METHODS OF IDENTIFICATION OF THE DYNAMIC MODEL OF THE CARDIOVASCULAR SYSTEM REACTION TO PHYSICAL ACTIVITY IN PATIENTS WITH MYOCARDIAL INFARCTION IN THE PROCESS OF REHABILITATION
DOI:
https://doi.org/10.11603/mie.1996-1960.2019.1.10111Keywords:
dynamic model of the reaction of the cardiovascular system on exercise, myocardial infarction, cardio-rehabilitationAbstract
Background. Predicting the dynamics of pulse and blood pressure under physical activity is a key task in planning the patient's rehabilitation process after cardiovascular events and, firstly, myocardial infarction. Nowadays, it is empirically solved, however, the development of an adequate mathematical model for predicting major hemodynamic indicators would avoid the subjectivity of assessments and increase the reliability of the prognosis, safety and effectiveness of rehabilitation technology.
The aim of the study: to develop and identify a dynamic model of the cardiovascular system response to physical activity in patients with myocardial infarction during the rehabilitation process.
Materials and methods. Results. In order to formulate the judgment about changing the patient's condition under the action of physical activity in the process of rehabilitation, a system for modeling the levels of pulse and blood pressure using a package of applied programs for mathematical modeling was implemented. Its main subsystems are processing and data identification, forecasting data generation. To verify the adequacy of the constructed model, a mode to check the tolerance to physical activity was used. Observations were conducted on a group of patients with myocardial infarction of the functional class I-II in the sub acute phase of rehabilitation. The dynamics of the body's response to patients with identical physical activity was recorded at an interval of 3 minutes in the course of a defined phase of the rehabilitation program.
The obtained results testify to the adequacy of the constructed mathematical model for the analyzed stage of the rehabilitation process. The maximum error rate for the entire observation period was 9.5 % for pulse, and 5.2 % for blood pressure.
Conclusions. 1. The mathematical model of the dynamics of pulse and blood pressure under the action of physical activity in the sub-stage of the rehabilitation phase allows predicting the body's response to the graduated exercise.
2. The method of identification of a set of differential equations that simulates the dynamics of pulse and blood pressure under the action of exercise on the basis of the modified gradient Levenberg-Marquardt method, supplemented by the procedure for choosing the initial values of the coefficients, confirms the adequacy of the developed mathematical model.
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