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 and O. Radulescu, Dynamic and Static Limitation in Multiscale Reaction Networks, Revisited, Advances in Chemical Engineering 34 (2008), 103-173. GorbanRadulescuAdvChemEng2008.pdf

· Gorban, A. Zinovyev, Elastic Principal Graphs and Manifolds and their Practical Applications, Computing 75, 359–379 (2005), (DOI) 10.1007/s00607-005-0122-6 , GorbZin2005Computing.pdf

· 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). Online: http://ejde.math.txstate.edu/Monographs/05/abstr.html

· Gorban, A.N.;Karlin, I.V., Method of invariant manifold for chemical kinetics, Chem. Eng. Sci.. 58, 2003, 4751-4768 ChemEngSci2003.pdf NEW: Elsevier Most Cited Paper Award for this paper DIPLOMA (jpg)

Talks

A.N. Gorban, A.Yu. Zinovyev, N.R. Sumner, Elastic Maps, Graphs, and Topological Grammars, Presentation ElmapAndTopGrammars.ppt , e-print http://arxiv.org/abs/cs.NE/0603090 (local copy GorbanAML.pdf ), A talk given at the School of Computer Science and Information Systems, Birkbeck College, University of London March 21, 2006.
A.N. Gorban, Basic Types of Coarse-Graining, e-print http://arxiv.org/abs/cond-mat/0602024 (local copy CoaGrWorkSpri7.pdf). 60 pgs, 11 figs. A talk given at the research workshop: "Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena," August 24-26.
A.N. Gorban, The Kinetic Basis of Molecular Individualism and the Difference Between Ellipsoid and Parallelepiped, The distinguished lecture given at the Mathematical Modeling Center, University of Leicester (UK), December 2003. LeicesterLec.ppt
A.N. Gorban, Neuroinformatics: What are us, where are we going, how to measure our way? The lecture was given at the USA-NIS Neurocomputing opportunities workshop, Washington DC, July 1999 (Associated with IJCNN'99). [PDF] [Abstract] Online: http://arxiv.org/abs/cond-mat/0307346
A.N. Gorban, D.A. Rossiyev, M.G. Dorrer, MultiNeuron - Neural Networks Simulator For Medical, Physiological, and Psychological Applications, The talk for the 1995 World Congress on Neural Networks, E-print: http://arxiv.org/abs/q-bio.QM/0411034

Papers

· 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 GorbanZinovyev2007BMB1.pdf

· 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, BrownGorbLevPhysA2007FinFin.pdf

· A.N. Gorban, N.R. Sumner, and A.Y. Zinovyev, Topological grammars for data approximation, Applied Mathematics Letters Volume 20, Issue 4 (2007), 382-386 GorSummnZinAML2006.pdf

· A.N. Gorban, Order–disorder separation: Geometric revision, Physica A Volume 374, Issue 1 , 15 January 2007, Pages 85-102 GorPhysA2006Order.pdf

· A.N. Gorban, T.G.Popova, and A.Yu. Zinovyev, Codon usage trajectories and 7-cluster structure of 143 complete bacterial genomic sequences Physica A: Statistical and Theoretical Physics, 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 ChemGrPhA2004.pdf 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, E. V. Smirnova, T. A. Tyukina, Correlations, Risk and Crisis: from Physiology to Finance, http://arxiv.org/abs/0905.0129

· A. N. Gorban, O. Radulescu, A. Y. Zinovyev, Limitation and Asymptotology of Chemical Reaction Networks, http://arxiv.org/abs/0903.5072

· A. Gorban, I. Tyukin, E. Steur, H. Nijmeijer, Positive Invariance Lemmas for Control Problems with Convergence to Lyapunov-unstable Sets, http://arxiv.org/abs/0901.3577

· A. N. Gorban, A. Y. Zinovyev, Principal Graphs and Manifolds, http://arxiv.org/abs/0809.0490

· A.N. Gorban, A. Yu. Zinovyev, PCA deciphers genome, E-print: http://arxiv.org/abs/q-bio.QM/0504013 PCAdecGen.pdf

For other publications see:

Selected Publications, Preprints & Abstracts

Last modified: November 17, 2007