Alexander GORBAN'

 

Address: Department of Mathematics, University of Leicester, University Road, Leicester LE1 7RH, United Kingdom
Institute of Computational Modeling, Russian Academy of Sciences, Krasnoyarsk-36, 660036, Russia.
E-mail: ag153@le.ac.uk , gorban@icm.krasn.ru

Full Professor in Modeling & Simulation
Russian State Certificate of Professorship, 1993

Research interests:

Dynamics of systems of physical, chemical and biological kinetics;

Bioinformatics;

Human adaptation to hard living conditions;

Architecture of neurocomputers and training algorithms for neural networks.

 

Education:

·        Doctor of Physics & Math (Biophysics), (Advanced doctoral degree, Dr. Sc., analogue of Dr Habilit.), 1990, Institute of Biophysics, Krasnoyarsk. Thesis: "Extremal Principles and a priori Estimations in Biological and Formal Kinetics";

·        PhD in Physics & Math (Differential Equations & Math.Phys), 1980, Kuibyshev State University and Pedagogical Institute. Thesis: "Slow Relaxations and Bifurcations of Omega-Limit Sets of Dynamical Systems";

·        Diploma, 1973 (Master degree equivalent), Omsk Pedagogical Institute (Physical Department and Mathematics Department). Thesis: Sets of Removable Singularities in Banach Spaces and Continuous Mappings;

·        Novosibirsk State University (Physics), 1967-1970;

·        Novosibirsk Special School for Physics & Mathematics, 1965-1967.

 

Current Employment

Applied Mathematics Chair, University of Leicester

Name and Address of Current Employe

Job Title

Dept. of Mathematics, University of Leicester, University Road, LE1 7RH, United Kingdom

Chair in Applied Mathematics (2004-present)

Director of the Centre for Mathematical Modelling (2006-present)

 

 

Employment History:

 

Institute of Computational Modeling, Russian Academy of Sciences, Siberian Branch (formerly Computing Center of the USSR Academy of Sciences, Siberian Branch), Krasnoyarsk, Russia:

·        Deputy Director and Head of the Computer Sciences Department, 1995 – 2005;

·        Head of the Nonequilibrium Systems Laboratory, 1989 - 2006

·        Senior researcher, 1983-1989;

·        Junior researcher, 1978-1983;

Institute of Catalysis, USSR Academy of Sciences, Siberian Branch, Novosibirsk, Russia:

·        Engineer, 1977-1978;

Institute of Theoretical & Applied Mechanics, USSR Academy of Sciences, Siberian Branch, Novosibirsk, Russia:

·        Engineer, 1978;

Tomsk Polytechnic Institute, Laboratory of Kinetics, Tomsk, , Russia:

·        Junior researcher, 1977;

Omsk State University, Laboratory of Kinetics, Omsk, Russia:

·        Junior researcher, 1976;

Omsk Railway Engineering Institute, Research Division, Omsk, Russia:

·        Engineer, 1973-1976.

 

Part-time:

 

Krasnoyarsk State Technical University, Krasnoyarsk, Russia:

·        Head of Neurocomputers Chair, 1993-2006; Professor, 1993- present;

Swiss Federal Institute of technology (ETH), Zurich, Switzerland):

·        Senior Researcher, 2003-2004;

Krasnoyask State Technological University, Krasnoyarsk, Russia::

·        Professor, Department of Automatization and Robots, 1993-2003;

Krasnoyarsk State University, Krasnoyarsk, Russia:

·        Professor, Psychological Department, 1998-2001;

·        Associate professor, Higher Mathematics Chair, 1981-1989;

·        Associate professor, Psychological Department, 1989-1991;

Omsk Pedagogical Institute, Omsk, Russia:

·        Advisor of the Omsk Physical & Mathematical School, 1972-1976.

 

Visiting:

 

·        Clay Mathematics Institute (Cambridge, USA), 03.2000-08.2000;

·        Northeastern University (Boston, USA), 03.2000-05.2000;

·        Courant Mathematics Institute (New York, USA), 04.2000;

·        Institut des Hautes Etudes Scientiques (IHES, Paris, France), 10.2000-12.2000, 07.2001-08.2001,11.2002-12-2002, 09.2003;

·        Swiss Federal Institute of technology (ETH, Zurich, Switzerland), 05.1999-06.1999, 08.2000-09.2000, 03.2002-06.2002.

