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Matematicheskaya Biologiya i Bioinformatika, 2012, Volume 7, Issue 2, Pages 589–610 (Mi mbb125)  
This article is cited in 7 scientific papers (total in 7 papers)

Mathematical Modeling

A Mathematical Model for Evolution of Human Functional Disorders Influenced by Environment Factors

Petr V. Trusovab, Nina V. Zaitsevaa, Dmitriy A. Kiryanova, Marat R. Kamaltdinovab, Mihail Ju. Cinkerab, Vladimir M. Chigvintseva, Dmitriy V. Lanina

a Federal scientific center for medical and preventive health risk management technologies, Perm, 614000, Russia
b State National Research Polytechnic University of Perm, Perm, 614000, Russia
Full-text PDF (764 kB) Citations (7)
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Abstract: A mathematical model predicting the evolution of human functional disorders under environment influence is developed. The natural aging, regeneration processes, accumulation of damage due to abnormal substances streams and functional recovery through treatment are considered. Inflow of substances from the environment, accumulation, metabolism and elimination are described with neuro-humoral regulation. Numerical solution of differential equations based on implementation of finite difference schemes are obtained for different cases.
Key words: mathematical modeling, evolution equations, functional disorders, environment influence.
Received 09.06.2012, Published 06.11.2012
Document Type: Article
UDC: 51-76
Language: Russian
Citation: Petr V. Trusov, Nina V. Zaitseva, Dmitriy A. Kiryanov, Marat R. Kamaltdinov, Mihail Ju. Cinker, Vladimir M. Chigvintsev, Dmitriy V. Lanin, “A Mathematical Model for Evolution of Human Functional Disorders Influenced by Environment Factors”, Mat. Biolog. Bioinform., 7:2 (2012), 589–610
Citation in format AMSBIB
\Bibitem{TruZaiKir12}
\by Petr~V.~Trusov, Nina~V.~Zaitseva, Dmitriy~A.~Kiryanov, Marat~R.~Kamaltdinov, Mihail~Ju.~Cinker, Vladimir~M.~Chigvintsev, Dmitriy~V.~Lanin
\paper A Mathematical Model for Evolution of Human Functional Disorders Influenced by Environment Factors
\jour Mat. Biolog. Bioinform.
\yr 2012
\vol 7
\issue 2
\pages 589--610
\mathnet{http://mi.mathnet.ru/mbb125}
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  • https://www.mathnet.ru/eng/mbb125
  • https://www.mathnet.ru/eng/mbb/v7/i2/p589
    Translation
    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:532
    Full-text PDF :218
    References:67
    First page:1
     
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