The primary interests are in mathematical modeling of various evolutionary processes at all levels. In particular:

- development of epidemiological models that include heterogeneous structure of populations;
- mathematical analysis of the quasispecies model.

- Ph.D., Applied Mathematics, 2002, Moscow State University of Communication Means (MIIT), Moscow, Russia
- M.S., Applied Mathematics, 1999, Moscow State University of Communication Means (MIIT), Moscow, Russia

Positions

- Associate Professor (08/2018 — present), Department of Mathematics, North Dakota State University, Fargo, ND, USA
- Assistant Professor (08/2012 — 08/2018), Department of Mathematics, North Dakota State University, Fargo, ND, USA
- Associate Professor (09/2009 — 06/2012), Department of Applied Mathematics–1, Moscow State University of Communication Means (MIIT), Moscow, Russia
- Visiting Fellow (09/2004 — 08/2009), National Center for Biotechnology Information (NCBI), National Library of Medicine (NLM), National Institutes of Health (NIH), Bethesda, Maryland, USA
- Assistant Professor (09/2002 — 07/2004), Department of Applied Mathematics–1, Moscow State University of Communication Means (MIIT), Moscow, Russia
- Graduate Assistant (10/1999 — 05/2002), Department of Applied Mathematics–1, Moscow State University of Communication Means (MIIT), Moscow, Russia

