Correlation adaptometry. Models and applications to biomedical systems
Matematičeskoe modelirovanie, Tome 20 (2008) no. 8, pp. 13-27.

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

An approach to mathematical modelling of the mechanisms underlying the correlation adaptometry methods widely used in biology and medicine is described. The analysis is based on models employed in descriptions of structured biological systems, including a technique developed for using the evolutionary optimality properties of these systems. Some examples are discussed in which a method of this kind is applied to estimate the influence of environmental factors on biological populations.
@article{MM_2008_20_8_a1,
     author = {V. N. Razzhevaikin and M. I. Shpitonkov},
     title = {Correlation adaptometry. {Models} and applications to biomedical systems},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {13--27},
     publisher = {mathdoc},
     volume = {20},
     number = {8},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2008_20_8_a1/}
}
TY  - JOUR
AU  - V. N. Razzhevaikin
AU  - M. I. Shpitonkov
TI  - Correlation adaptometry. Models and applications to biomedical systems
JO  - Matematičeskoe modelirovanie
PY  - 2008
SP  - 13
EP  - 27
VL  - 20
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2008_20_8_a1/
LA  - ru
ID  - MM_2008_20_8_a1
ER  - 
%0 Journal Article
%A V. N. Razzhevaikin
%A M. I. Shpitonkov
%T Correlation adaptometry. Models and applications to biomedical systems
%J Matematičeskoe modelirovanie
%D 2008
%P 13-27
%V 20
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2008_20_8_a1/
%G ru
%F MM_2008_20_8_a1
V. N. Razzhevaikin; M. I. Shpitonkov. Correlation adaptometry. Models and applications to biomedical systems. Matematičeskoe modelirovanie, Tome 20 (2008) no. 8, pp. 13-27. http://geodesic.mathdoc.fr/item/MM_2008_20_8_a1/

[1] Karmanova I. V., Razzhevaikin V. N., Shpitonkov M. I., “Primenenie metodiki korrelyatsionnoi adaptometrii k otsenke reaktsii travyanistykh vidov k stressovym nagruzkam”, DAN, 346:3 (1996), 424–426

[2] Sedov K. R., Gorban A. N., Petushkova E. V., Manchuk V. T., Shalamova E. N., “Korrelyatsionnaya adaptometriya kak metod dispanserizatsii naseleniya”, Vestnik AMN SSSR, 1988, no. 5, 69–75

[3] Gorban A. N., Manchuk V. E., Petushkova E. V., “Dinamika korrelyatsii mezhdu fiziologicheskimi parametrami i ekologo-evolyutsionnyi printsip polifaktorialnosti”, Problemy ekologicheskogo monitoringa i modelirovanie ekosistem, 10, Gidrometeoizdat, L., 1987, 187–198

[4] Razzhevaikin V. N., Shpitonkov M. I., “Modelnoe obosnovanie korrelyatsionnoi adaptometrii s primeneniem metodov evolyutsionnoi optimalnosti”, ZhVM i MF, 43:2 (2003), 308–320 | MR | Zbl

[5] Gradshtein I. S., Ryzhik I. M., Tablitsy integralov, summ, ryadov i proizvedenii, Nauka, M., 1971, 1108 pp.

[6] Razzhevaikin V. N., Ustoichivost i evolyutsionnaya ekstremalnost: prilozheniya kvazilineinoi teorii k konkretnym raspredelennym biologicheskim sistemam, VTs RAN, M., 1994, 34 pp. | MR

[7] Kato T., Teoriya vozmuschenii lineinykh operatorov, Mir, M., 1973, 740 pp. | MR

[8] Razzhevaikin V. N., Shpitonkov M. I., Gerasimov A. N., “Primenenie metoda korrelyatsionnoi adaptometrii v mediko-biologicheskikh zadachakh”, Issledovanie operatsii (modeli, sistemy, resheniya), VTs RAN, M., 2002, 51–55

[9] Zaitseva O. I., Smirnova E. V., Tereschenko V. P., Cheusova E. P., “Otsenka effektivnosti provodimoi terapii metodom korrelyatsionnoi adaptometrii”, Metod korrelyatsionnoi adaptometrii v otsenke antropoekologicheskogo napryazheniya populyatsii, Mezhvuzovskii sbornik, ed. A. N. Gorbanya, KGTU, Krasnoyarsk, 1996, 67–80

[10] Razzhevaikin V. N., Shpitonkov M. I., Vasilev A. V., Maltsev G. Yu., Khruscheva Yu. V., “Ispolzovanie metodiki korrelyatsionnoi adaptometrii dlya otsenki effektivnosti lecheniya bolnykh ozhireniem”, Issledovanie operatsii (modeli, sistemy, resheniya), VTs RAN, M., 2006, 28–34