Geodesic
Assessment of health status of a population on the basis of entropy modeling
Matematičeskaâ biologiâ i bioinformatika, Tome 10 (2015) no. 1, pp. 206-219.

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The potential use entropy modeling of multivariate stochastic systems in medicine has been shown on a concrete example. Assessment of the health status of rural male population, by the criteria of "healthy", "healthy", "sick" was made. Defined levels of entropy parameters which characterize the main risk factors of chronic non-communicable diseases according to the health groups. The greatest contribution of an individual parameter in the entropy of the population was selected in each group The degree of dependence of this parameter from the others was identified. It is established that the deterioration in health status leads to increased entropy in the population. This growth is caused by increase of entropy randomness. 
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A. N. Tyrsin; O. F. Kalev; D. A. Yashin; O. V. Lebedeva. Assessment of health status of a population on the basis of entropy modeling. Matematičeskaâ biologiâ i bioinformatika, Tome 10 (2015) no. 1, pp. 206-219. http://geodesic.mathdoc.fr/item/MBB_2015_10_1_a13/

[1] Kiryanov B. F., Tokmachev M. S., Matematicheskie modeli v zdravookhranenii, NovGU im. Yaroslava Mudrogo, Velikii Novgorod, 2009, 279 pp.

[2] Tsinker M. Yu., Kiryakov D. A., Kamaltdinov M. R., “Primenenie kompleksnogo indeksa narusheniya zdorovya naseleniya dlya otsenki populyatsionnogo zdorovya v Permskom krae”, Izvestiya Samarskogo nauchnogo tsentra RAN, 15:3(6) (2013), 1988–1992

[3] Tyrsin A. N., Sokolova I. S., “Entropiino-veroyatnostnoe modelirovanie gaussovskikh stokhasticheskikh sistem”, Matematicheskoe modelirovanie, 24:1 (2012), 88–103

[4] Tyrsin A. N., Vorfolomeeva O. V., “Issledovanie dinamiki mnogomernykh stokhasticheskikh sistem na osnove entropiinogo modelirovaniya”, Informatika i ee primeneniya, 7:4 (2013), 3–10

[5] Klimontovich Yu. L., Vvedenie v fiziku otkrytykh sistem, Yanus-K, M., 2002, 284 pp.

[6] Timashev S. A., Tyrsin A. N., “Entropy Approach to Risk-Analysis of Critical Infrastructures Systems”, Vulnerability, Uncertainty, and Risk. Analysis, Modeling, and Management, Proceedings of the ICVRAM 2011 and ISUMA 2011 Conferences, ed. Ayyub B. M., ASCE, Reston, 2011, 147–154

[7] Profilaktika khronicheskikh neinfektsionnykh zabolevanii. Rekomendatsii, , M., 2013, 128 pp. (data obrascheniya: 03.04.2015) http://www.webmed.irkutsk.ru/doc/pdf/prevent.pdf

[8] Shannon C. E., “A Mathematical Theory of Communication”, The Bell System Technical Journal, 27 (1948), 379–423 ; 623–656 | DOI | MR

[9] Vinogradov I. M. (red.), Matematicheskaya entsiklopediya, v. 4, Sovetskaya entsiklopediya, M., 1984, 1216 pp.

[10] Vinogradov I. M. (red.), Matematicheskaya entsiklopediya, v. 3, Sovetskaya entsiklopediya, M., 1982, 1184 pp.

[11] Vadzinskii R. N., Spravochnik po veroyatnostnym raspredeleniyam, Nauka, SPb., 2001, 295 pp.

[12] V. N. Volkova, A. A. Emelyanov (red.), Teoriya sistem i sistemnyi analiz v upravlenii organizatsiyami: Spravochnik, Finansy i statistika, M., 2006, 848 pp.

[13] Vilson A. D., Entropiinye metody modelirovaniya slozhnykh sistem, Nauka, M., 1978, 248 pp.

[14] Pena D., Van der Linde A., “Dimensionless measures of variability and dependence for multivariate continuous distributions”, Communications in Statistics: Theory and Methods, 36:10 (2007), 1845–1854 | DOI | MR

[15] Nikolis G., Prigozhin I., Samoorganizatsiya v neravnovesnykh sistemakh: ot dissipativnykh struktur k uporyadochennosti cherez fluktuatsii, Mir, M., 1979, 512 pp.

[16] I. I. Eliseeva (red.), Ekonometrika, Finansy i statistika, M., 2006, 576 pp.

[17] Zagoruiko N. G., Prikladnye metody analiza dannykh i znanii, Izd-vo Instituta matematiki, Novosibirsk, 1999, 270 pp.

[18] Khardle V., Prikladnaya neparametricheskaya regressiya, Mir, M., 1993, 349 pp. | MR

[19] Lebedeva O. V., Tyrsin A. N., “Postroenie entropiinoi modeli dinamiki mnogomernoi stokhasticheskoi sistemy po eksperimentalnym dannym”, Sbornik nauchnykh trudov po itogam mezhdunarodnoi nauchno-prakticheskoi konferentsii, Aktualnye voprosy tekhnicheskikh nauk v sovremennykh usloviyakh, II, ITsRON, SPb., 2015, 53–60 (data obrascheniya: 03.04.2015) http://www.izron.ru/upload/iblock/f7e/1..pdf

[20] Orlov A. I., “O proverke odnorodnosti dvukh nezavisimykh vyborok”, Zavodskaya laboratoriya, 69:1 (2003), 55–60

[21] Marchenko A. G., “Kriterii otsenki sostoyaniya zdorovya naseleniya pri ego kompleksnom izuchenii”, Sovetskoe zdravookhranenie, 1979, no. 2, 23–28