 

Expert positions:

 

·        Vice-Chairman of Scientific Council at Krasnoyarsk State Technical University (direction: Software and tools for mathematical modeling) (1999-present);

·        Head of Workgroup on Neurocomputing, Ministry of Science and Technology Russian Federation (1998-2000);

·        Vice-Chairman of Expert Council Krasnoyarsk Regional Science Foundation (1993-1996);

·        Chairman of the Analytic Games Committee, Krasnoyarsk (1989-1994);

·        Member of Jury of USSR National competition in mathematics for students of technical universities (1986-1990).

 

 

Membership of Associations

 

·        Full member of Russian Psychological Association (1989);

·        Director of Krasnoyarsk International AMSE Center (Association for the Advancement of Modeling and Simulation Techniques in Enterprises) (1990);

·        Active member of International Informatization Academy (1994);

·        Member of Advisory Board of the Russian Neural Networks Society (1990-present);

·        Associated Member of ASME (American Society of Mechanical Engineers) (1997);

·        Member of Association CHAOS (Centre for Hyperincursion and Anticipation in Ordered Systems) (2000);

·        Member of Society for Mathematical Biology (2003).

 

Participant of 61 conferences, including 15 international, positions as a member of organizing committee or a (co-)chairman at 22 conferences, including 7 international.

 

Organizer of:

·         International Research workshop: “Principal manifolds for data cartography and dimension reduction” August 24-26, 2006, Leicester University, Leicester, UK

·         International Workshop “Geometry of Genome: Unravelling of Structures Hidden in Genomic Sequences,” Leicester University, Leicester, UK, 22/09/2005 – 24/09/2005;

·         International Workshop “Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena,” Leicester University, Leicester, UK August 24-26 2005;

·         International Workshop "Invariance and Model Reduction for Multiscale Phenomena," Zurich, August, 2003;

·         USA-NIS Neurocomputing Opportunities Workshop, Washington, DC, July 1999, (Sponsored by the National Science Foundation of the USA and Applied Computational Intelligence Lab, TTU) (Co-Chair);

·         Russian annual National Conference “Neurionformatics” (1998-present);

·         Russian annual National Workshops “Neuroinformatics and Application,” Krasnoyarsk, 1992- present;

·         Russian annual National Workshops “Modeling of Nonequilibrium Systems,” Krasnoyarsk, 1999- present.

·         Russian National Conference “Problems of Regional Informatization”, Krasnoyarsk, 1998-2003.

·         Soviet Union National competition in Neuroinformatics and Neurocomputers for students and young scientists, 1991.

 

Grants and awards:

 

·        EPSRC and LMS grants for the International Workshop “Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena,” Leicester, UK August 24-26 2005;

·        Prigogine Prize and Medal (2003, International Informatization Academy, this Academy is in general consultative status of the United Nations from 1995, Headquarters: New York, Geneva, Moscow, Montreal);

·        Clay Scholar, (Clay Mathematics Institute, Cambridge, USA, 2000);

·        Russian Federal Grant of the “Integration” program, 4 times (1998-2003);

·        Grant of Russian Federal subprogram “New Information Processing Technology” (1999);

·        Soros Professor (grant of International Science Foundation) (1998);

·        Russian Federal Fellowship for outstanding scientists, twice (6 years);

·        Grant of Russian Foundation of Basic Research (1996-1998);

·        Grants of Regional Scientific Foundation, Krasnoyarsk, Russia, 4 times (1997-2001);

·        1994-1996 American Mathematical Society Fellowship.

 

Scientific advisor of 22 PhD thesis and 3 Dr. Habilit. (Dr. Sc.), including:

 

·        E.M. Mirkes, The structure and functioning of ideal neurocomputer (Dr. Habilt., Computer Science, 2002);

·        E.V. Smirnova, Measurement and modeling of adaptation (Dr. Habilt., Modeling in Biophysics, 2001);

·        D.A. Rossiev, Neural networks based expert systems for medical  diagnostics (Dr. Habilt., Biophysics, 1997);

·        A.Yu. Zinovyev, Method of Elastic Maps for Data Visualization: Algorithms, Software and Applications in Bioinformatics (PhD, Computer Science, 2001);

·        V.G. Tzaregorodtzev, Algorithms, technology and software for knowledge extraction using trainable neural networks (Ph. D., Computer Science, 2000);

·        A.A. Pitenko, Neural networks for geoinformatics (Ph. D., Computer Science, 2000);

·        A.A. Rossiev, Neural network modeling of data with gaps (Ph. D., Computer Science, 2000);

·        M.Yu. Senashova, Accuracy estimation for neural networks (Ph. D., Computer Science, 1999);

·        M.A.Dorrer, Psychological intuition of neural networks (Ph. D., Computer Science, 1999);

·        I.V. Karlin, Method of invariant manifold in physical kinetics, (PhD, Physics, 1991);

·        V.I.Verbitsky, Simultaneously dissipative operators and global stability (PhD, Mathematical Analysis, 1989);

·        M.G. Sadovskii, Optimization in space distributions of populations, (PhD, Biophysics, 1989);

·        V.A. Okhonin, Kinetic equations for population dynamics (PhD, Biophysics, 1986).

