Mathematical Models of Electrocardiosignals for the Task of Their Simulation, Taking into Account Various Types of Artifacts

Abstract

This article presents the developed new stochastic mathematical models of the electrocardiosignal, which allow to take into account the randomness and cyclicity of its physical nature and the possibility of taking into account various types of artifacts, which may be due to various reasons (zero drift of the isopotential line, poor contact of the electrodes with the patient's body surface, etc.). The artifacts that allow to take into account mathematical models primarily include those that manifest themselves in a change in the shape of the electrocardiosignal, that is, atypical changes in morphology not associated with signs of pathologies or signs of a normal signal. These atypical changes are taken into account by mathematical models both on cycle segments and on individual segments-zones of the electrocardiosignal. In addition, the developed mathematical models allow to take into account changes in the rhythm of such a cyclic signal by taking it into account in the rhythm function, and therefore, in addition to artifacts that manifest themselves in the morphology of the signal, mathematical models allow to lay down possible artifacts associated with the rhythm during modeling.