- Architecture of
neurocomputers and training algorithms for neural networks,
- Dynamics of systems of
physical, chemical and biological kinetics,
- Human adaptation to hard
- Methods and technologies
of collective thinking.
Publications and Preprints for more publications and their
Teaching: Data Mining
(The online course is in preparation. See
SOM and GSOM applet, K-means
and K-medoids applet and kNN and Potential energy applet prepared by
Data cartography: Political Atlas of the World, Mining Historical Data
– Vox Dei!
“The voice of the people is the
voice of God”
are citations from the scientific journals,
which belong to the ISI Web of Knowledge database,
to papers and books by A. N. Gorban.
in Google Scholar
Science Researcher ID
of Books, Recent Talks & Major Papers:
Gorban, B. Kegl, D. Wunsch, A. Zinovyev
Manifolds for Data Visualisation and Dimension Reduction, Lecture
Notes in Computational Science and Engineering, Vol. 58,
Springer, Berlin – Heidelberg – New York, 2007. (ISBN 978-3-540-73749-0)
- Model Reductionand Coarse--Graining
Approaches for Multiscale Phenomena, Ed. by Alexander N. Gorban,
Ioannis G. Kevrekidis,
Hans Christian Öttinger, Constantinos
Theodoropoulos, Springer, Berlin-Heidelberg-New York, 2006.
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
Berlin-Heidelberg-New York, 2006.
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)] [Preface-Contents-Introduction(pdf)]
[Editorial Reviews (htm)][Authors(gif)] Russian web-site with this book
- G.S.Yablonskii, V.I.Bykov, A.N. Gorban, and
V.I.Elokhin, Kinetic Models of Catalytic
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), 5484-5485; (2) G. Wedler
in Chem.-Ing.-Tech. 64 (1992) (8),
Gorban, I. Karlin, Hilbert's
6th Problem: exact and approximate hydrodynamic manifolds for kinetic
equations, Bulletin of the American Mathematical Society,
51(2), 2014, 186-246
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.
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)
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. 28-59
(and also arXiv:0809.0490v1
N. Gorban, Selection Theorem for
Systems with Inheritance, Math. Model. Nat. Phenom., Vol.
2, No. 4, 2007, pp. 1-45. The original publication is available at www.edpsciences.org
Gorban, I.V. Karlin, A.Y. Zinovyev, Constructive
methods of invariant manifolds for kinetic problems Phys. Rep.,
396, 2004, 197-403 PhysRepCorr.pdf
N. Gorban, I.V. Karlin, Method of
invariant manifold for chemical kinetics, Chem. Eng. Sci.. 58, 2003, 4751-4768: Elsevier Most Cited Paper
Award for this paper DIPLOMA
of transition processes in dynamical systems: Qualitative theory of
critical delays, Electron.
Eqns., Monograph 05, 2004, (55 pages).
Gorban, I.V. Karlin, Hydrodynamic manifolds for kinetic
equations, CDT in Fluid Dynamics across Scales: Summer School,
Imperial College London, July 11, 2016.
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, 8th July 2015.
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, 7th
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
- 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. Harel-Bellan.
Gorban, Geometry of data sets,
an invited talk given at ESOF2010 (Euroscience
Open Forum, Torino, July 2-7, 2010)
Gorban, Limiters for LBM, an
invited plenary talk given at DSFD2010 (19th Discrete Simulation of Fluid Dynamics, 5-9
July 2010, Rome, Italy), Joint work with Robert A. Brownlee and
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
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.
disassembling of biological machines Workshop Theoretical Approaches
for the Genome 8–10 November 2006 LAPTH, Annecy-le-Vieux, France.
Gorban, D.J. Packwood, Enhancement
of the stability of lattice Boltzmann methods by dissipation control,
Physica A 414
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), 279-290.
N. Gorban, Thermodynamic Tree:
The Space of Admissible Paths, SIAM J. Applied
Dynamical Systems, Vol. 12, No. 1 (2013), pp. 246-278. DOI:
10.1137/120866919 arXiv e-print
Gorban, E.M. Mirkes, G.S. Yablonsky, Thermodynamics
in the limit of irreversible reactions, Physica
A 392 (2013) 1318–1335.
Morozova, A. Zinovyev, N. Nonne,
L.-L. Pritchard, A. N. Gorban, A. Harel-Bellan Kinetic
signatures of microRNA modes of action RNA, Vol. 18,
No. 9 (2012) 1635-1655.
Gorban, P.A. Gorban, G. Judge, Entropy: The Markov Ordering
Approach. Entropy 12(5):1145-1193 (corrected postprint). Entropy
Best Paper Award” for 2014..
Gorban, E.V. Smirnova, T.A. Tyukina, Correlations, risk and crisis: From
physiology to finance, Physica
A, Vol. 389, Issue 16, 2010, 3193-3217. Number 9 in the Top Hottest Articles in
the Journal, April to June 2010.
N. Gorban, O. Radulescu, A.Y. Zinovyev Asymptotology of chemical reaction networks,
Chemical Engineering Science 65 (2010) 2310–2324.
Brownlee, A.N. Gorban, and J. Levesley, Nonequilibrium
entropy limiters in lattice Boltzmann methods, Physica
A 387, Issues 2-3, 15 January 2008.
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. 311-317.
- A.N. Gorban, V.N. Kolokoltsov, Generalized Mass Action Law and Thermodynamics of Nonlinear Markov
- Evgeny M. Mirkes, Thomas Walsh, Edward J. Louis, Alexander N. Gorban, Long and short range multi-locus QTL
interactions in a complex trait of yeast, arXiv:1503.05869 [q-bio.GN]
- Alexander N. Gorban, Alexander Pitenko, Andrei Zinovyev, ViDaExpert: user-friendly tool for nonlinear
visualization and analysis of multidimensional vectorial
- A. Zinovyev, A.N. Gorban, Nonlinear Quality of Life Index, arXiv:1008.4063 [cs.NE]
For other publications see:
Last modified: October 09, 2015