Presentations, Conferences, and Visits

- 2021 Society of Mathematical Biology, Virtual Annual Meeting, June 13-17, Parametric heterogeneity in epidemiological models and modeling of COVID-19, 15 minutes
- 2020 Society of Mathematical Biology, Virtual Annual Meeting, August 17-20, no presentation
- 2019 Multiscale models in biology, UMN: The theory of heterogeneous populations, May, Minneapolis, USA.
- 2018 Midwest Mathematical Biology Conference: Eigen quasispecies model and isometry group acting on finite metric spaces, May, La Crosse, Wisconsin, USA.
- 2017 Tri-College Colloquium, MSUM, Moorhead: History and progress in solving the Eigen's quasispecies model, October, Moorhead, MN, USA.
- 2017 Fall Central Sectional Meeting, University of North Texas, Special Session on Differential Equation Modeling and Analysis for Complex Bio-systems: Heterogeneous Mathematical Models and the Problem of System Identification, September, Denton, Texas, USA.
- 2016 Midwest Mathematical Biology Conference: On the evolution of parameter distributions in epidemiological models, May, La Crosse, Wisconsin, USA
- 2016 Spring Central Sectional Meeting, NDSU, Fargo, Special Session on Topological and Smooth Dynamics: On Eigen's quasispecies model and isometry groups acting on finite metric spaces, April, Fargo, North Dakota, USA
- 2015 Colloquium of the Department of Mathematics, NDSU: On Eigen's quasispecies model, two-valued fitness landscapes, and isometry groups acting on finite metric spaces, September, Fargo, North Dakota, USA (slides)
- 2015 The Society for Mathematical Biology Annual Meeting and Conference: Exact Solutions Of The Quasispecies Evolutionary Model, July, Atlanta, Georgia, USA
- 2014 Seminar at Dr. Koonin lab, NCBI/NLM/NIH: What we know and what we do not know about the quasispecies, October, Bethesda, Maryland, USA
- 2014 Colloquium of the Department of Mathematics, NDSU: Linear Algebra of the quasispecies model, September, Fargo, North Dakota, USA
- 2014 SIAM Conference on the Life Sciences: Linear algebra of the quasispecies model, August, Charlotte, North Carolina, USA (slides)
- 2014 Midwest Mathematical Biology Conference: Linear algebra of the quasispecies model, May, La Crosse, Wisconsin, USA (slides)
- 2014 Joint Mathematics Meeting: Linear algebra of the Crow-Kimura quasispecies model, January, Baltimore, Maryland, USA
- 2013 The Society for Mathematical Biology Annual Meeting and Conference: Epidemiological models with parametric heterogeneity, June, Tempe, Arizona, USA
- 2013 Biology Department Seminar, NDSU: Origin and evolution of the standard genetic code, May, Fargo, ND, USA
- 2013 Joint Mathematics Meeting: Analysis of a stochastic SIR model with parametric heterogeneity, January, San Diego, CA, USA
- 2012 Physics Department Seminar, NDSU: On mathematical modeling of biological evolution, October, Fargo, ND, USA
- 2012 Mathematics Colloquium, NDSU: On the asymptotic behavior of the solutions to a replicator equation, September, Fargo, ND, USA
- 2012 Workshop at Moscow State University of Communication Means: On mathematical models of prebiotic evolution and their mathematical analysis, May, Moscow, Russia, (slides)
- 2012 Computational Mathematics and Cybernetics Department, Moscow State University (Lomonosov): Mathematical approaches to random networks, March, Moscow, Russia
- 2012 NCBI Scientific Visitor's Program, NCBI/NLM/NIH, January–February, Bethesda, MD, US
- 2012 Joint Mathematics Meeting, January 4–7, AMS Special Session on Recent Advances in Mathematical Biology, Ecology, and Epidemiology, I: On the spread of epidemics in a closed heterogeneous population, January, Boston, Massachusetts, US
- 2012 Joint Mathematics Meeting, January 4–7, AMS Session on Mathematical Biology and Related Fields: Reaction–diffusion replicator equation: Stability and asymptotic behavior, January, Boston, Massachusetts, US
- 2011 Seminar at the NDSU Department of Mathematics: On the mathematical modeling of the spread of epidemics in heterogeneous populations, December, Fargo, North Dakota, US (Skype presentation)
- 2011 Workshop on Critical Phenomena and Complex Systems, Laboratory of Statistical and Computational Physics, Institute of Physics, Academia of Sinica: On the Spread of Epidemics in a Closed Heterogeneous Population, December, Taipei, Taiwan
- 2011 Workshop on Critical Phenomena and Complex Systems, Laboratory of Statistical and Computational Physics, Institute of Physics, Academia of Sinica: On the Origin and Evolution of the Standard Genetic Code, December, Taipei, Taiwan
- 2011 Seminar at Steklov Institute, Department of Mathematical Physics: Asymptotic behavior of the solutions to the replicator equation in evolutionary game theory, November, Moscow, Russia
- 2011 The 3d Workshop "Mathematical models and numerical methods in biomathematics": On the spread of epidemics in a closed heterogeneous population, October 27–28, Institute of Numerical Mathematics, Russian Academy of Science, October, Moscow, Russia
- 2011 8th European Conference on Mathematical and Theoretical Biology: On the Spread of Epidemics in a Closed Heterogeneous Population, Krakow, Poland, June, 28–July, 2 (slides)
- 2011 Seminar at Systems Analysis, Computational Mathematics and Cybernetics Department, Moscow State University (Lomonosov) (the host is Prof. A.B. Kurzhanski): On the mathematical modeling in Systems Biology, May, Moscow, Russia (slides)
- 2011 Seminar at Computing Center, Russian Academy of Science, Department of Simulation Systems and Operational Research: On the spread of epidemics in a closed heterogeneous population, May, Moscow, Russia (slides)
- 2011 Seminar at Steklov Institute (the host is prof. Y. Ilyashenko): On the asymptotic behavior of the solutions to the replicator equation, April, Moscow, Russia (slides)
- 2011 Seminar at Computational Mathematics and Cybernetics, Moscow State University (Lomonosov): Universality of the power law distributions and mechanisms to generate them, April, Moscow, Russia
- 2011 Seminar at Laboratory of Complex Systems, Moscow State University of Communication Means (MIIT): Origin and evolution of the standard genetic code, April, Moscow, Russia
- 2011 Mathematics Department at Moscow State University (Lomonosov): Asymptotic behavior of some replicator equations, February, Moscow, Russia
- 2011 Conference "Education, Computing, Mathematics–2011": Exceptional error minimization in putative primordial genetic codes, January 24–29, Puschino, Russia
- 2011 Conference "Mathematical models and numerical methods in biomathematics": Replicator equations and explicit space, January 11–12, Institute of Numerical Mathematics, Russian Academy of Science, January, Moscow, Russia
- 2010 Seminar at Biophysics Department at Moscow State University (Lomonosov): Mathematical theories of epidemic spread: Homogeneous vs Heterogeneous models, November, Moscow, Russia
- 2010 Seminar at Steklov Institute: Replicator equation: The principle of global regulation and explicit space, October, Moscow, Russia (slides)
- 2010 Moscow Bioinformatics Seminar at Engelhardt Institute of Molecular Biology: On the origin and evolution of the standard genetic code, March, Moscow, Russia (slides)
- 2009 Mathematics Department at Moscow State University (Lomonosov): On the use of differential equations in theoretical population genetics: Quasi-species theory and beyond, December, Moscow, Russia
- 2009 Computational Mathematics and Cybernetics, Moscow State University (Lomonosov): On the spread of epidemics in closed heterogeneous populations, November, Moscow, Russia
- 2009 Department of Applied Mathematics–1 at Moscow State University of Communication Means (MIIT): Replicator equation: Equation of Life, October, Moscow, Russia
- 2009 Mathematics Department at Howard University: On the mathematical modeling of epidemics in a closed heterogeneous population, February, Washington, DC, USA (slides)
- 2008 The 6th International Conference On Differential Equations and Dynamical Systems: Influence of heterogeneity in disease parameters on the disease evolution within the basic SIR model, May, Baltimore, MD, USA
- 2008 The 6th International Conference On Differential Equations and Dynamical Systems: Traveling wave solutions in some models with cross-diffusion, May, Baltimore, MD, USA
- 2008 CBB NCBI seminar: Evolution of the genetic code: Partial optimization for robustness to translation errors. April, NCBI/NLM/NIH, MD, USA
- 2006 CBB NCBI seminar: Mathematical modeling of horizontally transferred genes: a stochastic birth–and–death model. October, NCBI/NLM/NIH, MD, USA
- 2003 Moscow Institute of Mathematics and Electronics: Generalized model of the predator–prey interaction and , September, Moscow, Russia
- 2002 Center of Ecology Problem and Forest Productivity of Russian Academy of Sciences: Mathematical models of the system "pollutant–environment", April, Moscow, Russia
- 2002 Moscow Institute of Mathematics and Electronics: Mathematical models of the system "pollutant–environment", March, Moscow, Russia
- 2002 Institute of Problems in Mechanics: Mathematical models of the system "pollutant–environment", February, Moscow, Russia
- 2001 The 5th IFAC Symposium Nonlinear Control Systems, July 4—6, St. Petersburg, Russia (poster session)
- 2000 The 2nd International Conference Control of Oscillations and Chaos, July 5–7, St. Petersburg, Russia

