350 rub
Journal Biomedical Radioelectronics №12 for 2010 г.
Article in number:
Diagnostics of a Condition of Cardiovascular System on a Basis Fractal Analysis RR-Intervalgram
Keywords: cardiointervalgram fractals dimension multifractal diagnosing arrhythmia
Authors:
N.T. Abdullaev, O.A. Dyshin, G.T. Khasmamedova
Abstract:
Electrocardiogram functions as a time number of potentials are transformed in RR-intervalgram as aperiodic sequence cardiocycle. Behaviour RR-intervalgram has character of randomness and for its estimation it is possible to use characte-ristics fractal sets. In work a dynamic number of RR-intervals is considered as non-uniform fractal object - a multifractal. For an estimation of multifractals it is used generalised fractal dimension - dimension Renee. This indicator is considered as the diagnostic crite-rion confirming, that the analyzed object is a non-uniform fractal. Dependence between dimension Renyi and function multi-fractal a spectrum, and also with scaling an indicator and generalised indicator Hurst is defined. The algorithm is developed for calculation of the specified dependences for the purpose of use generalised fractal dimensions as an informative sign for diagnosing warm arrhythmia. Calculations are spent for RR-intervalgram patients with normal cardiovascular system, and al-so for patients with the various infringements directly menacing to human life: ventricular tachyarrhythmia, intracardiac ar-terial fibrillation, oscillations arrhythmia
Pages: 25-29
References
  1. Исаков Р.В., Кузнецов А.А., Сушкова Л.Т. Методы и средства обработки информации при оценке функционального состояния организма человека. Владимир: Собор. 2006. 144 с.
  2. Кавасма Р.А., Кузнецов А.А., Сушкова Л.Т. Автоматизированный анализ и обработка электрокардиографических сигналов. Методы и система / под ред. проф. Л.Т. Сушковой. М.: Сайнс-пресс. 2006. 144 с.
  3. Федер Е. Фракталы. М.: Мир. 2001. 260 с.
  4. Ахромеева Т.С., Курдюмов С.П., Малинецкий Г.Г., Самарский А.А. Нестационарные структуры и диффузионный хаос. М.: Наука. 1992. 544 с.
  5. Божокин С.В., Паршин Д.А. Фракталы и мультифракталы. Ижевск: НИЦ. Регулярная и хаотическая динамика. 2001. 128 с.
  6. Mizy J.F., Bacry Е., Arneodo А. // Int. J.Bifurcat Chaos. 1996.V.4. P.245
  7. Kantelhardt J.W., Zschiegner S.А., Koscielny-Bumde Е., Havlin S., Bumde А., Stanley H.Е. Multifractal detrended fluctuation analysis of non-stationary time series // Physica А. 2002. V. 316. P. 87 - 114.
  8. Олемской А.И. Синергетика сложных систем. Феноменология и статистическая теория. М.:КРАСАНД. 2009.384 с.
  9. Hurst H.Е. Long-term storage capacity of reservoirs // Trans. Am. Sos. Civ. Eng. 1951. V. 116. P.770-808.
  10. www.PhysioNet.org