Исследования Александра Горбаня

Research interests of Alexander Gorban:

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.

Events: Previous and Forthcoming

Vox Populi – Vox Dei!

“Глас народа – глас божий»”

Список статей из мировой базы,

ISI Web of Knowledge database,

Цитирующих статьи и книги А.Н.Горбаня

E-prints: Электронные оттиски работ

Some of Books, Recent Talks & Major Papers:

Books

· 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. (Review on this book)

Review papers

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

· 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

· A.N. 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, 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

· A.N. Gorban, G.S.Yablonsky, Extended detailed balance for systems with irreversible reactions, Chemical Engineering Science 66 (2011) 5388–5399.

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

· 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 O. Radulescu, Dynamical robustness of biological networks with hierarchical distribution of time scales, IET Syst. Biol., 2007, 1, (4), pp. 238–246 Gorban2007IEESystemsBiology.pdf

· A.N. Gorban and A.Y. Zinovyev, The Mystery of Two Straight Lines in Bacterial Genome Statistics, Bulletin of Mathematical Biology (2007) DOI 10.1007/s11538-007-9229-6 (Online First) GorbanZinovyev2007BMB1.pdf

· R. A. Brownlee, A. N. Gorban, and J. Levesley, Stability and stabilization of the lattice Boltzmann method, Phys. Rev. E 75, 036711 (2007) (17 pages) BGJPhyRev2007.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, Thermodynamic Tree: The Space of Admissible Paths, arXiv:1201.6315 [cond-mat.stat-mech]

· A. N. Gorban, D. Packwood, Possibility and Impossibility of the Entropy Balance in Lattice Boltzmann Collisions, arXiv:1111.5994 [physics.comp-ph]

· A. N. Gorban, D. Packwood, Add-ons for Lattice Boltzmann Methods: Regularization, Filtering and Limiters, arXiv:1110.0270 [physics.comp-ph]

· A. Zinovyev, A.N. Gorban, Nonlinear Quality of Life Index, arXiv:1008.4063 [cs.NE]

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