Reviewer

- Mathematical Reviews
- Ad hoc reviewer for NSF
- Ad hoc reviewer for Chilean National Science and Technology Commission
- Ad hoc reviewer for NKFIH, Hungary
- Biology Direct (review 1, review 2, review 3)
- Nonlinear Analysis: Modelling and Control
- Journal of Evolutionary Biology
- Applied Mathematical Modelling
- Journal of Theoretical Population Biology
- Computer Research and Modelling
- Biophysical Reviews & Letters
- Journal of Mathematical Biology
- Physical Biology
- Journal of the Royal Society Interface
- Genome Biology and Evolution
- Russian Journal of Numerical analysis and Mathematical Modelling
- Mathematical Modelling of Natural Phenomena
- BMC Bioinformatics
- ICARUS
- Proceedings of American Mathematical Society
- IIE Transactions
- Physics Letters A
- Theoretical Biology and Medical Modelling
- Journal of Theoretical Biology
- IEEE Transactions on Automatic Control
- Journal of Mathematical Analysis and Applications
- PLOS ONE
- Physica A
- Chinese Physics B
- SpringerPlus
- IEEE Transactions on Control of Network Systems
- Journal of Biological Systems
- Bioinformatics
- Mathematische Nachrichten
- Scientific Reports - Nature
- Applied Mathematics and Computation
- Royal Society Open Science
- Mathematical Biosciences
- WIREs Computational Statistics
- Nature Communications
- European Physical Journal B
- Mathematical Biosciences and Engineering
- Mathematical and Computational Applications
- PNAS

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