Development of an approach to mathematical description of imbalance in methabolic processes for its application in the medical diagnostic information system
DOI:
https://doi.org/10.15587/1729-4061.2018.141451Keywords:
flow cultivator, Lotka-Volterra model, metabolic syndrome, balance, approach, energy deposition, energy consumptionAbstract
The problem of diagnosing the metabolic syndrome associated with disturbance of carbohydrate and lipid metabolism was considered in this work. A new approach to determination of imbalance of metabolic processes was proposed. It is based on combining of the flow cultivator and the Lotka-Volterra models. Application of the model of flow cultivator provides an opportunity for objective assessment of initial conditions of behavior of the system acting as a human body and enables time matching of the model basic parameters. Initial conditions for modeling metabolic processes were determined using the Lotka-Volterra model. Use of these conditions makes it possible to determine stability of metabolic processes taking into account individual values of waist and hip circumference, weight, heart rate, age, systolic and diastolic pressure and the calculated Harris-Benedict value.
Cross-checking for a possible development of metabolic processes in people with normal and impaired metabolism has shown that the developed approach can be used in medical institutions for the early diagnosis of metabolic disorders. To establish balance of the metabolic processes that are characteristic of people without and with metabolic disorders, retrospective data of examination of 155 young people who were under observation for several years at Kharkiv municipal clinical hospital No. 11, Ukraine, have been analyzed.
The proposed approach is the basis of mathematical support of the medical diagnostic information system for detecting imbalance of metabolic processes which is developed currently. Application of such a system in the future will make it possible to study in detail the influence of various gender, territorial and age characteristics on the balance of metabolic processes in the human body.
References
- Kravec, E. B., Samoylova, Yu. G., Matyusheva, N. B., Bulanova, A. A., Dorohova, V. V., Yadmaa, O. (2008). Metabolicheskiy sindrom v obshchevrachebnoy praktike. Byulleten' sibirskoy mediciny, 1, 80–87.
- Rekomendacii Evropeyskogo Obshchestva Kardiologov. Evropeyskih klinicheskie rekomendacii po profilaktike serdechno-sosudistyh zabolevaniy (Peresmotr 2012 g.) (2012). Rossiyskiy kardiologicheskiy zhurnal, 4 (96), 1–84.
- Fadeenko, G. D., Gridnev, A. E. (2009). Ozhirenie i risk serdechno-sosudistyh zabolevaniy. Liky Ukrainy, 7 (133), 55–64.
- Berezina, M. V., Mihaleva, O. G., Bardymova, T. P. (2012). Ozhirenie: mekhanizmy razvitiya. Sibirskiy medicinskiy zhurnal, 7, 15–18.
- Kovalenko, V. M., Kornatskyi, V. M. (Eds.) (2016). Problemy zdorovia i medychnoi dopomohy ta model pokrashchannia v suchasnykhumovakh. Kyiv: «Hordon», 262.
- Zelinska, N. B. (2013). Ozhyrinnia ta metabolichnyi syndrom u ditei. Klinichna endokrynolohiya ta endokrynna khirurhiya, 4 (45), 62–72.
- Babak, O. Ya., Kolesnikova, E. V. (2006). Uchastie pecheni v formirovanii metabolicheskogo sindroma i insulinorezistentnosti. Sostoyanie problemy. Suchasna hastroenterolohiya, 4 (30), 8–12.
- Shilov, A. M., Eremina, I. V., Abdullaeva, A. T. (2012). Korrekciya uglevodnogo obmena u bol'nyh s metabolicheskim sindromom po dannym sutochnogo monitorirovaniya glikemii. Arhiv vnutrenney mediciny, 4 (6), 20–26.
- Hrisanfova, E. N., Perevozchikov, I. V. (2005). Antropologiya: ucheb. Moscow: Izd-vo Mosk. universiteta: Nauka, 400.
- Polina, N. I., Krivickiy, V. V. (2016). Fizicheskoe razvitie studencheskoy molodezhi. Minsk: Belaruskaya navuka, 233.
- Vernigorova, N. V. (2012). Analiz zabolevaemosti i rasprostranennosti ozhireniya v gruppe detey i podrostkov v usloviyah severnyh territoriy. Medicina i obrazovanie v Sibiri: elektronnyy zhurnal, 4. Available at: http://www.ngmu.ru/cozo/mos/article/annotacy_full.php?id=759
- Shano, V. P., Gladkaya, S. V., Gur'yanov, V. G., Gumenyuk, I. V., Gordienko, I. V. (2014). Prognozirovanie riska razvitiya abdominal'nogo kompartment-sindroma u bol'nyh s hirurgicheskoy patologiey organov bryushnoy polosti. Medicina neotlozhnyh sostoyaniy, 2 (57), 153–158.
- Trushkina, I. V., Filippov, G. P., Leont'eva, I. V. (2010). Prognozirovanie razvitiya metabolicheskogo sindroma v podrostkovom vozraste. Pediatriya, 89 (5), 33–36.
