MATHEMATICAL MODELING OF A PULSATING HEART WITH VENTRICULAR SEPTAL DEFECT

Abstract

Background. The paper considers the problem of creating a mathematical model of a heart with a congenital anomaly of the interventricular septum. This malformation is one of the most common and occurs both separately or in combination with other abnormalities. Materials and methods. The mathematical model refers to zero-dimensional models of blood circulation and consists of sequentially connected active and passive chambers. Laplace's law for a thin-walled sphere, a 4-element Hill muscle model and an augmented Starling's law are used to model active chambers. The ventricular septal defect in the model is represented by the equations of connection between the ventricles. Results. Examples of numerical studies of the model are given, on the basis of which a strong effect of an interventricular septal defect on general blood circulation has been established. Conclusions. The model will provide additional information for early diagnosis, as well as become the basis for medical decision support systems in cardiology practice.

Keywords

• mathematical modeling
• congenital heart disease
• ventricular septal defect
• pulsating heart
• a zero-dimensional model of blood circulation