Formation of analytical data for multivariate analysis using algebraic model of constructive logic

S. Fedorov; K. Kitanina; V. Khromushin; O. Khromushin

doi:doi:10.12737/13074

Formation of analytical data for multivariate analysis using algebraic model of constructive logic

Published в Journal of New Medical Technologies. eJournal · Volume 9, Issue 3, 2015 · Pages 0–0 · Rubrics: BIOLOGY OF COMPOUND SYSTEMS. MATHEMATIC BIOLOGY AND BIOINFORMATION IN MEDICOBIOLOGICAL SYSTEMS

DOI 10.12737/13074

Received: 04.09.2015 Accepted: 04.09.2015 Published: 04.09.2015 Language of publication: RUS

Authors

S. Fedorov · K. Kitanina · V. Khromushin · O. Khromushin

ABSTRACT

Mathematical device of algebraic model of constructive logic has been used for many years for multivariate analysis in medicine and biology. The resulting mathematical model is represented by a set of output components in the form of factors indicating the detection restrictions, which are united by the sign of con-junction (indicating joint influence). Each resulting component is characterized by a capacity, which is the es-sence of the number of rows in the table with the same factors and their intervals of definition. These capacities characterize the degree of influence of the resulting component on the overall result. The input table must not contain contradictions (when the goal is achieved and not achieved when the same values of the factors). For this purpose, the computer program provides for an exception to those target lines, which coincide with non-target rows. However, this is not always acceptable in cases of a large number of matching target lines and unit numbers of non-target rows or vice versa, because a large number of cases is excluded because of a single non-target rows or single target lines. These contradictions arise, primarily, due to the probabilistic nature of the cases. This is clearly seen in the monitoring of mortality. In this article the authors propose three ways optimum yield conflicting source data, based on the excess multiplicity of frequencies matching target and non-target cases and estimates of confidence intervals. The pro-posed methods are examined by analyzing data on deaths of persons aged 18 years and older, residents of the Tula region for 2007-2014 (total 208269 cases). An age cohort 45-54 years is a goal of study. The application of methods of optimum yield conflicting source data is a necessity, which not only im-proves the mathematical model, but, in some cases, is the only way to perform multivariate analysis. All pro-posed methods have their own scope of use, depending on the circumstances.

KEYWORDS

multivariate analysis mathematical model database.

Information References

Authors:

Type:

Article

Pages:

from 0 to 0

Status:

Published

Language:

Russian

Keywords:

multivariate analysis, mathematical model, database.

References

1. Shcheglov V.N. Algebraicheskie modeli konstruktivnoy logiki dlya upravleniya i optimizatsii khimiko-tekhnologicheskikh sistem: avtore¬f. diss. k.t.n.. L.: Tekhnologicheskiy institut im. Lensoveta, 1983. 20 s.

2. Shcheglov V.N., Khromushin V.A. Intellektual´naya sistema na baze algo¬ritma postroeniya algeb-raicheskikh modeley konstruktivnoy (intuitsio¬nistskoy) logiki. Vestnik novykh meditsinskikh tekhnolo-giy. 1999. №2. S.131-132.

3. Khromushin V.A. Sistemnyy analiz i obrabotka informatsii meditsinskikh registrov v regio-nakh: avtoref. diss. d.b.n. Tula: TulGU, 2006. 44 s.

4. Khromushin V.A. Metodologiya obrabotki informatsii meditsinskikh registrov. Tula: TulGU, 2005. 120 s.

5. Khromushin V.A., Buchel´ V.F., Zherebtsova V.A., Chestnova T.V. Programma postroeniya algebrai-cheskikh modeley konstruktivnoy logiki v bio¬fizike, biologii i meditsine. Vestnik novykh meditsinskikh tekhnolo¬giy. 2008. №4. S.173-174.

6. Khromushin V.A., Khromushin O.V., Minakov E.I. Algoritm i programma analiza rezul´tiruyu shchikh implikant algebraicheskoy modeli konstruktivnoy logiki. XXXXVI nauchno-prakticheskaya konfe-rentsiya professorsko-prepodavatel´skogo sostava TulGU «OBShchESTVENNOE ZDOROV´E I ZDRAVO-OKhRANENIE: PROFILAKTIChESKAYa I KLINIChESKAYa MEDITsINA»: Sbornik statey. Tula, 2010. S.138-148.

7. Khromushin V.A., Lastovetskiy A.G., Kitanina K.Yu. Khromushin O.V. Opyt vypolneniya analiti-cheskikh raschetov s ispol´zovaniem algebraicheskoy modeli konstruktivnoy logiki v meditsine i biolo-gii. Vestnik novykh meditsinskikh tekhnologiy. 2013. №4. S.7-11.

8. Khromushin V.A., Khadartsev A.A. Osobennosti i funktsional´nye vozmozhnosti algebraicheskoy modeli konstruktivnoy logiki. Izvestiya Akademii inzhenernykh nauk im. A.M. Prokhorova. Yubileynyy tom, posvyashchennyy 20-letiyu Akademii inzhenernykh nauk RF / Pod red. Yu.V. Gulyaeva. Moskva - N.Novgorod: NGTU, 2011. S.196-205.

