Geodesic
The model of surface pattern recognition by copolymer
Matematičeskoe modelirovanie, Tome 17 (2005) no. 9, pp. 103-112.

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{MM_2005_17_9_a9,
     author = {Yu. A. Kriksin and P. G. Khalatur and A. R. Khokhlov},
     title = {The model of surface pattern recognition by copolymer},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {103--112},
     publisher = {mathdoc},
     volume = {17},
     number = {9},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2005_17_9_a9/}
}
TY  - JOUR
AU  - Yu. A. Kriksin
AU  - P. G. Khalatur
AU  - A. R. Khokhlov
TI  - The model of surface pattern recognition by copolymer
JO  - Matematičeskoe modelirovanie
PY  - 2005
SP  - 103
EP  - 112
VL  - 17
IS  - 9
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2005_17_9_a9/
LA  - ru
ID  - MM_2005_17_9_a9
ER  - 
%0 Journal Article
%A Yu. A. Kriksin
%A P. G. Khalatur
%A A. R. Khokhlov
%T The model of surface pattern recognition by copolymer
%J Matematičeskoe modelirovanie
%D 2005
%P 103-112
%V 17
%N 9
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2005_17_9_a9/
%G ru
%F MM_2005_17_9_a9
Yu. A. Kriksin; P. G. Khalatur; A. R. Khokhlov. The model of surface pattern recognition by copolymer. Matematičeskoe modelirovanie, Tome 17 (2005) no. 9, pp. 103-112. http://geodesic.mathdoc.fr/item/MM_2005_17_9_a9/

[1] Ball P., Designing the Molecular World, Princeton University Press, Princeton, New Jersey, 1995

[2] Ratner B. D., J. Biomed. Mater. Res., 27 (1993), 837 | DOI

[3] Ratner B. D., J. Molec. Recognition, 9 (1996), 617 | 3.0.CO;2-D class='badge bg-secondary rounded-pill ref-badge extid-badge'>DOI

[4] Mirkin C. A., Letstinger R. L., Mucic R. C., and Storhoff J. J., Nature (London), 382 (1996), 607 | DOI

[5] Wullf G., Polymeric Reagents and Catalysts, A.C.S. Symp. Ser., 308, ed. W. T. Ford, American Chemical Society, Washington, D.C., 1986, 186

[6] Eisenberg A., Lennox R. B., Macromolecules, 25 (1992), 6547 | DOI

[7] Zhu J., Eisenberg A., and Lennox R. B., Macromolecules, 25 (1992), 6556 | DOI

[8] Li S., Hanley S., Khan I., Varshney S. K., Eisenberg A., and Lennox R. B., Langmuir, 9 (1993), 2243 | DOI

[9] Meiners J. C., Elbs H., Ritzi A., Mlynek J., and Krausch G., J. Appl. Phys., 80 (1996), 2224 | DOI

[10] Spatz J. P., Eibeck P., Mossmer S., Möller M., Kramarenko E. Yu., Khalatur P. G., Potemkin I. I., Khokhlov A. R., Winkler R. G., and Reineker P., Macromolecules, 33 (2000), 150 | DOI

[11] Polowinski S., Template Polymerization, Chem Tec Publishing, Toronto Scarborough, 1997, 150 pp.

[12] Sumithra K., Sebastian K. L., J. Phys. Chem., 98 (1994), 9312 | DOI

[13] Muthukumar M., J. Chem. Phys., 103 (1995), 4723 | DOI

[14] Zheligovskaya E. A., Khalatur P. G., and Khokhlov A. R., J. Chem. Phys., 106 (1997), 8598 | DOI

[15] Moghaddam M. S., Vrbova T., and Whittington S. G., J. Phys. A: Math. Gen., 33 (2000), 4573 | DOI | Zbl

[16] Genzer J., Macromol. Theory Simul., 11 (2002), 481 | 3.0.CO;2-G class='badge bg-secondary rounded-pill ref-badge extid-badge'>DOI

[17] Kriksin Yu. A., Khalatur P. G., Khokhlov A. R., “Model adsorbtsii sopolimera na poverkhnosti s aktivnymi tsentrami”, Matem. modelirovanie, 17:2 (2005), 3–10 | Zbl

[18] Grosberg A. S., Khokhlov A. R., Statisticheskaya fizika makromolekul, Nauka, M., 1989 | MR

[19] Rasmussen K., Kalosakas G., J. of Polymer Sci.: Part B: Polymer Physics, 40 (2002), 1777 | DOI