ALEXEY S. KUZNETSOV
Assistant Professor
 
Department of Mathematical Sciences     Indiana University & Purdue University Indianapolis
402 N. Blackford St.   Indianapolis, IN 46204, USA    askuznet@iupui.edu    (317) 278-7460
 

EDUCATION:

Nizhny Novgorod State University, Nizhny Novgorod, Russia

6/96 – 7/99

PhD equivalent in Physics and Mathematics
Dissertation Title: Dynamics in ensembles of bistable elements with nonlinear connections (suppression of oscillations, cluster formation, synchronization).

6/94 – 5/96

M.S. in Physics with Honors
Studied Qualitative Theory of Differential Equations.

6/90 – 5/94

B.S. in Physics
Learned Theory of Oscillations and Waves, Active Media, Solitons.

 

EXPERIENCE:

Research

8/05-present

Assistant professor, Department of Mathematical Sciences, IUPUI

Mathematical modeling in neuroscience and molecular biology.

1/02 – 7/05

Postdoctoral Research Associate, Center for BioDynamics and Mathematics Department, Boston University, Boston, MA, USA
Modeled and analyzed dynamics in a population of cells encapsulating genetic oscillatory networks (joint with Biomedical Engineering Dept., BU)
Investigated firing patterns of the dopaminergic neuron (joint with Biology Department, UTSA)
Learned theoretical cell biology, genetics and neuroscience
Observed and analyzed experiments

7/01 – 11/01

Visiting Scientist, Physics Department, University of Potsdam; Potsdam, Germany
Studied intermittent formation of synchronous clusters based on a stable heteroclinic cycle

8/99 – 03/03

Research Associate, Division of Nonlinear Dynamics, Institute of Applied Physics, Russian Academy of Sciences (IAP RAS), Nizhny Novgorod, Russia
Modeled locomotor-like movements of human evoked by muscle vibration
Studied influence of connectivity in a network of active elements on its dynamics

11/98 – 07/99

Junior Research Associate, IAP RAS, Prof. Vladimir D. Shalfeev
Investigated suppression of oscillations and cluster formation in a network of globally coupled active bistable elements

11/95 – 10/98

Research Assistant, IAP RAS; with Prof. Vladimir D. Shalfeev
Studied formation and recovery of clusters in a network with chaotic, asynchronous behavior

 

Teaching

2005-present

Assistant Professor, IUPUI

Courses: Calculus for Technology I and II; Qualitative Theory of Differential Equations

Lecturing and giving exams.

2003,04

Lecturer, Boston University
Courses: Calculus I (Fall 2003, Linear Algebra (Fall 2004)
Lecturing, leading discussion sections, giving exams, and grading

1996-98

Teaching Assistant, Nizhny Novgorod State University
Courses: Classical Mechanics (Fall 1996,97,98)
Leading discussion sections and helping prepare exams

 

SELECTED PUBLICATIONS:

Buse O, Kuznetsov A, Perez R, Existence of limit cycles in the repressilator equations. To appear in Int. J. of Bif. And Chaos, 2009.

 

Yang D, Li Y, Kuznetsov A. Characterization and merger of oscillatory mechanisms in an artificial genetic regulatory network. Chaos 19(3):033115, 2009.

 

A. Kuznetsov, N.Kopell, C. Wilson, Transient High-Frequency Firing in a Coupled-Oscillator Model of the Mesencephalic Dopamine Neuron. J.Neurophysiology. 95:932-947, 2006.

 

A.S. Kuznetsov, G.L. Forty, V.D. Shalfeev, Analysis of Pattern Formation in a Chain of Coupled Bistable Elements. Int. J. Bifurcation and Chaos 16(3): 741-747, 2006.

 

A.S. Kuznetsov, V.D. Shalfeev, L.S. Tsimring, 2005, Regularization of Dynamics in an Ensemble of Nondiffusively Coupled Chaotic Elements. Phys. Rev. E 72, p. 046209, 2005.

 

A. Kuznetsov, M. Kaern, N. Kopell, Synchrony in a Population of Hysteresis-based Genetic Oscillators. SIAM J. Applied Math., V. 65, N 2, pp. 392-425, 2004.

 

A.S. Kuznetsov, J. Kurths, Stable Heteroclinic Cycles for ensembles of chaotic oscillators. Phys Rev. E 66 p. 026201, 2002.

RECENT PRESENTATIONS:

 

10/2009

Society for Neuroscience (SFN) Annual Meeting 2009, Chicago, IL; • Dynamical properties underlying frequency switching in the two-compartmental model of the dopaminergic neuron Steady state auditory deficits in schizophrenia - Response characteristics and computational modeling. Posters

6/2009

University of San Louis Potosi, Mexico. Biological applications of dynamical modeling. Invited lecture.

5/2009

Frontiers in Applied and Computational Neuroscience, NJITInterlocked Artificial Regulatory Oscillators. Presentation.

5/2008

Dept of Applied Mathematics, Nizhny Novgorod State University, RussiaDynamical modeling: Application to molecular biology and neuroscience. Invited lecture.

3/2008

Dept of Mathematics and Statistics, GSUDynamical modeling: Application to molecular biology and neuroscience. Invited lecture.

1/2008

Biology Department, UTSA Firing patterns of the midbrain dopaminergic neuron: insights from dynamical modeling. Invited lecture.

11/2007

SFN Annual Meeting 2007, San Diego, CA; • Bursting and Pacemaking in a Coupled Oscillator Model of the Dopamine Neuron, poster.

4/2007

MBI, OSU, Columbus, OH; • What drives midbrain dopaminergic neurons to oscillate at high frequencies? seminar.

7/2006

CNS 2006, Edinburgh, UK; • A mechanism for NMDA-activated high-frequency firing in midbrain dopaminergic neurons, presentation.

 

 

GRANTS:

 

2009-2010

Indiana University RSFG Interlocked Oscillators in Molecular Biology and Neuroscience

2008-2011

NSF Synaptic integration and firing patterns of the midbrain dopaminergic neuron.

2007-2008

Indiana University RSFG Activity of Basal Ganglia Networks in Parkinson's disease: laying the foundation for adaptive brain stimulation

2006

Purdue Research Foundation International Travel Grant

2001

Fellowship for Visiting Scientist, German Academic Exchange Service (DAAD)

2001

Personal Grant for Young Scientist, Russian Foundation for Fundamental Research