311:
49:
438:, modeling non-equilibrium flows, in the kinetic theory of phonons, for model reduction in chemical kinetics, and modeling liquid polymers. He developed new methods for application of the Lattice Boltzmann's Method, based on its thermodynamical properties. Gorban has developed a mathematical model of the
418:, Gorban has investigated the thermodynamical properties of chemical systems based on the analysis of Lyapunov's function trees in the polytope of conservation laws. He developed a theory of thermodynamically admissible paths for complex multidimensional systems of chemical thermodynamics and kinetics.
477:
method) and their generalizations (principal graphs, principal trees), based on the mechanical analogy with elastic membrane. The method has found numerous applications for visualization and analysis of economical, sociological and biological data. In collaboration with E.M. Mirkes and other authors,
269:
In 1973-1976 he worked in the Omsk
Institute Of Transport Engineers and published his first scientific works, but his scientific career could not develop successfully because of his past political record. He had several temporary work places from 1976 to 1978, each time being compelled to resign, but
453:
Gorban developed highly efficient parallel methods for artificial neural networks (ANN) learning, based on systematic use of duality of their functioning, and developed methods of knowledge extraction from data based on sparse ANNs. He proved the theorem of universal approximation properties of ANN.
445:
In the mathematical theory of natural selection, Gorban developed a theory of a special class of dynamical systems with inheritance. He discovered and explained theoretically the universal phenomenon of system adaptation under stress conditions, leading to simultaneous increase of correlations and
425:
and his team he developed methods of mathematical modeling and analysis of chemical system models for kinetics of catalytic reactions. He investigated the relaxation properties of some chemical systems and developed the singularity theory for transient processes of dynamical systems, developed the
426:
method of path summation for solving the chemical kinetics equations, developed a theory of dynamic limitation and asymptotology of chemical reaction networks which was applied to modeling of biological signalling networks and mechanisms of microRNA action on translation regulation.
298:
he became the head of the
Laboratory of Non-Equilibrium Systems in 1989 and completed his habilitation in 1990. In 1995 he became the deputy director of the Institute of Computational Modeling and head of the Computational Mathematics Department. At the same time, he taught at
429:
Gorban has developed a series of methods for solving equations of chemical and physical kinetics, based on constructive methods of invariant manifold approximation. This theory has found many applications in the construction of physically consistent
454:
All these approaches have found numerous applications in existing expert systems. Together with I. Tyukin, he developed a series of methods and algorithms for fast, non-iterative and non-destructive corrections of errors in legacy
274:
where he was permanently employed at the
Institute of Computational Modeling. In 1980, Gorban obtained his Candidate of Sciences diploma, corresponding to PhD in the Russian scientific degree hierarchy. His thesis title was
485:
for analysis of nucleotide and amino acid sequences. He investigated the general properties of compact genomes and proved the existence of a 7-cluster structure in the genome sequence, which was applied for solving the
400:. A top level view of scientific activity and the future of applied mathematics have been given in his book "Demon of Darwin: idea of optimality and natural selection", articles and public lectures.
442:
and estimated its achievable efficiency in energy capture. He investigated general problems of geometrical interpretation of thermodynamics and general properties of non-classical entropies.
262:
After studying for a year in a vocational technical school and following an individual extramural program at Omsk
Pedagogical Institute, he obtained a master's degree with a thesis entitled
952:
Bugaenko N.N., Gorban A.N., Sadovsky M.G. Towards the
Determination of Information Content of Nucleotide Sequences (in Russian), Molekulyarnaya Biologiya 30(3) (1996), 529–541.
913:
1131:
577:
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Approximation of continuous functions of several variables by an arbitrary nonlinear continuous function of one variable, linear functions, and their superpositions
104:
251:
but was excluded from it in autumn 1969 because of his participation in
January 1968 in political student movements against the convictions of Soviet writers
1136:
339:
244:
343:
239:
on 19 April 1952. His father
Nikolai Vasilievich Gorban was a historian and writer exiled to Siberia, and his mother was a literature teacher in
204:
Gorban is the author of about 20 books and 300 scientific publications. He has founded several scientific schools in the areas of physical and
478:
used machine learning methods for connecting individual psychological characteristics and predisposition to consuming certain types of drugs.