 

Leader of 18 full-scale Analytic Games, including:

 

"Project of a Free Economic Zone for the Leningrad Region" (Leningrad, September 1990);

"Problems of Russian Culture" (Krasnoyarsk, June 1991);

"Critical Situations in a Transfer to Market" (Krasnoyarsk, December 1990).

 

Co-organizer of 15 Krasnoyarsk Summer Schools for Talented Children,

Organizer of 2 Tobolsk Summer Schools for Talented Children.

 

 

Selected Publications

 

Monographs (in reverse chronological order):

 

  1. 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.
  2. 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.
  3. Invariant Manifolds for Physical and Chemical Kinetics, Lect. Notes Phys. 660, Springer, Berlin, Heidelberg, 2005 (498 pages). [Review in Bull. London Math. Soc. 38 (2006)] [Preface-Contents-Introduction(pdf)][Reviews(htm)] (With I.V. Karlin);
  4. 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.unt.edu/Monographs/05/gorban.pdf
  5. Neuroinformatics, Novosibirsk, Nauka Publ., 1998, 258 p. (With W.L.Dunin-Barkovskii, D.A.Rossiev, S.A.Terehov).
  6. Methods of neuroinformatics, Krasnoyarsk State University Press, 1998, 205 p. (A.N.Gorban ed.)
  7. Neural networks on PC, Novosibirsk, Nauka Publ., 1996, 276 p. (With D.A.Rossiev). [In Russian, Russian title “Neironnye seti na personal’nom komp’yutere”]
  8. New methods for solving the Boltzmann Equations, AMSE Press, Tassin, France, 1993, ISBN: 2-909214-51-6, 166 p. (With I.V.Karlin).

7.      Kinetic Models of Catalytic Reactions (Comprehensive Chemical Kinetics, V.32, ed. by R.G. Compton), Elsevier, Amsterdam, 1991, 396p. (With G.S.Yablonskii, V.I.Bykov and V.I.Elokhin). (Review on this book: Journal of American Chemical Society (JAChS), V.114, n 13, 1992; sections “Reviews on the book”, W. Henry Weinberg, review on the book "Comprehensive Chemical Kinetics", Volume 32, Kinetic Models of Catalytic Reactions, Elsevier, 1991).

  1. Training of Neural Networks, Moscow, USSR-USA JV "ParaGraph", 1990, 160 p. [In Russian, Russian title “Obuchenie neironnyh setei”]
  2. Demon of Darwin. The Idea of Optimality and Natural Selection, Nauka Pub., Moscow, 1988, 208p. (With R.G.Khlebopros). http://ddarwin.narod.ru
  3. Essays on Chemical relaxation, Novosibirsk, Nauka Publ., 1986, 316 p. (With V.I.Bykov, G.S.Yablonskii);
  4. Equilibrium Encircling. Equations of Chemical Kinetics and their Thermodynamic Analysis, Novosibirsk, Nauka Publ., 1984, 256 p. [In Russian, Russian title “Obkhod Ravnovesiya”]
  5. Kinetic models of heterogeneous catalytic reactions, Novosibirsk, Nauka Publ., 1983, 256 p. (With V.I.Bykov, G.S.Yablonskii).

 

 

Articles (in reverse chronological order):

 

1.      R.A. Brownlee, A.N. Gorban, and J. Levesley, Stabilization of the lattice Boltzmann method using the Ehrenfests' coarse-graining idea, Phys. Rev. E 74, 037703 (2006)

2.      A. Gorban, I. Karlin, A. Zinovyev, Invariant Grids: Method of Complexity Reduction in Reaction Networks, Complexus, V. 2, 110–127.

3.      A.N. Gorban, I.V. Karlin, Quasi-Equilibrium Closure Hierarchies for the Boltzmann Equation, Physica A 360 (2006) 325–364

4.      A. Gorban, A. Zinovyev, Elastic Principal Graphs and Manifolds and their Practical Applications, Computing 75, 359–379 (2005),

5.      A.N. Gorban, I.V. Karlin, Invariance correction to Grad's equations: Where to go beyond approximations? Continuum Mechanics and Thermodynamics, 17(4) (2005), 311–335,

6.      A.N. Gorban,  T.G.Popova, 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.

7.      A.N. Gorban,  T.G.Popova, A.Yu. Zinovyev, Four basic symmetry types in the universal 7-cluster structure of microbial genomic sequences, In Silico Biology, 5 (2005), 0039.

