Refereed journal articles:

1. Vidybida A.K. Thermodynamic limit in perturbation theory for solutions of Bogolubov kinetic equations. Doklady AN USSR, 1975, 6, p.541-544. (Kyiv)
2. Vidybida A.K. Cauchy problem for the chain of Bogolubov kinetic equations. The BKS model. Teoreticheskaja i matematicheskaja fizika (TMF), 1975, v.25, p.49-59. (Moscow).
English translation: Theoretical and Mathematical Physics(TMPh), 1975, Vol.25,1, p.971-978, Plenum Publishing Corporation, N.Y.
3. Petrina D.Ja. Vidybida A.K. Cauchy problem for Bogolubov equations chain. Trudy MI AN SSSR, v.136,II, p.370-379. (Moscow) English translation: in "Soviet Mathematics - Trudy"
4. Petrina D.Ja., Vidybida A.K. Cauchy problem for Bogolubov equations chain. Doklady AN SSSR, 1976, v. 228, p.573-575. (Moscow)
English translation: Soviet Physics - Doklady(SPh-D), 1976, Vol.21, p.259-260, Plenum Publishing Corporation, N.Y.
5. Vidybida A.K. On solutions of the chain of Bogolubov kinetic equations. Doklady AN SSSR, 1976, v.231, p.575-577.
English translation: SPh-D, 1976, Vol.21, p.634-635.
6. Vidybida A.K. On Bogolubov equation solution. Classical statistics. TMF, 1977, v.30, p.48-56.
English translation: TMPh, 1977, Vol.30,1, p.29-35.
7. Vidybida A.K. Local perturbation for translation-invariant solutions of Bogolubov equations. TMF, 1978, v.34, p.99-108.
English translation: TMPh, 1978, Vol.34,1, p.62-69.
8. Vidybida A.K. Cauchy problem for Bogolubov hierarchy.One dimensional quantum lattice systems. TMF, 1979, v.34, p.353- 358.
English translation: TMPh, 1979, Vol.39,3, p.511-515.
9. Vidybida A.K. On Bogolubov hierarchy for one-dimensional system of particles with a hard core. TMF, 1981, v.48, p.236- 248.
English translation: TMPh, 1981, Vol.48,2, p.721-729.
10. Vidybida A.K., Serikov A.A. Electrophoresis by alternating field in non-Newtonian fluid. Phys. Lett., 1985, v.108A, p.170-172. download
11. Vidybida A.K., Serikov A.A. Electrophoresis by alternating field in non-Newtonian fluid. Doklady AN USSR, 1985, 11, p.47-49. (Kyiv)
12. Vidybida A.K., Serikov A.A. Directed drift of dispersed particles by homogeneous alternating electric field. Kolloidny Jurnal, 1986, v.48, p.202-203. (Moscow)
English translation: Colloid Journal (CJ), 1986, Vol.48, Plenum Publishing Corporation, N.Y.
13. Vidybida A.K. Operator of evolution for Bogolubov hierarchy. Lattice systems. TMF, 1986, v.68, p.69-87.
English translation: TMPh, 1986, Vol.68,1, p.681-694.
14. Vidybida A.K. Periodic electric field as a biopolymer conformation switch. Doklady AN USSR, 1986, 8, p.51-53. (Kyiv)
15. Vidybida A.K. Modification of the potential function of a mechanical system caused by periodic action. Doklady AN SSSR, 1987, v.292, p.1341-1345. ( PDF).
English translation: SPh-D, 1987, Vol.32, p.113-115.
16. Vidybida A.K. Modification of the potential function of a mechanical system caused by periodic action. Acta Mechanica, 1987, v.67, p.183-190. (Vienna) download
17. Dukhin S.S., Vidybida A.K., Dukhin A.S. et al.Aperiodical electrophoresis. Directed drift of dispersed particles in homogeneous alternating non-harmonic electric field. Kolloidny Jurnal, 1987,v.49, p.853- 856.
English translation: CJ, 1987, Vol.49,5, p.752-755.
18. Vidybida A.K., Serikov A.A. Drift of charged particles in non Newtonian fluid caused by periodic electric field. Kolloidny Jurnal, 1988, v.50, p.347-350.
English translation: CJ, 1988, Vol.50,2, p.304-307.
19. Andruschenko A.P., Vidybida A.K. Control of internal rotation in molecular-scale objects by alternating space-homogeneous electric field. Automation, 1988, 5, p.58-61. (Kyiv)
English translation: Soviet Journal of Automation and Information Science, 1988, Scripta Technica, Wiley, N.Y. Scopus DB,
PDF
20. Vidybida A.K.Periodic electric field as a biopolymer conformation switch: a possible mechanism. Europ.Biophys.Journ., 1989, v.16, p.357-361. ( PDF).
21. Vidybida A.K. Periodic electric field as a possible switch of a biopolymer conformations. Biofizika, 1989, v.34, 2, p.205-209. (Mos- cow)
English translation: Biophysics(?), Pergamon Press.
22. Vidybida A.K., Dukhin S.S., Dubyaga V.P. Reverse microfiltration. Khimiya i technologiya vody, 1991, v.13, 3, p.201- 212. (Kyiv)