685:
595:
185:, and director of its Mathematical Modeling Centre. Gorban has contributed to many areas of fundamental and applied science, including
470:
240:
92:
247:
on
Physics, Mathematics, Chemistry and Biology of Novosibirsk State University (SESC NSU). In 1967, at the age of 15, he entered
1121:
216:, and is ranked as one of the 1000 most cited researchers of Russian origin. In 2020, Gorban presented a keynote talk at the
190:
632:
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482:
323:
300:
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88:
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Lifetime
Achievement Award in recognition of outstanding contributions to the research field of (bio)chemical kinetics;
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1116:
389:
304:
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1083:
435:
393:
335:
213:
128:
1111:
797:
404:
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developed by Gorban is now applied as a method of diagnostics and prognosis for economics and human physiology.
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Kinetic path summation, multi-sheeted extension of master equation, and evaluation of ergodicity coefficient
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310:
182:
149:
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in Banach spaces, formulated the relevant principle of maximum modulus and proved an analogue of the
358:
198:
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Equilibrium encircling. Equations of chemical kinetics and their thermodynamic analysis (in
Russian)
385:
377:
288:
186:
107:, for extraordinary contribution into theory and applications of artificial neural networks (2017);
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Singularities Of Transition Processes In Dynamical Systems: Qualitative Theory Of Critical Delays.
525:
691:
663:
422:
327:
280:
252:
823:
481:
In bioinformatics Gorban was one of the first to apply the method of frequency dictionaries and
835:
A.N. Gorban, I.V. Karlin Geometry of irreversibility: The film of nonequilibrium states. ArXiv
648:, Lecture Notes in Computational Science and Engineering. — Springer, 2008. — Vol. 58. — 340 p.
1046:"Conference Report on 2020 IEEE World Congress on Computational Intelligence (IEEE WCCI 2020)"
900:
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591:
539:
Thermodynamic Equilibria and Extrema: Analysis of Attainability Regions and Partial Equilibria
205:
334:
In the 1990s, Gorban visited several mathematical institutes in US and Europe, including the
314:
The Program Committee of the Russian Conference "Mathematical Methods in Chemical Kinetics",
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937:
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17:
557:. Comprehensive Chemical Kinetics. Vol. 32. Amsterdam–Oxford–New York–Tokyo: Elsevier
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Hilbert's 6th Problem: exact and approximate hydrodynamic manifolds for kinetic equations
537:
A.N. Gorban, B.M. Kaganovich, S.P. Filippov, A.V. Keiko, V.A. Shamansky, I.A. Shirkalin,
914:
Blessing of dimensionality: mathematical foundations of the statistical physics of data.
1019:
397:
256:
178:
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122:
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771:
695:
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551:
Yablonsky, G.S.; V.I. Bykov; A.N. Gorban'; V.I. Elokhin (1991). Compton, R.G. (ed.).
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In functional analysis, Gorban has investigated the properties of analytical
381:
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Morozova N, Zinovyev A, Nonne N, Pritchard LL, Gorban AN, Harel-Bellan A.,
303:(1981-1991) and subsequently headed the Neuroinformatics Department at the
582:. Lecture Notes in Physics (LNP, vol. 660). Berlin, Heidelberg: Springer.
277:
Slow relaxations and bifurcations of omega-limit sets of dynamical systems
836:
658:
Fehrman E, Egan V, Gorban AN, Levesley J, Mirkes EM, Muhammad AK (2019).
735:, SIAM J. Applied Dynamical Systems, Vol. 12, No. 1 (2013), pp. 246-278.
962:
513:
Demon of Darwin: Idea of optimality and natural selection (in Russian)
800:, Bulletin of the American Mathematical Society, 51(2), 2014, 186-246
601:
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under the supervision of Russian mathematician Vladimir B. Melamed.
264:
Sets of removable singularities in Banach spaces and continuous maps
668:
587:
111:
MaCKIE-2015, Mathematics in (bio)Chemical Kinetics and Engineering.
110:
48:
874:
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810:
758:
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Principal Manifolds for Data Visualization and Dimension Reduction
722:
Electronic Journal of Differential Equations, Monograph 05, 2004.