9. Khromushin V.A. Ispol´zovanie algebraicheskikh modeley konstruktivnoy logiki v meditsine i biologii. XXXXV nauchno-prakticheskaya konferentsiya professorsko-prepodavatel´skogo sostava Tul-GU «OBShchESTVENNOE ZDOROV´E I ZDRAVOOKhRANENIE: PROFILAKTIChESKAYa I KLINIChE-SKAYa MEDITsINA»: Sbornik statey. Tula, 2009. S.147-154.

10. Khromushin V.A., Khadartsev A.A., Khromushin O.V., Chestnova T.V. Obzor analiticheskikh rabot s ispol´zovaniem algebraicheskoy modeli konstruktivnoy logiki. Vestnik novykh meditsinskikh tekhnolo-giy. Elektronnoe izdanie. 2011. №1. Publikatsiya 3-2. URL: http://www.medtsu.tula.ru/VNMT/Bulletin/ E2011-1/LitObz.pdf (data obrashcheniya: 16.08.2011).

11. Khromushin V.A., Khadartsev A.A., Buchel´ V.F., Khromushin O.V. Algoritmy i analiz meditsinskikh dannykh. Uchebnoe posobie. Tula: Izd-vo «Tul´skiy poligrafist», 2010. 123 s.

12. Khadartseva K.A. Sistemnyy analiz parametrov vektora sostoyaniya organizma zhenshchin reproduktivnogo vozrasta pri akushersko-ginekologicheskoy patologii: avtoref. diss. d.m.n. Tula: TulGU, 2009. 43 s.

13. Seregina N.V. Sistemnyy analiz izmeneniy virulentnykh svoystv uslovno-patogennykh bakte-riy pri vzaimodeystvii ikh s prirodnymi biologicheski aktivnymi veshchestvami: avtoref. diss. k.b.n. Tula: TulGU, 2008. 27 s.

14. Kitanina K.Yu. Mnogofaktornyy analiz pervichnoy invalidnosti vzroslogo naseleniya Tul´-skoy oblasti: avtoref. k.m.n. Tula: TulGU, 2012. 27 s.

15. Kitanina K.Yu., Khromushin V.A. Litvyak O.I., Ovsyannikova E.N. Razrabotka metodiki uglub-lennogo mnogofaktornogo analiza pervichnoy invalidnosti, s ispol´zovaniem usovershenstvovannoy metodiki obobshchennoy otsenki pokazateley zdravookhraneniya i algebraicheskoy modeli konstruktivnoy logiki. Mediko-sotsial´nye problemy invalidnosti. 2012. №4. S.40-45.

16. Khromushin V.A., Kitanina K.Yu._Analiz invalidnosti naseleniya Tul´skoy oblasti. Vestnik novykh meditsinskikh tekhnologiy. Elektronnyy zhurnal. 2012. №1. Publikatsiya 1-1. URL: http://www.medtsu.tula.ru/VNMT/Bulletin/E2012-1/3717.pdf. (Data obrashcheniya: 21.02.2012).

17. Shcheglov V. N., Buchel´ V. F., Khromushin V. A. Logicheskie modeli struktur zabolevaniy za 1986-1999 gody uchastnikov likvidatsii avarii na ChAES i/ili muzhchin, prozhivayushchikh v porazhennoy zone i imeyushchikh zlokachestvennye novoobrazovaniya organov dykhaniya. Radiatsiya i risk. 2002. Vyp. 13. S.56-59.

18. Martynenko P.G., Volkov V.G., Khromushin V.A. Prognozirovanie prezhdevremennykh rodov: re-zul´taty algebraicheskogo modelirovaniya na osnove konstruktivnoy logiki. Vestnik novykh meditsin-skikh tekhnologiy. 2009. №1. S.210-211.

19. Khromushin V.A. Sravnitel´nyy analiz algebraicheskoy modeli konstruktivnoy logiki. Vestnik novykh meditsinskikh tekhnologiy. Elektronnoe izdanie. 2013. N1. Publikatsiya 1-19. URL: http://www.medtsu.tula.ru/VNMT/Bulletin/E2013-1/4500.pdf. (Data obrashcheniya: 12.08.2013).

20. Khromushin O.V. Sposob vydeleniya glavnykh rezul´tiruyushchikh sostavlyayushchikh v algebraicheskoy modeli konstruktivnoy logiki. Vestnik novykh meditsinskikh tekhnologiy. Elektronnyy zhurnal. 2012. №1. Publikatsiya 1-2. URL: http://www.medtsu.tula.ru/ VNMT/Bulletin/E2012-1/3966.pdf (Data obrashcheniya: 15.05.2012).

