Date and Time: Wednesday, 21 December 2016, at 11:00 AM

Venue: room 310, Laboratory of Information Technologies

Seminar topic: «Mathematical modeling of instantaneous cardiac rhythm based on Holter monitoring» (on materials of Candidate thesis)

Speaker: D.Yu. Lebedev (Tver State University)

Abstract:

According to 2011 World Health Organization (WHO), it reflects the statistics of the global causes of all deaths of the population of the Earth, cardiovascular disease has a leading position and be 31%. The prevalence of diseases of the cardiovascular system and a related large share of deaths show importance of this research. Modern principles of constructing diagnostic and prognostic of systems and models do not allow one to fully approach this problem due to the fact that the existing models and approaches do not accurately describe those critical processes and the transitions to them.

This thesis work is the developmentof a mathematical models of the instantaneous heart rate on the basis of the Holter monitoring (HM) and mathematical models multifractal dynamics (MFD). This approach allows us to calculate parameters MFD MSD and on their basis to predict its dynamics. MFD allows one to describe the crisis phenomena in dynamical systems to identify the important parameters describing the dynamics of the process, to predict possible cardiovascular accident. The mathematical simulation of crisis phenomena in the dynamics of the heart rhythms will help to better understand the nature of the operation the cardiovascular system and, accordingly, to predict the occurrence of adverse cardiovascular episodes. So in the mode, MFD arrhythmia has a bifurcation nature that allows us to hope for the establishment of effective ways of influencing this condition.

Special attention in the research is focussed on the development of a new, more informative compared to the 2D-scatterograms method of visualization of big data daily HMM-based 3D-scatterogram better and clearly demonstrates the nature of the arrhythmia.