Mathematical Biology Research Group
This interdisciplinary team consists of scientists working in both theoretical and applied branches of mathematics. They are united by a common scientific interest – the application of mathematical methods in the qualitative and quantitative analysis of complex biological systems and processes.
Main Research Areas
Research Team
Scientific interests
Mathematical modeling of ecological and evolutionary processes. Dynamics of ecological systems. Modeling of intraspecific competition, individual variability, ecological interactions between individuals. Ecology of individuals. General problems of the application of mathematics in biology.
Education
– Professor of Biology. Academic title awarded by the President of the Republic of Poland (1999)
– Doctor of Natural Sciences in Ecology, Institute of Ecology, Polish Academy of Sciences (1986)
– PhD in Natural Sciences, Institute of Ecology, Polish Academy of Sciences (1979)
– Physicist with a degree in Medical Physics, University of Warsaw (1976)
Scientific Interests
Mathematical modeling. Mathematical biology and ecology. Nonlinear functional analysis. Multi-valued analysis. Functional differential equations and inclusions. Mathematical neurobiology. Mathematical control theory.
Education
– PhD in Applied Mathematics and Data Analysis, Western Norway University of Applied Sciences (2016)
– Mathematician with a degree in Mathematics, Tambov State University named after G.R. Derzhavin (2007)
Scholarships and Awards
• Norwegian State Educational Fund Scholarship for scientific work. Topic of study: "Methods of functional analysis in mathematical neurobiology"
• Awardee of the FUGE (Functional Genomics in Norway) Programme (part of the NUFU initiative [Norwegian Programme for Development, Research and Education] by the Norwegian Council for Higher Education)
• Deputy Chairman of the organizing committee for the regularly-held “Kolmogorov Readings. General problems of optimal control and their applications" international conference
Scientific Interests
Modeling the diffusion of carbon dioxide in plant leaves and the mesophyll intercellular space. Multicomponent multiphase thermodynamics. Algorithm of numerical problems in fluid and gas mechanics by means of object-oriented programming paradigms. Methodology for teaching IT tools in mathematical biology.
Education
– CSc. (Candidate of Physical and Mathematical Sciences), Tyumen State University (2013)
– Bachelor’s in Physics, Tyumen State University (2003)
Scientific Interests
Mathematical statistics. Biostatistics. Statistical modeling and quantitative data analysis. Mathematical modeling of the spread of infectious and non-infectious diseases in populations. Epidemiological methods in clinical trials. Mathematical biology and statistical genetics.
Education
– PhD program "Informatics and Computer Engineering: Mathematical Modeling, Numerical Methods and Program Complexes", Tyumen State University (in progress)
– Master of Sciences in Statistics, University of Southampton (2017)
– Master of Arts in Economics, Western Illinois University (2015)
– Additional professional education program "Business Informatics", Western Illinois University (2015)
– Bachelor’s in Economics (with a specialty in World Economy), Siberian Federal University (2011)
Scholarships and awards
• Holder of the Chartered Statistician status (CStat), the highest professional accreditation of the Royal Statistical Society of Great Britain (2020)
• Awardee of the Russian Federation’s "Global Education" Scholarship that paid for the Master’s program at the University of Southampton (2016–2017)
• Recipient of the Fulbright Grant (USA) that sponsored the Master’s program at the Western Illinois University (2014–2015)
Selected Publications
Main Research Areas
- Ensuring the biosafety of humans, animals, and plants through the mathematical modeling of key biological systems and processes
- Mathematical modeling of the spread of pathogens that may cause epidemics, epizootics or epiphytotics
- Modeling and forecasting the dynamics of the outbreaks and spread of emergent infectious diseases
- Population dynamics of agricultural plants and animals
Research Team
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Head of the Research Team Janusz Zbigniew Uchmański, Prof. zw. dr hab. E-mail: y.ukhmanski@utmn.ru
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Mathematical modeling of ecological and evolutionary processes. Dynamics of ecological systems. Modeling of intraspecific competition, individual variability, ecological interactions between individuals. Ecology of individuals. General problems of the application of mathematics in biology.
Education
– Professor of Biology. Academic title awarded by the President of the Republic of Poland (1999)
– Doctor of Natural Sciences in Ecology, Institute of Ecology, Polish Academy of Sciences (1986)
– PhD in Natural Sciences, Institute of Ecology, Polish Academy of Sciences (1979)
– Physicist with a degree in Medical Physics, University of Warsaw (1976)
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Research associate Evgeniy O. Burlakov, PhD E-mail: e.o.burlakov@utmn.ru
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Mathematical modeling. Mathematical biology and ecology. Nonlinear functional analysis. Multi-valued analysis. Functional differential equations and inclusions. Mathematical neurobiology. Mathematical control theory.
