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

Loading [MathJax]/jax/output/SVG/config.js

Matematicheskaya Biologiya i Bioinformatika

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Mat. Biolog. Bioinform.:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Matematicheskaya Biologiya i Bioinformatika, 2012, Volume 7, Issue 2, Pages 589–610 (Mi mbb125)

This article is cited in 8 scientific papers (total in 8 papers)

Mathematical Modeling

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

Petr V. Trusov^ab, Nina V. Zaitseva^a, Dmitriy A. Kiryanov^a, Marat R. Kamaltdinov^ab, Mihail Ju. Cinker^ab, Vladimir M. Chigvintsev^a, Dmitriy V. Lanin^a

^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 (8)

References:

PDF

HTML

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}

Linking options:

https://www.mathnet.ru/eng/mbb125

https://www.mathnet.ru/eng/mbb/v7/i2/p589

Translation

A mathematical model for evolution of human functional disorders influenced by environment factors
P. V. Trusov, N. V. Zaitseva, D. A. Kiryanov, M. R. Kamaltdinov, M. Yu. Cinker, V. M. Chigvintsev, D. V. Lanin
Mat. Biolog. Bioinform., 2023, 18:Suppl., 73–93

This publication is cited in the following 8 articles:

N. S. Okhotina, M. M. Grishin, “Modelirovanie sistemy s peremennymi intensivnostyami otkazov komponent i kompensatornymi mekhanizmami”, Uchenye zapiski UlGU. Seriya “Matematika i informatsionnye tekhnologii”, 2024, no. 2, 51–60
P. V. Trusov, N. V. Zaitseva, M. Yu. Tsinker, A. V. Nekrasova, “Matematicheskaya model techeniya vozdukha s tverdymi chastitsami v nosovoi polosti cheloveka”, Matem. biologiya i bioinform., 16:2 (2021), 349–366
Kamaltdinov M.R. Trusov P.V. Zaitseva N.V., “A Mathematical Model For Multiphase Flow in the Antroduodenum With the Consideration of the Neurohumoral Regulation”, AIP Conference Proceedings, 2216, ed. Matveenko V. Trusov P. Yants A. Faerman V., Amer Inst Physics, 2020, 060003
Trusov P.V. Zaitseva N.V. Tsinker M.Yu., “A Mathematical Model of the Human Respiratory System Considering Environmental Influence”, AIP Conference Proceedings, 2216, ed. Matveenko V. Trusov P. Yants A. Faerman V., Amer Inst Physics, 2020, 060007
Kamaltdinov M., Trusov P., Zaitseva N., 13Th National Congress on Theoretical and Applied Mechanics (Nctam 2017), Matec Web of Conferences, 145, eds. Vassilev V., Nikolov S., Datcheva M., Ivanova Y., E D P Sciences, 2018
P. V. Trusov, N. V. Zaitseva, M. Yu. Tsinker, “Modelirovanie protsessa dykhaniya cheloveka: kontseptualnaya i matematicheskaya postanovki”, Matem. biologiya i bioinform., 11:1 (2016), 64–80
P. V. Trusov, N. V. Zaitseva, M. R. Kamaltdinov, “Techenie v antroduodenalnoi oblasti pischevaritelnogo trakta: matematicheskaya model i nekotorye rezultaty”, Matem. biologiya i bioinform., 10:1 (2015), 34–53
Zaitseva N.V., Kiryanov D.A., Lanin D.V., Chigvintsev V.M., “a Mathematical Model of the Immune and Neuroendocrine Systems Mutual Regulation Under the Technogenic Chemical Factors Impact”, Comput. Math. Method Med., 2014, 492489

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	575
Full-text PDF :	235
References:	76
First page:	1

Что такое QR-код?

Registration to the website

Logotypes