English translation: Soviet Journal of Water Chemistry and Technology, 1991, Vol.13,3, Allerton Press Inc., N.Y. PDF
23. Vidybida A.K. Selectivity and sensitivity of a bistable chemical system in the presence of thermal noise. Revue Roumaine de Biochimie, 1991,v.28,p.185-196. (Bucharest).
24. Vidybida A.K. Selectivity and sensitivity improvement in cooperative system with a threshold in the presence of thermal noise. Journ. theor. Biol.,Vol 152, No 2, 1991, p.159-165. ( PDF).
25. Vidybida A.K. Selectivity and sensitivity improvement in cooperative system with a threshold in the presence of thermal noise. Biofizika, Vol 37, 2, 1992, p.374-377.
English translation: Biophysics(?), Pergamon Press.
26. Ulberg Z.R.,Karamushka V.I.,Vidybida A.K. et al. Interaction of energized bacteria cells with particles of colloidal gold: peculiarities and kinetic model of the process. Biochimica et Biophyzica Acta, 1134, 1992, p.89-95, Elsevier Science Publishers.
27. Vidybida A.K. Selectivity and sensitivity of a cooperative system in the presence of thermal noise. Ukrainian J. Physics, Vol.38, No.3, 1993, p.470-480.(Ukrainian)
28. Vidybida A.K. Estimation of possible selectivity and sensitivity of a cooperative system to low-intensive microwave radiation. Physica A, Vol.221, No.1-3, 1995, p.30-40 PDF
29. Vidybida A.K. Estimation of possible selectivity and sensitivity of a cooperative system to low-intensive microwave radiation. Physics of the alive, Vol.3, No.1, 1995, p.38-39 PDF
30. Vidybida A.K. Neuron as time coherence detector during stimulation from multiple synaptic inputs. J.Physiology(Kyiv), Vol.41, No.3-4, 1995, p.20-28.(Ukrainian)
31. Vidybida A.K. Neuron as time coherence discriminator. Biological Cybernetics, 74(6), 1996, 539-544 PDF
32. Vidybida A.K. Inhibition as binding controller at the single neuron level. Proc.Natn.Acad.Sci. Ukraine, 1996, 10, p.161-164.(Ukrainian)
33. Vidybida A.K. Inhibition as binding controller at the single neuron level. BioSystems, Vol. 48, 1998, p. 263-267 PDF
34. Vidybida A.K. Cooperative mechanism for improving discriminating ability in chemoreceptor neurons.Binomial case. Ukrainian J. Physics, Vol. 44(3), 1999, 407-411.(Ukrainian)
35. Vidybida A.K. Cooperative mechanism for improving discriminating ability in chemoreceptor neuron. Biological Cybernetics, Vol. 81(5/6), 1999, 469-473 PDF
36. Vidybida A.K. Selectivity of chemoreceptor neuron. BioSystems, 58(1-3), 2000, 125-132 PDF
37. Vidybida A.K., V. Erkizan, O. Altungoz, G. Celebi. Testing of nonlinear electrofrictiophoresis in agarose gel. Bioelectrochemistry, 52(1), 2000, 91-101.
38. Відибіда О.К., В.Еркiзан, О.Алтунгоз, Г.Челебi. Дослідження ефектів нелінійної диссипації при електрофорезі макромолекул в агарозному гелі. Фізика Живого, 9(1), 2001, 45--57.
39. Відибіда О.К. Шум адсорбції-десорбції як засіб підвищення селективності хімічних сенсорів. УФЖ, 48(7), 2003, 708--713.
40. Vidybida A.K. Computer simulation of inhibition-dependent binding in a neural network. BioSystems, 71, 2003, 205--212. PDF
41. Vidybida A.K. Adsorption-desorption noise can be used for improving selectivity. Sensors and Actuators A, 107, 2003, 233--237 PDF
42. Vidybida A.K., Usenko A.S., Kukla A.L., Pavluchenko A.S., Posudievsky O.Yu., Pokhodenko V.D. Structural characteristics of gas sensor based on conducting polymer. Journal of Optoelectronics and Advanced Materials, 7(6), 2005, 2815-2822 PDF
43. Відибіда О.К., О. С. Усенко, О. Л. Кукла, О. С. Павлюченкоo, О. Ю. Посудієвський, В. Д. Походенко. Характеристики сенсора на основі поліаніліну в стехіометрії (1<-->4). Сенсорна електроніка і мікросистемні технології т.4, 2006, 67-75
44. Vidybida A.K. Input-output relations in binding neuron. BioSystems , v.89, 2007, 160--165
45. Відибіда О.К. Вихідний потік зв'язуючого нейрона. Укр. Мат. Ж. , 59(12), 2007, 1619-1638 PDF
46. Vidybida A.K. Output stream of a binding neuron. Ukrainian Mathematical Journal, Springer US, vol. 59, no. 12, pp. 1819-1839 (2008) PDF
47. Vidybida A.K. Output stream of binding neuron with instantaneous feedback. Eur. Phys. J. B 65, 577-584 (2008) PDF