Education
– PhD in Applied Mathematics and Data Analysis, Western Norway University of Applied Sciences (2016)
– Mathematician with a degree in Mathematics, Tambov State University named after G.R. Derzhavin (2007)
Scholarships and Awards
• Norwegian State Educational Fund Scholarship for scientific work. Topic of study: "Methods of functional analysis in mathematical neurobiology"
• Awardee of the FUGE (Functional Genomics in Norway) Programme (part of the NUFU initiative [Norwegian Programme for Development, Research and Education] by the Norwegian Council for Higher Education)
• Deputy Chairman of the organizing committee for the regularly-held “Kolmogorov Readings. General problems of optimal control and their applications" international conference
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Research associate Alexandr S. Zhuravlev, CSc. (Candidate of Physical and Mathematical Sciences) E-mail: a.s.zhuravlev@utmn.ru
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Modeling the diffusion of carbon dioxide in plant leaves and the mesophyll intercellular space. Multicomponent multiphase thermodynamics. Algorithm of numerical problems in fluid and gas mechanics by means of object-oriented programming paradigms. Methodology for teaching IT tools in mathematical biology.
Education
– CSc. (Candidate of Physical and Mathematical Sciences), Tyumen State University (2013)
– Bachelor’s in Physics, Tyumen State University (2003)
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Research associate Taras Safonov, MSc, MA, CStat (Chartered Statistician) E-mail: t.a.safonov@utmn.ru
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Mathematical statistics. Biostatistics. Statistical modeling and quantitative data analysis. Mathematical modeling of the spread of infectious and non-infectious diseases in populations. Epidemiological methods in clinical trials. Mathematical biology and statistical genetics.
Education
– PhD program "Informatics and Computer Engineering: Mathematical Modeling, Numerical Methods and Program Complexes", Tyumen State University (in progress)
– Master of Sciences in Statistics, University of Southampton (2017)
– Master of Arts in Economics, Western Illinois University (2015)
– Additional professional education program "Business Informatics", Western Illinois University (2015)
– Bachelor’s in Economics (with a specialty in World Economy), Siberian Federal University (2011)
Scholarships and awards
• Holder of the Chartered Statistician status (CStat), the highest professional accreditation of the Royal Statistical Society of Great Britain (2020)
• Awardee of the Russian Federation’s "Global Education" Scholarship that paid for the Master’s program at the University of Southampton (2016–2017)
• Recipient of the Fulbright Grant (USA) that sponsored the Master’s program at the Western Illinois University (2014–2015)
Selected Publications
- Bergland H., Burlakov E., Pedersen A., Wyller J. Aquaculture, pollution and fishery - dynamics of marine industrial interactions // Ecological Complexity. 2020. Vol. 43. DOI: 10.1016/j.ecocom.2020.100853
- Uchmański J. On algorithmic essence of biology // Computer Research and Modelling. 2020.Vol.12.№ 3, p.641-652. DOI: 10.20537/2076-7633-2020-12-3-641-652. [in Russian]
- Burlakov E., Zhukovskiy E., Verkhlyutov V. Neural field equations with neuron-dependent Heaviside-type activation function and spatial-dependent delay // Mathematical Methods in the Applied Sciences. (Preprint available from Authorea. February 01, 2020. DOI: 10.22541/au.158058388.83654283)
- Bergland, H, Wyller, J, Burlakov, E. Pasture–livestock dynamics with density‐dependent harvest and changing environment // Natural Resource Modeling. 2019. Vol. 32 (4). e12213. DOI: 10.1111/nrm.12213
- Uchmański J. Cyclic outbreaks of forest insects: A two-dimensional individual-based model // Theoretical Population Biology. 2019. Vol. 128. P. 1-18. DOI: 10.1016/j.tpb.2019.04.006
- Zhuravljov, A., Lanetc, Z. Relevance of analytical Buckley–Leverett solution for immiscible oil displacement by various gases // Journal of Petroleum Exploration and Production Technology. 2019. Vol. 9. P. 617–626. DOI: 10.1007/s13202-018-0516-6
- Burlakov, E. On Inclusions Arising in Neural Field Modeling // Differential Equations and Dynamical Systems. 2018. DOI: 10.1007/s12591-018-0443-5
- Uchmański J., Opaliński K. W., Rau K. Intraspecific competition in an island environment: variability and dispersal of terrestrial snail Helix aspersa aspersa Müller, 1774 (Gastropoda: Helicidae) // Acta Zooloica Bulgarica. 2018. Suppl. 12. P. 25-39.
- Zhuravlev A. The Heterogeneity Effect of Reservoir Properties on Migration and Accumulation of Hydrocarbons in Natural Geological Systems / Zhuravlev A., Zhuravlev E. // Vestnik of Tyumen State University. Physico-mathematical modelling. Oil, gas, energy production / Eds. Shabarov A. – Tyumen, 2016. Vol.2, № 1, p.101-109. [in Russian]
