
11Čiegis, Raimondas; Skakauskas, Vladas; Katauskis, Pranas. The robust finite volume schemes for modeling non-classical surface reactions // Nonlinear analysis : modelling and control. Vilnius : Vilnius University Institute of Mathematics and Informatics. ISSN 1392-5113. 2018, Vol. 23, iss. 2, art. no. 6, p. 234-250. DOI: 10.15388/NA.2018.2.6.
12Skakauskas, Vladas; Katauskis, Pranas; Čiegis, Raimondas. Modelling of the NO + CO reaction over inhomogeneous surfaces // Journal of mathematical chemistry. New York : Springer. ISSN 0259-9791. eISSN 1572-8897. 2018, vol. 56, iss. 9, p. 2626-2642. DOI: 10.1007/s10910-018-0908-3.
13Skakauskas, Vladas; Katauskis, Pranas. Modeling of a single nanoparticle interaction with the human blood plasma proteins // Journal of biological physics. Amsterdam : Springer Netherlands. ISSN 0092-0606. eISSN 1573-0689. 2018, vol. 44, no. 4, p. 605-617. DOI: 10.1007/s10867-018-9509-4.
14Katauskis, Pranas. Modeling of the carbon monoxide oxidation by nitrous oxide reaction on the composite catalysts // IECMSA - 2018 : 7th international Eurasian conference on mathematical sciences and applications, August 28-31, Kyiv : book of abstracts. Kyiv : IECMSA. 2018, p. 125.
15Katauskis, Pranas. On the kinetics of the dimer-dimer reactions over supported catalysts // IECMSA : 6th International Eurasian conference on mathematical sciences and applications, 15 - 18 August 2017, Budapest, Hungary: Book of Abstracts. Budapest. 2017, p. 163. Prieiga per internetą: <http://www.iecmsa.org/upload/dosya/IECMSA2017AbstractProceedingsBook.pdf> [žiūrėta 2017-08-29].
16Katauskis, Pranas. Comparison of two models of the dimer-dimer reaction on composite catalyst = Dviejų modelių, aprašančių dimerų katalitinę reakciją kompozitinio katalizatoriaus paviršiuje, palyginimas // Lietuvos matematikos rinkinys. Ser. A. Vilnius : Matematikos ir informatikos institutas. ISSN 0132-2818. eISSN 2335-898X. 2017, T. 58, p. 10-15. DOI: 10.15388/LMR.A.2017.03.
17Skakauskas, Vladas; Katauskis, Pranas. Modelling toxin effects on protein biosynthesis in eukaryotic cells // Computational biology and chemistry. Oxford : Elsevier Science Ltd. ISSN 1476-9271. eISSN 1476-928X. 2017, Vol. 69, p. 87-95. DOI: 10.1016/j.compbiolchem.2017.05.009.
18Skakauskas, Vladas; Katauskis, Pranas. Modeling neutralization of Shiga 2 toxin by A-and B-subunit-specific human monoclonal antibodies // Journal of biological physics. Amsterdam : Springer Netherlands. ISSN 0092-0606. eISSN 1573-0689. 2016, Vol. 42, Iss. 3, p. 435-452. DOI: 10.1007/s10867-016-9416-5.
19Skakauskas, Vladas; Katauskis, Pranas. Modeling of toxin–antibody interaction and toxin transport toward the endoplasmic reticulum // Journal of biological physics. Amsterdam : Springer Netherlands. ISSN 0092-0606. eISSN 1573-0689. 2016, Vol. 42, Iss. 1, p. 83-97. DOI: 10.1007/s10867-015-9394-z.
20Katauskis, Pranas; Vidutytė, Živilė. Numerical study of two-molecular catalytic reaction on composite catalyst = Monomerų reakcijų kompozitinių katalizatorių paviršiuje skaitinis tyrimas: gerai išmaišytų medžiagų modelis // Lietuvos matematikos rinkinys. Ser. A. Vilnius : Matematikos ir informatikos institutas. ISSN 0132-2818. eISSN 2335-898X. 2016, t. 57, p. 35-40. DOI: 10.15388/LMR.A.2016.07.