8.      A.N. Gorban, P.A.Gorban, and I. V. Karlin, Legendre Integrators, Post-Processing and Quasiequilibrium, J. Non-Newtonian Fluid Mech. 120 (2004) 149-167.

9.      A.N. Gorban, I.V. Karlin, A.Yu. Zinovyev, Constructive methods of invariant manifolds for kinetic problems, Physics Reports, V. 396, N 4-6 (2004), p. 197-403.

10.  A.N. Gorban, I.V. Karlin, A.Yu. Zinovyev, Invariant grids for reaction kinetics, Physica A, 333 (2004), 106--154.

11.  A.N. Gorban, I.V. Karlin, Uniqueness of thermodynamic projector and kinetic basis of molecular individualism, Physica A, 336, 3-4 (2004), 391-432.

12.  A.N. Gorban, I.V. Karlin, Methods of nonlinear kinetics, in: Encyclopedia of Life Support Systems, Encyclopedia of Mathematical Sciences,  EOLSS Publishers, Oxford, 2004.

13.  A.N. Gorban, T. G. Popova, and A. Yu. Zinovyev: Self-organizing approach for automated gene identification. Open Sys. Information Dyn. 10 (2003) 1-13.

14.  A.N. Gorban and I. V. Karlin, Family of additive entropy functions out of thermodynamic limit, Phys. Rev. E. 2003, V.67, 016104, E-print: http:, arXiv.org/abs/cond-mat/0205511

15.  A.N. Gorban, I. V. Karlin and H. C. Ottinger, The additive generalization of the Boltzmann entropy. Phys. Rev. E. (2003), V. 67. E-print: http:, arXiv.org/abs/cond-mat/0209319.

16.  A.N. Gorban, I. V. Karlin, Method of invariant manifold for chemical kinetics. Chem. Eng. Sci. 58 (2003) 4751-4768.

17.  I.V. Karlin, L. L. Tatarinova, A. N. Gorban, and H. C. Öttinger, Irreversibility in the short memory approximation, Physica A 327 (2003) 399-424.

18.  A. Gorban, A. Zinovyev, T. Popova. Seven clusters in genomic triplet distributions. In Silico Biology. V.3 (2003), 471-482.

19.  A.N. Gorban, T.G Popova, M.G Sadovsky, Classification of nucleotide sequences over their frequency dictionaries reveals a relation between the structure of sequences and taxonomy of their bearers, Zh Obshch Biol 64 (1), 65-77. 2003

20.  A. Gorban', Braverman M., Silantyev V. Modified Kirchhoff flow with a partially penetrable obstacle and its application to the efficiency of free flow  turbines. Math. Comput. Modelling 35 (2002), No. 13, 1371-1375.

21.   A. Gorban', Silantyev V. Riabouchinsky Flow with Partially Penetrable Obstacle. Math. Comput. Modelling 35 (2002), no. 13, 1365-1370.

22.  I.V. Karlin, M. Grmela, and A.N. Gorban: Duality in nonextensive statistical mechanics, Phys. Rev. E 65 (2002) 036128.

23.  A.N. Gorban and I. V. Karlin, Reconstruction lemma and fluctuation-dissipation theorem, Revista Mexicana de Fisica, 2002. V. 48 Suplemento 1,  PP. 238-242.

24.  A.N. Gorban and I. V. Karlin, Geometry of irreversibility, in: Recent Developments in Mathematical and Experimental Physics, Volume C:  Hydrodynamics and Dynamical Systems, Ed. F. Uribe (Kluwer, Dordrecht, 2002), pp. 19-43.

25.  A.N. Gorban and I. V. Karlin, Macroscopic dynamics through coarse-graining: A solvable example, Phys. Rev. E. V 65. 026116(1-5) (2002).

26.  I.V. Karlin and A.N. Gorban, Hydrodynamics from Grad's equations: What can we learn from exact solutions? Ann. Phys. (Leipzig) 10-11 (2002),  pp. 783-833. E-print: http:, arXiv.org/abs/cond-mat/0209560

27.  A.N. Gorban, Zinov'ev A.Y., Pitenko A.A., Data vizualization. The method of elastic maps, Neirocompjutery, 2002, 4, 19-30.

28.  A.N. Gorban, A.A Rossiev, Iterative modeling of data with gaps via submanifolds of small dimension, Neirocompjutery, 2002, 4, 40-44.

