It is known that the chirality of depolarisation and repolarisation processes may be basis for heart electrical instability.
Purpose: The purpose of this investigation was to use graph theory, topology, convex analysis, mathematical modelling for diagnosis of the racemic Moebius strip like disturbances of heart rhythm and conduction.
Object: The object of study was 100 electrocardiograms with different types of heart electrical instabilities, including pirouette ventricular pair extrasystoles, pirouette ventricular tachycardia, vicarious rhythms as combination of supraventricular and ventricular arrhythmias, as deriving of sinus node dysfunction, binodal syndrome.
Methods: The methods of the study were included investigation of depolarisation and repolarisation processes by topology, symmetry and, or asymmetry, spin rotation. We used algorithm, which reduces to qualitative and quantitative analysis of ECG in standard, inverted – 2D forms, as rotation bodies of ECG elements – 3D forms; constructing graphs, including “gift wrapping” algorithm; calculation distances between points, angles, graphs; comparison of qualitative and quantitative ECG characteristics by selective multiple testing; formulation of diagnostic conclusion.
Results: Qualitative and quantitative characteristics of 2D, 3D electrocardiograms in the patients with pirouette ventricular pair extrasystoles, pirouette ventricular tachycardia, vicarious rhythms as result of sinus node dysfunction, binodal syndrome gave us possibilities to determine peculiarities of oxymoron, fractal and antifractal, racemic Moebius strip like transitions and iteration.
Conclusions: Mathematics, complex geometry, topology will give us possibilities to diagnose heart electric instability mechanisms. Symmetry characteristics of heart electrical instability are a prerequisite for treatment correction.
Keywords— mathematical modelling, heart electrical instability, diagnosis