- Gerasin, S. N., Matiychenko, N. A., Shlyahov, V. V. (2012). Ocenka ustoychivosti raboty protochnogo hemostata s postoyannym i periodicheskim vhodnym potokom. Matematicheskoe modelirovanie, 2 (27), 14–18.
- Borisov, A. V., Krasnobaeva, L. A., Shapovalov, A. V. (2012). Vliyanie diffuzii i konvekcii na dinamiku hemostata. Komp'yuternye issledovaniya i modelirovanie, 4 (1), 121–129.
- Abakumov, A. I. (2012). Ustoychivost' v modelyah zhiznedeyatel'nosti fitoplanktona. Vestnik NGU. Seriya: Informacionnye tekhnologii, 10 (1), 24–32.
- Rabinovich, M. I., Myuezinolu, M. K. (2010). Nelineynaya dinamika mozga: emocii i intellektual'naya deyatel'nost'. Uspekhi fizicheskih nauk, 180 (4), 371–387.
- Bogdanov, A. Yu. (2009). Noviy podhod k issledovaniyu ustoychivosti neavtonomnyh diskretnyh sistem tipa Lotki-Vol'terra. Izvestiya vysshih uchebnyh zavedeniy. Povolzhskiy region. Fiziko-matematicheskie nauki. Matematika, 4 (12), 39–47.
- Oliinyk, A. P., Oliinyk, Ye. A. (2017). Matematychne modeliuvannia protsessu obminu rechovyn v orhanizmi liudyny ta yoho prohramna realizatsiya. Metody ta prylady kontroliu yakosti, 1 (38), 112–118.
- Kal'kulyator osnovnogo obmena veshchestv. Available at: https://itunes.apple.com/ru/app/%D0%BA%D0%B0%D0%BB%D1%8C%D0%BA%D1%83%D0%BB%D1%8F%D1%82%D0%BE%D1%80-%D0%BE%D1%81%D0%BD%D0%BE%D0%B2%D0%BD%D0%BE%D0%B3%D0%BE-%D0%BE%D0%B1%D0%BC%D0%B5%D0%BD%D0%B0-%D0%B2%D0%B5%D1%89%D0%B5%D1%81%D1%82%D0%B2/id1151120603?mt=8
- Raschet skorosti obmena veshchestv. Available at: https://beregifiguru.ru/%D0%9A%D0%B0%D0%BB%D1%8C%D0%BA%D1%83%D0%BB%D1%8F%D1%82%D0%BE%D1%80%D1%8B/%D0%A0%D0%B0%D1%81%D1%87%D0%B5%D1%82-%D1%81%D0%BA%D0%BE%D1%80%D0%BE%D1%81%D1%82%D0%B8-%D0%BE%D0%B1%D0%BC%D0%B5%D0%BD%D0%B0-%D0%B2%D0%B5%D1%89%D0%B5%D1%81%D1%82%D0%B2
- Chesnokova, I. V. (2007). Avtomatizirovannaya sistema diagnostiki i podbora individual'noy terapii arterial'noy gipertenzii. Vrach i informacionnye tekhnologii, 4, 81–82.
- Yakubovska, S., Vуsotska, O., Porvan, A., Yelchaninov, D., Linnyk, E. (2016). Developing a method for prediction of relapsing myocardial infarction based on interpolation diagnostic polynomial. Eastern-European Journal of Enterprise Technologies, 5 (9 (83)), 41–49. doi: https://doi.org/10.15587/1729-4061.2016.81004
- Vуsotska, O., Dobrorodnia, G., Gordiyenko, N., Klymenko, V., Chovpan, G., Georgiyants, M. (2016). Studying the mechanisms of formation and development of overweight and obesity for diagnostic information system of obesity. Eastern-European Journal of Enterprise Technologies, 6 (2 (84)), 15–23. doi: https://doi.org/10.15587/1729-4061.2016.85390
- Porvan, A. (2015). Technology for determining of students adaptive capabilities. 2015 Information Technologies in Innovation Business Conference (ITIB). doi: https://doi.org/10.1109/itib.2015.7355050
- Georgiyants, M., Khvysyuk, O., Boguslavskaуa, N., Vysotska, O., Pecherska, A. (2017). Development of a mathematical model for predicting postoperative pain among patients with limb injuries. Eastern-European Journal of Enterprise Technologies, 2 (4 (86)), 4–9. doi: https://doi.org/10.15587/1729-4061.2017.95157
- Vysotskaya, E. V., Strashnenko, A. N., Demin, Y. A., Prasol, I. V., Sinenk, C. A. (2013). A method for prognosis of primary open-angle glaucoma. International Review on Computers and Software, 8 (8), 1943–1949.