21Ivanauskas, Feliksas; Katauskis, Pranas; Laurinavičius, Valdas Stanislovas. Impact of convective transport and inert membrane on action of the bio-catalytic filter // Journal of mathematical chemistry. Cham : Springer. ISSN 0259-9791. eISSN 1572-8897. 2016, Vol. 54, Iss. 6, p. 1221-1232. DOI: 10.1007/s10910-016-0619-6.
22Skakauskas, Vladas; Katauskis, Pranas. Numerical study of CO oxidation by N2O reaction over supported catalysts // Journal of mathematical chemistry. Cham : Springer. ISSN 0259-9791. eISSN 1572-8897. 2016, Vol. 54, Iss. 6, p. 1306-1320. DOI: 10.1007/s10910-016-0625-8.
23Skakauskas, Vladas; Katauskis, Pranas. Modelling dimer-dimer reactions on supported catalysts // Journal of mathematical chemistry. Cham : Springer. ISSN 0259-9791. eISSN 1572-8897. 2015, Vol. 53, no 2, p. 604-617. DOI: 10.1007/s10910-014-0440-z.
24Katauskis, Pranas; Sakalauskas, Justas. Numerical study of monomer-monomer reactions on composite catalysts: well-mixed species model = Monomerų reakcijų kompozitinių katalizatorių paviršiuje skaitinis tyrimas: gerai išmaišytų medžiagų modelis // Lietuvos matematikos rinkinys. Proceedingsof the Lithuanian Mathematical Society. Ser.A. Vilnius : Vilniaus Universitetas. Matematikos ir Informatikos Insititutas. ISSN 0132-2818. 2015, T. 56, p. 42-47. DOI: 10.15388/LMR.A.2015.08.
25Skakauskas, Vladas; Katauskis, Pranas. Computational study of the dimer-trimer and trimer-trimer reactions on the supported catalysts // Computational and theoretical chemistry. Amsterdam : Elsevier. ISSN 2210-271X. eISSN 2210-2728. 2015, Vol. 1070, p. 102-107. DOI: 10.1016/j.comptc.2015.08.002.
26Skakauskas, Vladas; Katauskis, Pranas. Modelling of catalytic reactivity of inhomogeneous surfaces in monomer-monomer reactions // Nonlinear analysis: modelling and control. Vilnius : Vilnius University Institute of Mathematics and Informatics. ISSN 1392-5113. 2015, Vol. 20, No. 3, p. 455-468. DOI: 10.15388/NA.2015.3.10.
27Skakauskas, Vladas; Katauskis, Pranas; Skvortsov, Alex; Gray, Peter. Toxin effect on protein biosynthesis in eukaryotic cells: a simple kinetic model // Mathematical biosciences. Philadelphia : Elsevier Inc. ISSN 0025-5564. eISSN 1879-3134. 2015, Vol. 261, p. 83-90. DOI: 10.1016/j.mbs.2014.12.004.
28Skakauskas, Vladas; Katauskis, Pranas. Three mean-field models for bimolecular reactions proceeding on planar supported catalysts // Journal of Mathematical Chemistry. Cham : Springer international publishing Switzerland. ISSN 0259-9791. eISSN 1572-8897. 2015, Vol. 53, iss. 10, p. 2123-2136. DOI: 10.1007/s10910-015-0542-2.
29Katauskis, Pranas; Malakauskaite, Silvija. Numerical study of a toxin and antibody interaction inside the cell // Lietuvos matematikos rinkinys. LMD darbai. Vilnius : Matematikos ir informatikos institutas. ISSN 0132-2818. 2014, t. 55, ser. A, p. 7-12. DOI: 10.15388/LMR.A.2014.02.
