Loading [MathJax]/jax/output/SVG/config.js
Matematicheskoe modelirovanie
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Model.:
Year:
Volume:
Issue:
Page:
Find






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


Matematicheskoe modelirovanie, 2005, Volume 17, Number 6, Pages 3–12 (Mi mm197)  

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

Influence of diffusion and reaction processes non-uniformity on structures formation in porous medium

V. V. Andreeva, V. I. Grytsayb

a Chuvash State University
b N. N. Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine
Full-text PDF (396 kB) Citations (7)
Abstract: The non-uniformity of diffusion and reaction process proceeding in porous structures is the major factor determining dynamics of processes in them. Porous catalyst granules with a non-uniform activity profile and porous structure of a biosensor are investigated. It is shown, that porous catalyst granules with a non-uniform activity profile allow at necessary conditions fulfillment essentially to increase the effectiveness of a catalytic process. The role of a self-organizing of cells biosystem in dynamics of biochemical process proceeding in a bioselective membrane is investigated also. It is shown, that the given cells biosystem behaves as a commonality reacting to change of external medium. Research of the given model has allowed to study structural and functional connections of biosystem according to there adaptation to varied external medium take place, and also to reveal the reasons of a biosensor sensitivity change.
Received: 28.09.2004
Bibliographic databases:
Language: Russian
Citation: V. V. Andreev, V. I. Grytsay, “Influence of diffusion and reaction processes non-uniformity on structures formation in porous medium”, Mat. Model., 17:6 (2005), 3–12
Citation in format AMSBIB
\Bibitem{AndGry05}
\by V.~V.~Andreev, V.~I.~Grytsay
\paper Influence of diffusion and reaction processes non-uniformity on structures formation in porous medium
\jour Mat. Model.
\yr 2005
\vol 17
\issue 6
\pages 3--12
\mathnet{http://mi.mathnet.ru/mm197}
\zmath{https://zbmath.org/?q=an:1105.76056}
Linking options:
  • https://www.mathnet.ru/eng/mm197
  • https://www.mathnet.ru/eng/mm/v17/i6/p3
  • This publication is cited in the following 7 articles:
    1. Grytsay I V., “Spectral Analysis and Invariant Measure in Studies of the Dynamics of the Hemostasis of a Blood Vessel”, Ukr. J. Phys., 66:3 (2021), 221–230  crossref  isi
    2. Grytsay I V., Medentsev A.G., Arinbasarova A.Yu., “Autooscillatory Dynamics in a Mathematical Model of the Metabolic Process in Aerobic Bacteria. Influence of the Krebs Cycle on the Self-Organization of a Biosystem”, Ukr. J. Phys., 65:5 (2020), 393–399  crossref  isi  scopus
    3. Grytsay V.I., “Spectral Analysis and Invariant Measure in the Study of a Nonlinear Dynamics of the Metabolic Process in Cells”, Ukr. J. Phys., 62:5 (2017), 448–458  crossref  isi
    4. Grytsay V.I., “Self-Organization and Chaos in the Metabolism of Hemostasis in a Blood Vessel”, Ukr. J. Phys., 61:7 (2016), 648–655  crossref  isi
    5. Grytsay V.I., “Self-Organization and Fractality in the Metabolic Process of Glycolysis”, Ukr. J. Phys., 60:12 (2015), 1251–1262  crossref  isi
    6. Grytsay V.I., “Lyapunov Indices and the Poincare Mapping in a Study of the Stability of the Krebs Cycle”, Ukr. J. Phys., 60:6 (2015), 561–574  crossref  isi
    7. Andreev, VV, ““Dead zone” in a porous catalyst granule for a nonstationary parallel reaction”, Russian Journal of Physical Chemistry, 80:4 (2006), 535  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
    Statistics & downloads:
    Abstract page:355
    Full-text PDF :116
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025