29.  A. Gorban, Rossiev A., Makarenko N., Kuandykov Y., Dergachev V. Recovering data gaps through neural network methods. International Journal of  Geomagnetism and Aeronomy, 2002, Vol. 3, No. 2, December 2002.

30.  A.N. Gorban, V.T. Manchuk, A.V.Perfil’eva, E.V.Smirnova, E.P. Cheusova, The mechanism of increasing the correlation between physiological parameters for high adaptation tension, Siberian Ecological Journal, 2001, No 5, 651-655.

31.  A.N. Gorban, Gorlov A.M., Silantyev V.M. Limits of the turbin efficiency for free fluid flow,  ASME Journal of Energy Resourses Technology, Dec.  2001, V. 123, Iss. 4, pp. 311-317.

32.  A.N. Gorban, Pitenko A.A., Zinov'ev A.Y., Wunsch D.C. Vizualization of any data uzing elastic map method ,  Smart Engineering System Design.  2001, V.11, p. 363-368.

33.  A.N. Gorban, Popova T.G., Sadovsky M.G., Wunsch D.C. Information content of the frequency dictionaries, reconstruction, transformation and  classification of dictionaries and genetic texts. Smart Engineering System Design, 2001, V.11, p. 657-663.

34.  A.N.Gorban, I.V.Karlin, P.Ilg and H.C.Ottinger Corrections and enhancements of quasi-equilibrium states, J. Non-Newtonian Fluid Mech., 2001,  V.96(1-2), PP. 203-219.

35.  A.N. Gorban, Karlin I.V., Ottinger H.C., Tatarinova L.L. Ehrenfest's argument extended to a formalism of nonequilibrium thermodynaics, Phys. Rev. E. 2001, V. 63. 066124.

36.  A.N. Gorban, Gorbunova K.O., Wunsch D.C. Liquid Brain: The Proof of Algorithmic Universality of Quasichemical Model of Fine-Grained Parallelism, Neural Network World, 2001, No. 4. P P. 391-412.

37.  A.N. Gorban, Zinovyev A. Yu. Method of Elastic Maps and its Applications in Data Visualization and Data Modeling. International Journal of Computing Anticipatory Systems, CHAOS. 2001. V. 12. PP. 353-369.

38.  V.A. Dergachev, Gorban A.N., Rossiev A.A., Karimova L.M., Kuandykov E., Makarenko N.G., Steier. The filling of gaps in geophysical time series by artificial neural networks, Radiocarbon, 2001, V. 43, No. 2, PP. 343-348.

39.  A.N.Gorban, V.P.Torchilin, M.V.Malyutov, M. Lu Modeling polymer brushes protective action ,  Simulation in Industry' 2000. Proceedings of 12-th  European Simulation Symposium ESS'2000. September 28-30, 2000, Hamburg, Germany. A publication of the Society of Computer Simulation  International. Printed in Delft, The Netherlands, 2000. PP. 651-655.

40.  A.N.Gorban, Neuroinformatics: What are us, where are we going, how to measure our way? Informacionnye technologii, 2000, 4. - С. 10-14.

41.  A.N. Gorban, K. O. Gorbunova, Liquid Brain: Kinetic Model of Structureless Parallelism, Internation Journal of Computing Anticipatory Systems, CHAOS, V. 6, 2000, P.117-126.

42.  A.N. Gorban, I.V. Karlin, V.B. Zmievskii and S.V. Dymova, Reduced description in reaction kinetics, Physica A, 2000. V. 275, No. 3-4, PP. 361-379.

43.  A.N Gorban, The generalized Stone approximation theorem for arbitrary algebras of continuous functions, Dokl Akad Nauk, 365 (5), 586-588, 1999

44.  A.N. Gorban, A.A Rossiev, Neural network iterative method of principal curves for data with gaps,  J Comput Sys Sc Int, 38 (5): 825-830, 1999.

45.  A.N. Gorban, I.V.Karlin and  V.B.Zmievskii, Two-step approximation of space-independent relaxation, Transp.Theory Stat.Phys., 1999. V. 28(3), PP. 271-296.

46.  A.N. Gorban, Approximation of Continuous Functions of Several Variables by an Arbitrary Nonlinear Continuous Function of One Variable, Linear Functions, and  Their Superpositions. Appl. Math. Lett., 1998. V. 11, No. 3, pp. 45-49.

47.  S.E. Gilev, A.N. Gorban, The completeness theorem for semigroups of continuous functions, Dokl Akad Nauk, 362 (6): 733-734, 1998

48.