Alexander N. Gorban'
Research interests:
 Architecture of neurocomputers and training algorithms for
neural networks,
 Dynamics of systems of physical, chemical and biological
kinetics,
 Human adaptation to hard living conditions,
 Methods and technologies of collective thinking.
See Selected
Publications and Preprints for more publications and their
abstracts.
Events: Previous
and Forthcoming
Teaching: Data Mining
(The online course is in preparation. See
PCA,
SOM and GSOM applet, Kmeans
and Kmedoids applet and kNN and Potential energy
applet prepared by E.M. Mirkes)
Data cartography: Political Atlas of the World, Mining Historical Data
Vox Populi – Vox Dei!
“The voice of the people is the
voice of God”
Here
are citations from the scientific journals,
which
belong to the ISI Web of Knowledge database,
to
papers and books by A. N. Gorban.
My
Citations in Google Scholar
Web of
Science Researcher ID
Some of Books, Recent Talks & Major Papers:
Books
 A. Gorban, B. Kegl, D. Wunsch, A. Zinovyev (Eds.), Principal
Manifolds for Data Visualisation and Dimension Reduction, Lecture
Notes in Computational Science and Engineering, Vol. 58, Springer,
Berlin – Heidelberg – New York, 2007. (ISBN
9783540737490)
 Model Reductionand
CoarseGraining Approaches for Multiscale Phenomena, Ed. by Alexander
N. Gorban, Nikolaos Kazantzis, Ioannis G. Kevrekidis, Hans Christian Öttinger,
Constantinos Theodoropoulos, Springer, BerlinHeidelbergNew York, 2006.
 A.N. Gorban, B.M.
Kaganovich, S.P. Filippov, A.V. Keiko, V.A. Shamansky, I.A. Shirkalin, Thermodynamic
Equilibria and Extrema: Analysis of Attainability Regions and Partial
Equilibria, Springer,
BerlinHeidelbergNew York, 2006.
 A.N. Gorban, I.V. Karlin, Invariant
Manifolds for Physical and Chemical Kinetics, Lect.
Notes Phys. 660, Springer, Berlin, Heidelberg, 2005. [Review in Bull. London Math. Soc. 38
(2006) (pdf)] [Review in Zentralblatt Math.
(2006) (pdf)] [Abstract(txt)] [PrefaceContentsIntroduction(pdf)] [Editorial Reviews (htm)][Authors(gif)]
Russian website with this book
 G.S.Yablonskii, V.I.Bykov, A.N. Gorban, and V.I.Elokhin, Kinetic
Models of Catalytic Reactions (Comprehensive
Chemical Kinetics, V.32, ed. by R.G. Compton), Elsevier, Amsterdam,
1991, 396p. (Reviews on this book: (1) W.H.
Weinberg in J. Am. Chem. Soc. 114 (13) (1992), 54845485; (2) G. Wedler in Chem.Ing.Tech.
64 (1992) (8), 767768)
Review
papers
 A.N. Gorban, I. Karlin, Hilbert's
6th Problem: exact and approximate hydrodynamic manifolds for kinetic equations,
Bulletin of the American Mathematical Society, 51(2), 2014, 186246
 A.N. Gorban, H.P. Sargsyan and H.A. Wahab, Quasichemical Models of
Multicomponent Nonlinear Diffusion, Mathematical Modelling of
Natural Phenomena, Volume 6 / Issue 05, (2011), 184−262.
 A.N. Gorban, A. Zinovyev. Principal
manifolds and graphs in practice: from molecular biology to dynamical systems,
International Journal of Neural Systems, Vol. 20, No. 3 (2010)
219–232.
 A.N. Gorban, A.Y. Zinovyev, Principal
Graphs and Manifolds, Chapter 2 in: Handbook of Research on Machine
Learning Applications and Trends: Algorithms, Methods, and Techniques, Emilio
Soria Olivas et al. (eds), IGI Global, Hershey, PA,
USA, 2009, pp. 2859 (and also arXiv:0809.0490v1
[cs.LG])
 A. N. Gorban, Selection
Theorem for Systems with Inheritance, Math. Model. Nat. Phenom., Vol.
2, No. 4, 2007, pp. 145. The original publication is available at www.edpsciences.org
 A.N. Gorban, I.V. Karlin, A.Y. Zinovyev, Constructive
methods of invariant manifolds for kinetic problems Phys. Rep., 396,
2004, 197403 PhysRepCorr.pdf
 A. N. Gorban, I.V. Karlin, Method
of invariant manifold for chemical kinetics, Chem. Eng. Sci.. 58, 2003,
47514768: Elsevier Most Cited Paper Award for this paper DIPLOMA (jpg)
 A.N. Gorban, Singularities
of transition processes in dynamical systems: Qualitative theory of critical
delays, Electron. J. Diff. Eqns., Monograph 05, 2004, (55
pages).
Selected
Talks
 Fehrman, E.M. Mirkes, A.K. Muhammad, V. Egan, A.N. Gorban, The
five factor model of personality and evaluation of drug consumption risk, Conference of the International
Federation of Classification Societies, University of Bologna, 8^{th}
July 2015.
 E. Mirkes, T. Walsh, E.J. Louis, and A.N. Gorban, Bootstrap test of
ordered RIG for multiple testing in genomics of Quantitative Trait Loci in
yeasts, Conference of the International Federation of
Classification Societies, University of Bologna, 7^{th} July 2015.
 A.N. Gorban, Evolution
of adaptation mechanisms: adaptation “energy”, stress, and oscillating death,
an invited talk given at International conference Modelling
Biological Evolution 2015: Linking Mathematical Theories with Empirical
Realities April 28  May 1, 2015, University of Leicester, UK.
 Kinetic signatures of
microRNA mechanisms, a poster associated with the paper Kinetic signatures of microRNA modes of action, RNA,
Vol. 18, No. 9 (2012) by N. Morozova, A. Zinovyev, N. Nonne, L.L. Pritchard, A.N. Gorban, and A. HarelBellan.
 A.N. Gorban, Geometry of data sets, an
invited talk given at ESOF2010 (Euroscience Open Forum, Torino, July 27, 2010)
 A.N. Gorban, Limiters for LBM, an invited plenary
talk given at DSFD2010
(19th Discrete Simulation of
Fluid Dynamics, 59
July 2010, Rome, Italy), Joint work with Robert A. Brownlee and Jeremy
Levesley
 Alexander Gorban and Ivan
Tyukin, A
dreaming machine with ghost memory states, A talk given at the Mathematics
of the Brain Research LMS Workshop, Ambleside, Lake District, UK, September 1 – 2, 2009
 A.N. Gorban, A.Yu.
Zinovyev, N.R. Sumner, Elastic Maps, Graphs, and Topological Grammars, Presentation, A talk given at the School
of Computer Science and Information Systems, Birkbeck College, University
of London March 21, 2006.
 A.N. Gorban, Informational disassembling of
biological machines Workshop Theoretical Approaches
for the Genome 8–10 November 2006 LAPTH, AnnecyleVieux, France.
Papers
 A.N. Gorban, D.J. Packwood, Enhancement of the stability of lattice
Boltzmann methods by dissipation control, Physica A 414 (2014)
285–299.
 E.M. Mirkes, I. Alexandrakis, K. Slater, R. Tuli,
A.N. Gorban Computational diagnosis and risk evaluation for canine lymphoma, Computers in Biology and Medicine, 53
(2014), 279290.