469:
In applied statistics, Gorban developed methods for constructing
446:
variance in the multidimensional space of system parameters. The
963:
The mystery of two straight lines in bacterial genome statistics
236:
217:
72:
987:
357:
In 2004, Gorban became Professor of Applied Mathematics at the
992:
347:
826:, Journal of Energy Resources Technology 123 (2001), 311-317.
660:
Personality Traits and Drug Consumption. A Story Told by Data
1031:
811:
Nonequilibrium entropy limiters in lattice Boltzmann methods
279:(translated later into English ). His viva was organized by
125:
medal for the work in non-equilibrium thermodynamics (2003);
1002:
886:
Gorban A.N., Tyukina T.A., Pokidysheva L.I., Smirnova E.V.
864:. Math. Model. Nat. Phenom. Vol. 2, No. 4, 2007, pp. 1-45.
512:
875:
Correlations, risk and crisis: From physiology to finance
361:, UK, and the chair of its Mathematical Modeling Centre.
965:, Bulletin of Mathematical Biology 69 (2007), 2429–2442.
997:
645:
579:
Invariant Manifolds for Physical and Chemical Kinetics
916:
Phil. Trans. R. Soc. A 376 (2118) (2018), 20170237.
824:
Limits of the turbine efficiency for free fluid flow
376:
Gorban's scientific contributions have been made in
761:, Chemical Engineering Science 65 (2010) 2310–2324.
644:Gorban A.N., Kegl B., Wunch D., Zinovyev A. (eds.)
144:
98:
83:
55:
34:
785:Method of invariant manifold for chemical kinetics
635:(in Russian). - Novosibirsk: Science, 1996, 276 p.
1079:The future of applied mathematics. Public lecture
733:Thermodynamic Tree: The Space of Admissible Paths
903:, Appl. Math. Lett., Vol. 11 (3) (1998), 45-49.
888:Dynamic and thermodynamic models of adaptation
862:Selection Theorem for Systems With Inheritance
772:Kinetic signatures of microRNA modes of action
576:Gorban, Alexander N.; Karlin, Ilya V. (2005).
220:World Congress on Computational Intelligence.
541:, Springer, Berlin-Heidelberg-New York, 2006.
466:and original stochastic separation theorems.
8:
1003:The mathematical theory of natural selection
993:Thermodynamics in chemical reaction networks
1044:Hussain, A; Polycarpou, MM; Yao, X (2021).
759:Asymptotology of chemical reaction networks
873:Gorban A.N., Smirnova E.V., Tyukina T.A.,
822:Gorban A.N., Gorlov A.N., Silantyev V.M.,
757:Gorban A.N., Radulescu O., Zinovyev A.Y.,
714:
712:
622:, Moscow: USSR-USA Paragraph, 1990, 160 p.
340:Courant Institute of Mathematical Sciences
47:
31:
1061:
998:Methods of non-linear principal manifolds
890:. Physics of Life Reviews 37, 2021, 17-64
809:Brownlee R.A., Gorban A.N., Levesley J.,
787:, Chem. Eng. Sci.. 58, (2003), 4751-4768.
667:
245:Specialized Educational Scientific Center
1132:Academics of the University of Leicester
1050:IEEE Computational Intelligence Magazine
458:systems. These methods are based on the
344:Institut des Hautes Etudes Scientifiques
309:
1008:
877:, Physica A 389 (16) (2010), 3193-3217.
708:
507:
505:
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837:https://arxiv.org/abs/cond-mat/0308331
813:, Physica A 387 (2-3) (2008), 385-406.
305:Krasnoyarsk State Technical University
936:Neural Networks, 94 (2017), 255-259.
849:Entropy: The Markov ordering approach
554:Kinetic Models of Catalytic Reactions
27:Russian-British scientist (born 1952)
7:
847:Gorban A.N., Gorban P.A., Judge G.,
633:Neural networks on personal computer
528:. Novosibirsk: Science, 1984, 226 p.
1137:Novosibirsk State University alumni
105:Pioneer of Russian Neuroinformatics
851:, Entropy 12(5) (2010), 1145-1193.
148:Center for Mathematical Modeling,
25:
748:, Physica A 390 (2011) 1009-1025.
243:. In 1965-1966 he studied at the
93:Omsk State Pedagogical University
235:Alexander N. Gorban was born in
934:Stochastic separation theorems.