48. Vidybida A.K., Usenko A.S., Rospars J.P. Selectivity improvement in a model of olfactory receptor neuron with adsorption-desorption noise. Journal of Biological Systems 16(4), pp. 531545 (2008) PDF
49. Vidybida A.K. and K.G. Kravchuk. Output stream of binding neuron with delayed feedback. Eur. Phys. J. B 72, 279-287 (2009) PDF
50. Vidybida A.K. Testing of information condensation in a model reverberating spiking neural network. International Journal of Neural Systems, Vol. 21, No. 3 (2011) 187-198 PDF
51. Vidybida A.K. and K.G.Kravchuk. Delayed feedback makes neuronal firing statistics non-Markovian. Ukr. Math. J., 64(12), 2012, 1587-1609 PDF
52. Vidybida A.K. and K.G.Kravchuk. Spiking statistics of excitatory neuron with feedback. International Journal of Organizational and Collective Intelligence, (IGI Global), v 3(2), 2012, 1-42.
53. Vidybida A.K. and K.G.Kravchuk. Delayed feedback makes neuronal firing statistics non-Markovian. Ukr. Math. J.(Springer), v 64(12), 2013, 1793-1815 PDF (Purchase on Springer.com)
54. Vidybida A.K. and K.G.Kravchuk. Firing statistics of inhibitory neuron with delayed feedback. I. Output ISI probability density. BioSystems 112(3), 2013, 224–232 PDF
55. Kravchuk K.G. and Vidybida A.K. Firing statistics of inhibitory neuron with delayed feedback. II: Non-Markovian behavior. BioSystems 112(3), 2013, 233–248 PDF
56. Kravchuk K.G. and Vidybida A.K. Non-Markovian spiking statistics of a neuron with delayed feedback in presence of refractoriness. Mathematical Biosciences and Engineering 11(1), 2014, 81–104 PDF
57. Vidybida A.K. Output stream of leaky integrate-and-fire neuron. Reports of the National Academy of Science of Ukraine, 2014, 12, pp. 18–23 PDF
58. Vidybida A.K. Activity of Excitatory Neuron with Delayed Feedback Stimulated with Poisson Stream is Non-Markov. Journal of Statistical Physics, 160, (2015), 1507-1518 PDF
59. Vidybida A.K. Relation Between Firing Statistics of Spiking Neuron with Instantaneous Feedback and Without Feedback. Fluctuation and Noise Letters 14(4):1550034 (2015) PDF
60. Vidybida A.K. Output stream of leaky integrate-and-fire neuron without diffusion approximation J Stat Phys, 166(2), 267-281 (2017) PDF
61. Vidybida A.K. and O.Shchur. Information reduction in a reverberatory neuronal network through convergence to complex oscillatory firing patterns. BioSystems, 161, 24-30 (2017) PDF
62. Vidybida A.K. and O.Shchur. Relation Between Firing Statistics of Spiking Neuron with Delayed Fast Inhibitory Feedback and Without Feedback. Fluctuation and Noise Letters, 17(1) 1850005 (2018) PDF
63. Vidybida A.K. Fast Cl-type inhibitory neuron with delayed feedback has non-Markov output statistics. Journal of Physical Studies, 22(4) 4801 (2018) PDF
64. Vidybida A.K. Simulating leaky integrate-and-fire neuron with integers. Mathematics and Computers in Simulation, 159, 154-160 (2019) PDF
65. Vidybida A.K.Possible Stochastic Mechanism for Improving the Selectivity of Olfactory Projection Neurons, Neurophysiology, Vol. 51, No. 3, May, 2019 PDF
66. Vidybida A.K. Calculating Permutation Entropy without Permutations. Complexity 2020:7163254 (2020) download
67. Vidybida A.K. and O.Shchur. MOMENT-GENERATING FUNCTION OF OUTPUT STREAM OF LEAKY INTEGRATE-AND-FIRE NEURON Ukr. J. Phys. 2021. Vol. 66, No. 3 download
68. A.K.Vidybida. Harnessing thermal fluctuations for selectivity gain, 2022 IEEE International Symposium on Olfaction and Electronic Nose (ISOEN), 2022, pp. 1-3, doi: 10.1109/ISOEN54820.2022.9789678. download
69. A.Vidybida and O.Shchur. From chaos to clock in recurrent neural net. Case study. BioSystems 220 (2022) 104739 PDF
70. O.Shchur and A.Vidybida. Distribution of Interspike Intervals of a Neuron with Inhibitory Autapse Stimulated with a Renewal Process. Fluctuation and Noise Letters 2023 22:01, doi: 10.1142/S0219477523500037. PDF
71. O.K.Vidybida. Maximization of the olfactory receptor neuron selectivity in the sub-threshold regime. Ukr. J. Phys. 68, No. 4, 266 (2023) PDF
72. A.K.Vidybida. Selectivity Gain in Olfactory Receptor Neuron at Optimal Odor Concentration, in: 2024 IEEE International Symposium on Olfaction and Electronic Nose (ISOEN) :1-3 (2024), DOI: 10.1109/ISOEN61239.2024.10556323. download