30Skakauskas, Vladas; Katauskis, Pranas; Skvortsov, Alex; Gray, Peter. Modelling effects of internalized antibody: a simple comparative study // Theoretical biology and medical modelling. London : BioMed Central Ltd. ISSN 1742-4682. 2014, Vol. 11, no 1, Art. no. 11. DOI: 10.1186/1742-4682-11-11.
31Ivanauskas, Feliksas; Katauskis, Pranas; Laurinavičius, Valdas Stanislovas. Mathematical modeling of biosensor action in the region between diffusion and kinetic modes // Journal of mathematical chemistry. Cham : Springer international publishing Switzerland. ISSN 0259-9791. 2014, vol. 52, iss. 2, p. 689-702. DOI: 10.1007/s10910-013-0289-6.
32Skakauskas, Vladas; Katauskis, Pranas. Spillover in monomer-monomer reactions on supported catalysts: dynamic mean-field study // Journal of mathematical chemistry. Dordrecht : Springer Netherlands. ISSN 0259-9791. 2014, vol. 52, iss. 5, p. 1350-1363. DOI: 10.1007/s10910-014-0315-3.
33Katauskis, Pranas; Skakauskas, Vladas. Modelling of two-molecular reactions on supported catalysts // The 10th AIMS conference on dynamical systems differential equations and applications : abstracts, July 7-11, 2014, Madrid, Spain. Madrid. 2014, p. 508.
34Skakauskas, Vladas; Katauskis, Pranas; Skvortsov, Alex; Gray, Peter. Modelling of receptor-toxin-antibody interaction // The 10th AIMS conference on dynamical systems differential equations and applications : abstracts, July 7-11, 2014, Madrid, Spain. Madrid. 2014, p. 510.
35Katauskis, Pranas; Ivanauskas, Feliksas; Laukevičius, Sigitas. Calculation of the apparent Michaelis constant for biosensors using reaction-diffusion equations // Lietuvos matematikos rinkinys. LMD darbai. Vilnius : Matematikos ir informatikos institutas. ISSN 0132-2818. 2014, t. 55, ser. A, p. 1-6. DOI: 10.15388/LMR.A.2014.01.
36Katauskis, Pranas; Dzimidaitė, Justina. Toksino neutralizavimo antikūnu, gerai išmaišytame tirpale, kompiuterinis tyrimas // Lietuvos matematikos rinkinys. Ser. B. Vilnius : Vilniaus universiteto leidykla. ISSN 0132-2818. eISSN 2335-898X. 2013, t. 54, p. 17-22. DOI: 10.15388/LMR.B.2013.04.
37Skakauskas, Vladas; Katauskis, Pranas. Numerical study of long-range surface diffusion influence on catalytic reactivity of spatially inhomogeneous planar surfaces // Journal of mathematical chemistry. Dordrecht : Springer Netherlands. ISSN 0259-9791. 2013, Vol. 51, no. 2, p. 492-502. DOI: 10.1007/s10910-012-0100-0.
38Skakauskas, Vladas; Ambrazevičius, Algirdas; Katauskis, Pranas. Solvability of a receptor-toxin-antibody interaction model // ICAAMM 2013 : international conference on applied analysis and mathematical modeling, 2-5 June 2013, C Turkey. Istanbul : Yildiz Technical University, 2013. ISBN 9789944586832. p. 45.
39Skakauskas, Vladas; Ambrazevičius, Algirdas; Katauskis, Pranas. Solvability of a receptor-toxin-antibody interaction model // Application of mathematics in technical and natural sciences : 5-th international conference : book of abstracts, 24-29 June 2013, Albena, Bulgaria / edited by Michail Todorov. Albena. 2013, p. 64. Prieiga per internetą: <http://2013.eac4amitans.eu/resources/amitansabsbook1.pdf> [žiūrėta 2013-08-28].
40Skakauskas, Vladas; Katauskis, Pranas. Product desorption rate influence on catalytic reactivity of spatially inhomogeneous surfaces // Journal of mathematical chemistry. Dordrecht : Springer Netherlands. ISSN 0259-9791. 2013, Vol. 51, no. 6, p. 1654-1669. DOI: 10.1007/s10910-013-0171-6.