A. N. Gorban, Thermodynamic
Tree: The Space of Admissible Paths, SIAM J. Applied
Dynamical Systems, Vol. 12, No. 1 (2013), pp. 246278. DOI:
10.1137/120866919 arXiv
eprint
 A.N. Gorban, E.M. Mirkes, G.S. Yablonsky, Thermodynamics in the limit of irreversible
reactions, Physica A 392 (2013) 1318–1335.
 N.
Morozova, A. Zinovyev, N. Nonne, L.L. Pritchard, A. N. Gorban, A. HarelBellan
Kinetic
signatures of microRNA modes of action RNA, Vol. 18, No. 9 (2012)
16351655.

A.N. Gorban, P.A. Gorban, G. Judge,
Entropy: The Markov
Ordering Approach. Entropy 12(5):11451193 (corrected postprint).
Entropy Best Paper Award” for 2014..

A.N. Gorban, E.V. Smirnova, T.A. Tyukina, Correlations, risk and
crisis: From physiology to finance, Physica A, Vol. 389,
Issue 16, 2010, 31933217. Number 9 in the
Top Hottest Articles in the Journal, April to June 2010.

A. N. Gorban, O. Radulescu, A.Y. Zinovyev Asymptotology
of chemical reaction networks, Chemical Engineering Science 65
(2010) 2310–2324.

R.A. Brownlee, A.N. Gorban, and J. Levesley, Nonequilibrium entropy limiters in
lattice Boltzmann methods, Physica A 387, Issues 23,
15 January 2008.

A.N. Gorban, A.N. Gorlov, V.M. Silantyev, Limits
of the Turbine Efficiency for Free Fluid Flow, Journal of Energy
Resources Technology  December 2001  Volume 123, Issue 4, pp. 311317.
Preprints
 A.N. Gorban, V.N. Kolokoltsov, Generalized Mass Action
Law and Thermodynamics of Nonlinear Markov Processes, arXiv:1504.08317
[physics.chemph]
 Evgeny M. Mirkes, Thomas
Walsh, Edward
J. Louis, Alexander
N. Gorban, Long and short range multilocus QTL interactions in a complex trait of
yeast, arXiv:1503.05869 [qbio.GN]
 Alexander N. Gorban, Alexander
Pitenko, Andrei
Zinovyev, ViDaExpert:
userfriendly tool for nonlinear visualization and analysis of multidimensional
vectorial data, arXiv:1406.5550 [cs.MS]
 A. Zinovyev, A.N.
Gorban, Nonlinear Quality of Life Index, arXiv:1008.4063 [cs.NE]
For other publications see:
The
Mirrow
Last modified: October 09, 2015