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Matematicheskoe modelirovanie, 2005, Volume 17, Number 9, Pages 103–112 (Mi mm2798)  

This article is cited in 1 scientific paper (total in 1 paper)

The model of surface pattern recognition by copolymer

Yu. A. Kriksina, P. G. Khalaturb, A. R. Khokhlovc

a Institute for Mathematical Modelling, Russian Academy of Sciences
b Tver State University, Chemical and Biological Department
c M. V. Lomonosov Moscow State University, Faculty of Physics
Full-text PDF (278 kB) Citations (1)
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Abstract: We propose the mathematical model of pattern recognition by a copolymer on a surface. The pattern consists of active centers specifically distributed on the surface. The copolymer primary sequence is complementary in relation to pattern. The model is based on a calculation of statistical integral and appropriate probabilities. The algorithm for the calculation of conformational probability is based on efficient recurring procedure for the computation of configuration integral of chain macromolecule. There are introduced the conceptions of a probability of a recognition and a temperature of a recognition. The dependencies of a probability of a recognition on the temperature are calculated.
Received: 21.04.2005
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Language: Russian
Citation: Yu. A. Kriksin, P. G. Khalatur, A. R. Khokhlov, “The model of surface pattern recognition by copolymer”, Matem. Mod., 17:9 (2005), 103–112
Citation in format AMSBIB
\Bibitem{KriKhaKho05}
\by Yu.~A.~Kriksin, P.~G.~Khalatur, A.~R.~Khokhlov
\paper The model of surface pattern recognition by copolymer
\jour Matem. Mod.
\yr 2005
\vol 17
\issue 9
\pages 103--112
\mathnet{http://mi.mathnet.ru/mm2798}
\zmath{https://zbmath.org/?q=an:1089.68619}
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  • https://www.mathnet.ru/eng/mm2798
  • https://www.mathnet.ru/eng/mm/v17/i9/p103
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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