Alexander N. Gorban'

Chair in Applied Mathematics, University of Leicester, UK
Chief Scientist, Institute of Computational Modeling, Krasnoyarsk, Russia
Curriculum Vitae , list of publications and summary of research

E-mail: ag153(at)le.ac.uk

Related pages:
Nonequilibrium
Adaptometry
narod1,
narod2
darwin
PCA

The Artist Anna 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

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.

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 978-3-540-73749-0)

· Model Reduction and Coarse--Graining Approaches for Multiscale Phenomena, Ed. by Alexander N. Gorban, Nikolaos Kazantzis, Ioannis G. Kevrekidis, Hans Christian Öttinger, Constantinos Theodoropoulos, Springer, Berlin-Heidelberg-New 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, Berlin-Heidelberg-New 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)] [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 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), 5484-5485; (2) G. Wedler in Chem.-Ing.-Tech. 64 (1992) (8), 767-768)

Review papers

· 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. 28-59 (and also arXiv:0809.0490v1 [cs.LG])

· A.N. Gorban and O. Radulescu, Dynamic and Static Limitation in Multiscale Reaction Networks, Revisited, Advances in Chemical Engineering 34 (2008), 103-173.

· A.N. Gorban, I.V. Karlin, A.Y. Zinovyev, Constructive methods of invariant manifolds for kinetic problems Phys. Rep., 396, 2004, 197-403 PhysRepCorr.pdf

· A.N. Gorban, Singularities of transition processes in dynamical systems: Qualitative theory of critical delays, Electron. J. Diff. Eqns., Monograph 05, 2004, (55 pages).

· Gorban, A.N.;Karlin, I.V., Method of invariant manifold for chemical kinetics, Chem. Eng. Sci.. 58, 2003, 4751-4768: Elsevier Most Cited Paper Award for this paper DIPLOMA (jpg)

Selected Talks

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, Annecy-le-Vieux, France.
A.N. Gorban, Basic Types of Coarse-Graining, e-print arXiv:cond-mat/0602024v2 [cond-mat.stat-mech], 60 pgs, 11 figs. (and also in the book Model Reduction and Coarse--Graining Approaches for Multiscale Phenomena, Ed. by A.N. Gorban, N. Kazantzis, I.G. Kevrekidis, H.C. Öttinger, C. Theodoropoulos, Springer, Berlin-Heidelberg-New York, 2006, pp. 117-177.) A talk given at the research workshop: "Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena," August 24-26, 2005.

Papers

· Gorban A.N., Gorban P.A., Judge G. Entropy: The Markov Ordering Approach. Entropy. 2010; 12(5):1145-1193

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

· Andrei Zinovyev, Nadya Morozova, Nora Nonne, Emmanuel Barillot, Annick Harel-Bellan, Alexander N Gorban, Dynamical modeling of microRNA action on the protein translation process, BMC Systems Biology 2010, 4:13 (24 February 2010)

· O. Radulescu, A. N. Gorban, A. Y. Zinovyev, and A. Lilienbaum, Robust simplifications of multiscale biochemical networks, BMC Systems Biology 2008, 2:86 doi:10.1186/1752-0509-2-86 The most accessed paper in BMC Systems Biology in November 2008

· A.N. Gorban and A.Y. Zinovyev, The Mystery of Two Straight Lines in Bacterial Genome Statistics, Bulletin of Mathematical Biology 69 (2007), 2429–2442. DOI 10.1007/s11538-007-9229-6

· R.A. Brownlee, A.N. Gorban, and J. Levesley, Nonequilibrium entropy limiters in lattice Boltzmann methods, Physica A:, 387, Issues 2-3, 15 January 2008,

· A.N. Gorban, T.G.Popova, and A.Y. Zinovyev, Codon usage trajectories and 7-cluster structure of 143 complete bacterial genomic sequences Physica A 353C (2005), 365-387. CodonPhysA2005.pdf , Internet site CLUSTER STRUCTURE IN GENOME with analysis of all available bacterial genomes.

· Gorban, A.N.;Karlin, I.V.;Zinovyev, A.Y. Invariant grids for reaction kinetics. Physica A, 333, 2004 106-154 Online: http://arxiv.org/abs/cond-mat/0307076

· 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. 311-317. [PDF] [Abstract] CITED BY

Preprints

· A.N. Gorban, L.I. Pokidysheva, E.V. Smirnova, T.A. Tyukina, Law of the Minimum Paradoxes, arXiv:0907.1965 [q-bio.PE]

· A.N. Gorban, Kinetic Path Summation, Multi-Sheeted Extension of Master Equation, and Evaluation of Ergodicity Coefficient, arXiv:1006.4128, [physics.comp-ph]

· A. Gorban, I. Tyukin, E. Steur, H. Nijmeijer, Positive Invariance Lemmas for Control Problems with Convergence to Lyapunov-unstable Sets, arXiv:0901.3577v1 [math.DS]

For other publications see:

Selected Publications, Preprints & Abstracts

Last modified: November 17, 2007