21. Khromushin V.A., Khromushin O.V. Programma dlya vydeleniya glavnykh rezul´tiruyushchikh sostav-lyayushchikh v algebraicheskoy modeli konstruktivnoy logiki. Vestnik novykh meditsinskikh tekhnologiy. Elektronnoe izdanie. 2014. №1. Publikatsiya 7-8. URL: http://www.medtsu.tula.ru/VNMT/Bulletin/ E2014-1/4899.pdf. (Data obrashcheniya: 26.08.2014). DOI:https://doi.org/10.12737/5612

22. Aver´yanova D.A., Lebedev M.V., Khromushin V.A., Lastovetskiy A.G. Travmatizm v dorozhno-transportnykh proisshestviyakh: analiticheskie issledovaniya s ispol´zovaniem algebraicheskoy modeli konstruktivnoy logiki. Uchebnoe posobie.¬¬ Moskva: RIO TsNIIOIZ, 2014. 120s.

23. Khromushin V.A., Kitanina K.Yu., Khromushin O.V., Fedorov S.Yu. Sovershenstvovanie algeb-raicheskoy modeli konstruktivnoy logiki: monografiya. Tula: Izd-vo TulGU, 2015. 100 s.

24. Khromushin V.A., Pan´shina M.V., Dail´nev V.I., Kitanina K.Yu., Khromushin O.V. Postroenie ekspertnoy sistemy na osnove algebraicheskoy modeli konstruktivnoy logiki na primere gestozov. Vestnik novykh meditsinskikh tekhnologiy. Elektronnoe izdanie. 2013. №1. Publikatsiya №1-1. URL: http://www.medtsu.tula.ru/VNMT/Bulletin/E2013-1/4171.pdf. (Data obrashcheniya: 03.01.2013).

25. Makhalkina V.V. Obrabotka slabostrukturirovannoy informatsii pri postroenii bazy znaniy ekspertnoy sistemy mikroelementnykh narusheniy u cheloveka: avtoref. diss. k.b.n. Tula: TulGU, 2009. 23 s.

26. Khromushin V.A., Fadeeva T.S., Khromushin O.V., Patsukova D.V. Optimizatsiya bazy dannykh dlya mnogofaktornogo analiza s pomoshch´yu algebraicheskoy modeli konstruktivnoy logiki. Vestnik novykh meditsinskikh tekhnologiy. Elektronnoe izdanie. 2014. №1. Publikatsiya 1-1. URL: http://www.medtsu.tula.ru/VNMT/Bulletin/ E2014-1/4786.pdf. (Data obrashcheniya: 20.01.2014) DOI:https://doi.org/10.12737/3863

27. Khromushin V.A., Khadartsev A.A., Dail´nev V.I., Lastovetskiy A.G. Printsipy realizatsii mo-nitoringa smertnosti na regional´nom urovne. Vestnik novykh meditsinskikh tekhnologiy. Elektronnyy izdanie. 2014. №1. Publikatsiya 7-6. URL: http://www.medtsu.tula.ru/VNMT/Bulletin/ E2014-1/4897.pdf. DOI:https://doi.org/10.12737/5610

28. Vaysman D.Sh., Nikitin S.V., Khromushin V.A. Registr smertnosti MedSS. Svidetel´stvo o gosudarstvennoy registratsii programmy dlya EVM №2010612611. Zaregistrirovano v Reestre programm dlya EVM 15.04.2010 po zayavke №2010610801 ot 25.04.2010.

29. Vaysman D.Sh., Pogorelova E.I., Khromushin V.A. O sozdanii avtomatizirovannoy kompleksnoy sistemy sbora, obrabotki i analiza informatsii o rozhdaemosti i smertnosti v Tul´skoy oblasti. Vestnik novykh meditsinskikh tekhnologiy. 2001. №4. S.80-81.

30. Khromushin V.A., Kitanina K.Yu., Dail´nev V.I. Kodirovanie mnozhestvennykh prichin smerti: Uchebnoe posobie. Tula: Izd-vo TulGU, 2012. 60 s.

31. Khromushin V.A., Khadartseva K.A., Kopyrin I.Yu., Khromushin O.V. Metod analiticheskogo tes-tirovaniya v verifikatsii dannykh meditsinskikh registrov. Vestnik novykh meditsinskikh tekhnologiy. 2011. №4. S.252-253.

32. Khromushin V.A., Pogorelova E.I., Sekrieru E.M. Vozmozhnosti dopolnitel´nogo povysheniya dostovernosti dannykh po smertnosti naseleniya. Vestnik novykh meditsinskikh tekhnologiy. 2005. №2. T.12. S.95-96.

33. Khromushin V.A., Nikitin S.V., Vaysman D.Sh., Pogorelova E.I., Sekrieru E.M. Povyshenie dostovernosti kodirovaniya vneshnikh prichin smerti. Vestnik novykh meditsinskikh tekhnologiy. 2006. №1. T.13. S. 147-148.

34. Pogorelova E.I. Nauchnoe obosnovanie sistemy meropriyatiy povysheniya dostovernosti sta-tistiki smertnosti naseleniya: avtoref. k.m.n. M.: TsNII organizatsii i informatizatsii Ministerstva zdravookhraneniya RF, 2004. 24 s.

Доступ и загрузка

🗂 JATS XML ❝ To cite 📎 Citations

—

Views

—

Downloads

Citations

Индексируется в

Formation of analytical data for multivariate analysis using algebraic model of constructive logic

Confirmation

Регистрация