Book chapters:

Vidybida A.K. and K.G. Kravchuk. Output stream of binding neuron with feedback. In: J.Jozefchyk and D.Orsky (eds.) Knowledge-based Intelligent System Advancements: Systemic and Cybernetic Approaches, Chapter 10, pp. 182-215, IGI Global (USA), 2010 PDF

Vidybida A.K. Binding neuron. In: Mehdi Khosrow-Pour (ed). Encyclopedia of information science and technology, Third Edition, IGI Global, Hershey PA, 2014, pp. 1123--1134 PDF

Published proceedings:

Vidybida A.K., Serikov A.A. Spectral characteristics of a charge transport in helical macromolecules. In book: Spectroscopy of condensed matter, Naukova Dumka, Kyiv, 1988, p.142-150.(Russian)
Vidybida A.K. Sensitivity estimation of a bistable chemical system to microwave radiation of non-thermal intensity. In book:"Apparatus "ELEKTRONIKA-KVCh" and its application in medicine", editor: L.G.Gassanov, NPO "Saturn", Moscow, 1991, p.58-61.(Russian)
Vidybida A.K. Hypersensitivity of a cooperative system to low-intensive microwaves at physiological temperature. In book: "Electromagnetic Hypersensitivity, 2nd Copenhagen Conference", 1995, p.121-123.
Vidybida A.K. Information processing in a pyramidal-type neuron. In: "BioNet'96 - Biologieorientierte Informatik und pulspropagierende Netze", 3-d Workshop 14-15 Nov. 1996, p.96-99. Editor G. Heinz, GFaI-Berlin 1996, ISBN 3-00-001107-2.
Vidybida A.K. Inhibition as binding controller at the level of a single neuron (Information processing in a pyramidal-type neuron). In: "De la Cellule au Cerveau", G. Zaccai, J. Massouli\'e and F. David, eds., Les Houches, Session 65, 8 Juillet - 26 Juillet 1996, Elsevier 1998. p. 219-226, ISBN: 0444500863.
Vidybida A.K. Cooperative mechanism for improving discriminating ability in chemoreceptor neuron and other sensory devices. In: ``Optoelectronic Information Technologies" - S.V.Svechnikov, V.P.Kojemiako, S.Al.Kostyukevich, Editors. Proceedings of SPIE, v.4424, 2001, p. 177-182, ISBN 0277-786X, ISBN 0-8194-4136-8.
Vidybida A.K. Output stream of binding neuron with delayed feedback. In: 14th International Congress of Cybernetics and Systems of WOSC, Wroclaw, September 9-12, 2008, Proceedings, p. 292-302 PDF

Patent:

Відибіда О.К., О.Л.Кукла, О.С.Павлюченко, Ю.М.Ширшов. Хімічний сенсор для аналізу складу газових сумішей. Деклараційний патент на винахід, Україна, 63780 А, 15.01.2004. Бюл.No 1 PNG

Book:

A.K.Vidybida. Stochastic Models, 2006, ISBN 966-02-3882-7 ( Book, 2006)

Thesis:

Dynamical mechanisms of influence of alternative electromagnetic fields on macromolecular and cooperative systems, 1999 PDF