41Skakauskas, Vladas; Katauskis, Pranas; Šimkus, Remigijus; Ivanauskas, Feliksas. Phenomenological model of bacterial aerotaxis with a negative feedback // Nonlinear analysis: modelling and control. Vilnius : Vilniaus universiteto leidykla. ISSN 1392-5113. eISSN 2335-8963. 2013, vol. 18, no. 2, p. 227-249. DOI: 10.15388/NA.18.2.14024.
42Lukšienė, Živilė; Kokštaitė, Rita; Katauskis, Pranas; Skakauskas, Vladas. Novel approach to effective and uniform inactivation of gram-positive listeria monocytogenes and gram-negative salmonella enterica by photosensitization // Food technology and biotechnology. Zagreb : University of Zagreb. ISSN 1330-9862. 2013, vol. 51, no. 3, p. 338-344. Prieiga per internetą: <http://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=160811> [žiūrėta 2013-11-27].
43Skakauskas, Vladas; Katauskis, Pranas. Numerical study of the kinetics of unimolecular heterogeneous reactions onto planar surfaces // Journal of mathematical chemistry. Dordrecht : Springer Netherlands. ISSN 0259-9791. 2012, Vol. 50, no. 1, p. 141-154. DOI: 10.1007/s10910-011-9901-9.
44Katauskis, Pranas; Skakauskas, Vladas; Skvortsov, Alex. On the reaction-diffusion model of the receptoržtoxin-antibody interaction // Шестые Поляховские чтения : международная научная конференция по механике = Sixth Polyakhov's reading : international scientific conference on mechanics, 31 января - 3 февраля 2012 г., Санкт-Петергург, Россия : избранные труды. Москва : издатель И.В. Балабанов, 2012. ISBN 9785915631105. p. 127-132.
45Skakauskas, Vladas; Katauskis, Pranas; Skvortsov, Alex. Numerical simulation of a receptor-toxin-antibody interaction // CMMSE 2012 : proceedings of the 12th international conference on computational and mathematical methods in science and engineering. Vol. 3 / editor J. Vigo-Aguiar. Murcia : CMMSE, 2012. ISBN 9788461253921. p. 1111-1117.
46Katauskis, Pranas; Skakauskas, Vladas. On the kinetics unimolecular heterogeneous reactions onto planar surfaces // Шестые Поляховские чтения : международная научная конференция по механике : тезисы докладов = Sixth Polyakhov's reading : international scientific conference on mechanics : book of abstracts. Москва : Издатель И.В. Балабанов, 2012. ISBN 9785915631013. p. 106.
47Skakauskas, Vladas; Katauskis, Pranas; Skvortsov, Alex. On the receptor-toxin-antibody interaction problem // Шестые Поляховские чтения : международная научная конференция по механике : тезисы докладов = Sixth Polyakhov's reading : international scientific conference on mechanics : book of abstracts. Москва : Издатель И.В. Балабанов, 2012. ISBN 9785915631013. p. 251.
48Skakauskas, Vladas; Katauskis, Pranas; Skvortsov, Alex. A reaction-diffusion model of the receptor-toxin-antibody interaction // Theoretical biology and medical modelling. London : BioMed Central Ltd. ISSN 1742-4682. 2011, Vol. 8, art. no. 32, [15 p.]. DOI: 10.1186/1742-4682-8-32.
49Skakauskas, Vladas; Katauskis, Pranas. On the kinetics of the Langmuir-type heterogeneous reactions // Nonlinear analysis : modelling and control. Vilnius : Institute of Mathematics and Informatics. ISSN 1392-5113. 2011, Vol. 16, no. 4, p. 467-476. DOI: 10.15388/NA.16.4.14089.
