Key result
A quasi-periodic two-component dynamical model using the fourth-order Runge-Kutta method successfully synthesized realistic cardio-signals with accurate temporal and spectral characteristics.
The study presents a novel mathematical model and software package for synthesizing realistic cardio-signals, which may aid in the analysis of heart rate variability and diagnostic features.
In the article, a quasi-periodic two-component dynamical model with possibility of defining the cardio-cycle morphology, that provides the model with an ability of generating a temporal and a spectral cardiosignal characteristics, including heart rate variability is described. A technique for determining the cardio-cycle morphology to provide realistic cardio-signal form is defined. A method for defining cardio-signal dynamical system by the way of determining a three-dimensional state space and equations which describe a trajectory of points motion in this space is presented. A technique for solving equations of motion in the three-dimensional state space of dynamical cardio-signal system using the fourth-order Runge-Kutta method is presented. Based on this model, algorithm and software package are developed. Using software package, a cardio-signal synthesis experiment is conducted and the relationship of cardio-signal diagnostic features is analyzed.
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Dmitry Vladimirovich Kazakov (2012) studied Cardio-signal synthesis (Mathematical modeling). Quasi-periodic two-component dynamical model was evaluated on Synthesis of realistic cardio-signals. A quasi-periodic two-component dynamical model using the fourth-order Runge-Kutta method successfully synthesized realistic cardio-signals with accurate temporal and spectral characteristics.
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