983:Alexander N. Gorban's homepage
515:Nauka (FizMatGiz), 1988, 208p.
191:non-equilibrium thermodynamics
91:and Mathematics department of
1:
961:Gorban A.N., Zinovyev A. Y.,
511:Gorban A.N., Khlebopros R.G.
490:gene identification problem.
227:and more than 30 PhD theses.
171:Александр Николаевич Горба́нь
942:10.1016/j.neunet.2017.07.014
932:Gorban, A.N., Tyukin, I.Y.
483:Principle of maximum entropy
322:, 1980. From left to right:
301:Krasnoyarsk State University
249:Novosibirsk State University
163:Alexander Nikolaevich Gorban
89:Novosibirsk State University
42:Александр Николаевич Горбань
36:Alexander Nikolaevich Gorban
18:Alexander Nikolaevich Gorban
912:Gorban, A.N., Tyukin, I.Y.
774:. RNA 18(9) (2012), 1635-55
631:Gorban A.N., Rosieev D.A.,
390:theory of natural selection
364:Gorban is a stepbrother of
326:, V.I. Bykov, A.N. Gorban,
181:. He is a professor at the
1158:
783:Gorban A.N., Karlin I.V.,
394:artificial neural networks
336:Clay Mathematics Institute
241:Omsk Pedagogical Institute
214:artificial neural networks
1032:http://www.scientific.ru/
678:10.1007/978-3-030-10442-9
170:
156:
137:
46:
41:
1063:10.1109/MCI.2020.3039042
1018:publications indexed by
796:Gorban A.N., Karlin I.,
620:Training neural networks
460:concentration of measure
392:, theory of adaptation,
223:Gorban has supervised 6
210:dynamical systems theory
988:Correlation adaptometry
456:Artificial intelligence
448:Anna Karenina principle
436:Hilbert's sixth problem
183:University of Leicester
177:origin, working in the
150:University of Leicester
119:Research Fellow (2010);
1122:Russian mathematicians
922:10.1098/rsta.2017.0237
440:Gorlov helical turbine
416:mathematical chemistry
352:Isaac Newton Institute
331:
294:With the beginning of
117:Isaac Newton Institute
87:Physics department of
464:statistical mechanics
409:Remmert-Stein theorem
396:, physical kinetics,
313:
173:) is a scientist of
1086:(Video, in Russian).
462:phenomena, ideas of
359:Leicester University
199:mathematical biology
1142:Transport engineers
1016:Alexander N. Gorban
718:Gorban A.N. (2005)
705:Selected articles:
471:principal manifolds
386:functional analysis
378:theoretical physics
289:George M. Zaslavsky
285:Mark Krasnosel'skii
187:statistical physics
1127:Russian dissidents
1117:Russian physicists
731:Gorban A.N. (2013)
662:. Springer, Cham.
604:on 19 August 2020.
423:Grigoriy Yablonsky
332:
281:Olga Ladyzhenskaya
253:Alexander Ginzburg
687:978-3-030-10441-2
597:978-3-540-22684-0
372:Research activity
206:chemical kinetics
160:
159:
139:Scientific career
16:(Redirected from
1149:
1112:People from Omsk
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498:Selected books:
405:Fredholm subsets
366:Svetlana Kirdina
320:Krasnoyarsk Krai
195:machine learning
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421:Together with
398:bioinformatics
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330:, A.N.Ivanova.
328:G.S. Yablonsky
270:then moved to
257:Yuri Galanskov
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179:United Kingdom
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307:(1993-2006).
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602:the original
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559:. Retrieved
553:
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524:Gorban A.N.
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494:Bibliography
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475:Elastic maps
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316:Shushenskoye
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145:Institutions
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77:Soviet Union
29:
1102:1952 births
296:Perestroika
272:Krasnoyarsk
123:Prigogine's
1096:Categories
669:2001.06520
62:1952-04-19
696:151160405
382:mechanics
231:Biography
1084:YouTube
607:Alt URL
561:13 June
488:de novo
175:Russian
167:Russian
1034:, 2012
694:
684:
594:
287:, and
99:Awards
972:Notes
692:S2CID
664:arXiv
682:ISBN
592:ISBN
563:2016
255:and
237:Omsk
218:IEEE
212:and
197:and
152:, UK
129:Clay
73:Omsk
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