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Matematicheskaya Biologiya i Bioinformatika, 2007, Volume 2, Issue 2, Pages 347–360 (Mi mbb28)  

This article is cited in 7 scientific papers (total in 7 papers)

Mathematical Modeling

Hierarchy of models in mathematical biology and numerically-analytical methods of its investigation (review)

Yu. M. Aponin, E. A. Aponina

Institute of Mathematical Problems of Biology, Russian Academy of Sciences
Full-text PDF (369 kB) Citations (7)
References:
Abstract: The problem of intermodel relations in mathematical biology is considered. Certain mechanisms of prime models generation from complicated ones are briefly reviewed (the asymptotic decomposition, self-organization, reduction principle and others). The construction of complicated model from prescribed prime models and development of hierarchy of models are also considered. The notions of minimal, maximal and primary model are treated. The key role of analytical methods of investigation is emphasized.
Key words: intermodel relation, hierarchy of models, minimal model, primary model, maximal model, prime model generation from complicated one, self-organization, reduction principle, asymptotic decomposition, collective coordinates, singularly perturbed system, computation algorithm.
Received 29.11.2007, Published 14.12.2007
Bibliographic databases:
Document Type: Article
UDC: 577.3
Language: Russian
Citation: Yu. M. Aponin, E. A. Aponina, “Hierarchy of models in mathematical biology and numerically-analytical methods of its investigation (review)”, Mat. Biolog. Bioinform., 2:2 (2007), 347–360
Citation in format AMSBIB
\Bibitem{ApoApo07}
\by Yu.~M.~Aponin, E.~A.~Aponina
\paper Hierarchy of models in mathematical biology and numerically-analytical methods of its investigation (review)
\jour Mat. Biolog. Bioinform.
\yr 2007
\vol 2
\issue 2
\pages 347--360
\mathnet{http://mi.mathnet.ru/mbb28}
\elib{https://elibrary.ru/item.asp?id=11610069}
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  • https://www.mathnet.ru/eng/mbb/v2/i2/p347
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:845
    Full-text PDF :447
    References:71
    First page:1
     
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