A mathematical model for evaluating the work of the heart left ventrical segments and a numerical method for deformation curve restoration

Background. In a detailed study of the work of the left ventricle (LV) of the heart, it is necessary to take into account the error and errors in the initial data obtained using 3D speckle echocardiography. Despite the fact that 3D speckle echocardiography is one of the best methods for assessing myocardial function, the method also has disadvantages. For example, the result of the study significantly depends on the ultrasound specialist, the state of the sensor and the individual characteristics of the examined heart. To simulate the work of left ventrical, it is required to use means and methods for determining and restoring defective deformation curves. The purpose of this study is to develop quality criteria and a method for restoring segmental data of longitudinal deformation. Materials and methods. A numerical data of myocardial contractions were obtained using ultrasound examination by the "Vivid$^{TM}$E95" device. A numerical method is used to evaluate and restore the initial data. Results. In this research, the criteria for evaluating the deformation curves of keft ventrical segments are presented. A method for improving the initial data of myocardial deformity is proposed. Conclusions. The proposed criteria for evaluating the deformation curves in the longitudinal plane allow us to evaluate the quality of numerical data. The presented recovery method allows preprocessing of these deformations. This significantly improves the quality of further studies based on segmental interactions of left ventrical.