50Skakauskas, Vladas; Katauskis, Pranas; Skvortsov, Alex. Modelling of receptor-toxin-antibody interaction // BIOMATH 2011 : international conference on mathematical methods and models in biosciences and school for young scientists : conference book, Sofia, June 2011 / edited by R. Anguelov, S. Markov. Sofia. 2011, p. 69.
51Skakauskas, Vladas; Katauskis, Pranas; Skvortsov, Alex. Numerical study of receptor-toxin-antibody interaction problem // 8-th European conference on mathematical and theoretical biology, and annual meeting of the society for mathematical biology : abstracts, Kraków, June 28-July 2, 2011. Kraków. 2011, p. 905. Prieiga per internetą: <https://www.impan.pl/~ecmtb11/files/Posters.pdf> [žiūrėta 2018-03-08].
52Skakauskas, Vladas; Katauskis, Pranas; Skvortsov, Alex. A receptor-toxin-antiobody interaction model // Casablanka international workshop in mathematical bology: analysis and control : abstracts book, June 20-24, 2011. Casablanka : Hassan II Universities. 2011, p. 55.
53Katauskis, Pranas; Skakauskas, Vladas. Bakterijų dinamikos kompiuterinis modeliavimas = Computer modelling of a bacteria dynamics // Lietuvos matematikos rinkinys. LMD darbai. Vilnius : Matematikos ir informatikos institutas. ISSN 0132-2818. 2010, t. 51, p. 362-367. DOI: 10.15388/LMR.2010.66.
54Katauskis, Pranas. Finansinių skaičiavimų pagrindai. Vilnius : Vilniaus universiteto leidykla, 2010. 276 p. ISBN 9789955335917.
55Skakauskas, Vladas; Katauskis, Pranas. Numerical solving of coupled systems of parabolic and ordinary differential equations // Nonlinear analysis : modelling and control. Vilnius : Institute of Mathematics and Informatics. ISSN 1392-5113. 2010, vol. 15, no. 3, p. 351-360. DOI: 10.15388/NA.15.3.14330.
56Skakauskas, Vladas; Katauskis, Pranas; Simeonov, G. On a fluid outflow from a bottle turned upside-down // Nonlinear analysis: modelling and control. Vilnius : Vilniaus universiteto leidykla. ISSN 1392-5113. eISSN 2335-8963. 2006, vol. 11, no. 3, p. 277-291. DOI: 10.15388/NA.2006.11.3.14748.
57Katauskis, Pranas; Skakauskas, Vladas. Numerical analysis of the wave propagation in a composite medium // Mathematical modelling and analysis = Matematinis modeliavimas ir analizė. Vilnius : Technika. ISSN 1392-6292. eISSN 1648-3510. 2006, vol. 11, no. 2, p. 161-172. DOI: 10.3846/13926292.2006.9637310.
58Skakauskas, Vladas; Ivanauskas, Feliksas; Katauskis, Pranas. On the short wave propagation in a medium composed of orthotropic crystals // 10th jubilee national congress on theoretical and applied mechanics : book of abstracts, 13-16 September 2005, Varna. Varna. 2005, p. 63.
59Katauskis, Pranas; Ivanauskas, Feliksas; Skakauskas, Vladas. Modelling of an elastic anisotropic structure // Mathematical modeling and analysis : 10th international conference, June 1-5, 2005, Trakai, Lithuania : abstracts. Vilnius : Matematikos ir informatikos institutas, 2005. ISBN 9986680298. p. 51.
60Katauskis, Pranas. Netiesinio įmagnetinimo uždavinio sprendinio egzistencija = The existence of solution of nonlinear problem of magnetization // Lietuvos matematikos rinkinys. Vilnius : Vilniaus universiteto leidykla, 1999. ISBN 9986053684. ISSN 0132-2818. 1999, t. 3, p. 157-162. DOI: 10.15388/LMD.1999.35550.
61Katauskis, Pranas. On the solvability of nonlinear problem of magnetization // Mathematical modelling and analysis. ISSN 1392-6292. 1999, vol. 4, p. 87-97.