- Rysovana, L., Vуsotska, O., Falyova, H., Georgiyants, M., Klymenko, V. (2017). Factor analysis of crisis emergence in family relations, contributing to the development of dyscirculatory encephalopathy. Eastern-European Journal of Enterprise Technologies, 1 (4 (85)), 40–49. doi: https://doi.org/10.15587/1729-4061.2017.91428
- Vуsotska, O., Balym, Y., Georgiyants, M., Pecherska, A., Nosov, K., Bespalov, Y. (2017). Modeling of a procedure for unmasking the foxes during activities on the elimination of biosafety threats related to rabies. Eastern-European Journal of Enterprise Technologies, 5 (10 (89)), 46–54. doi: https://doi.org/10.15587/1729-4061.2017.109868
- Samsonkin, V. N., Filippenko, I. G. (1983). K voprosu primeneniya teorii konechnyh avtomatov dlya modelirovaniya raboty adaptivnoy sistemy. Avtomatika, 12, 43–46.
- Molchanov, A. M. (Ed.) (1975). Matematicheskoe modelirovanie v biologii. Materialy I shkoly po matematicheskomu modelirovaniyu slozhnyh biologicheskih sistem. Moscow: Nauka, 156.
- Henein, M. Y., Zhao, Y., Nicoll, R., Sun, L., Khir, A. W., Franklin, K., Lindqvist, P. (2011). The human heart: Application of the golden ratio and angle. International Journal of Cardiology, 150 (3), 239–242. doi: https://doi.org/10.1016/j.ijcard.2011.05.094
- Pallett, P. M., Link, S., Lee, K. (2010). New “golden” ratios for facial beauty. Vision Research, 50 (2), 149–154. doi: https://doi.org/10.1016/j.visres.2009.11.003
- Hassaballah, M., Murakami, K., Ido, S. (2013). Face detection evaluation: a new approach based on the golden ratio ({Phi}). Signal, Image and Video Processing, 7 (2), 307–316. doi: https://doi.org/10.1007/s11760-011-0239-3
- Iosa, M., Fusco, A., Marchetti, F., Morone, G., Caltagirone, C., Paolucci, S., Peppe, A. (2013). The Golden Ratio of Gait Harmony: Repetitive Proportions of Repetitive Gait Phases. BioMed Research International, 2013, 1–7. doi: https://doi.org/10.1155/2013/918642
- Marzetti, E. (2012). Imaging, functional and biological markers for sarcopenia: the pursuit of the golden ratio. Frailty Aging, 1 (3), 97–98. doi: http://doi.org/10.14283/jfa.2012.15
- Lagovskiy, A. F., Stukalin, D. Yu. (2009). Analiz differencial'noy sistemy Lotki-Vol'terry s tochki zreniya teorii ustoychivosti. Vestnik Rossiyskogo gosudarstvennogo universiteta im. I. Kanta, 10, 99–103.
- Al'dzhaafrekh Mohammad Rakan Abed, A. (2014). Numerical research of stability in Lotka-Volterra systems with perturbed right side. Technology audit and production reserves, 3 (1 (17)), 20–22. doi: https://doi.org/10.15587/2312-8372.2014.25275
- Britaeva, O. M., Zvonareva, I. V. (2012). Matematicheskoe modelirovanie rynka turoperatorov na osnove sistemy «hishchnik – zhertva». Tekhniko-tekhnologicheskie problemy servisa, 4 (22), 97–100.
- Sokolova, L. K. (2012). Metabolicheskiy sindrom i associirovannye s nim zabolevaniya: kriterii diagnostiki, principy terapii. Obzor literatury i sobstvennye dannye. Liky Ukrainy, 10 (166), 14–19.
- Unifikovanyi klinichnyi protokol pervynnoi, vtorynnoi (spetsializovanoi) ta tretynnoi (vysokospetsializovanoi) medychnoi dopomohy. Profilaktyka sertsevo-sudynnykh zakhvoriuvan. Nakaz Ministerstva okhorony zdorovia Ukrainy vid 13.06.2016 No. 564. Available at: http://mtd.dec.gov.ua/images/dodatki/2016_564_PSSZ/2016_564_YKPMD_PSSZ.pdf
- Novye rekomendacii po lecheniyu arterial'noy gipertonii Amerikanskoy kardiologicheskoy associacii (ANA). 2017. Available at: http://www.gipertonik.ru/files/news/48/recomedacii.pdf
- Diagnostika, lechenie, profilaktika ozhireniya i associirovannyh s nim zabolevaniy (nacional'nye klinicheskie rekomendacii). Available at: http://www.scardio.ru/content/Guidelines/project/Ozhirenie_klin_rek_proekt.pdf
- Bratus', A., Novozhilov, A., Platonov, A. Dinamicheskie sistemy i modeli v biologii. Available at: http://avmaksimov.ucoz.ru/_ld/1/109_-Bratus_A-Novoz.pdf
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Copyright (c) 2018 Hanna Dobrorodnia, Olena Vуsotska, Marine Georgiyants, Yurii Balym, Olexandr Dovnar, Larisa Rak, Konstantin Nosov, Andrii Porvan
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