Персонализированная математическая модель сердечно-сосудистой системы с механизмом барорефлекса

Abstract

Patient’s physical activity is one of the most important indicators that influences the cardiovascular conditions. The baroreflex is the mechanism that contribute to the regulation of arterial blood pressure. It maintains an optimal level of the arterial pressure as a response to changes in the patient’s activity. This work considers the developed mathematical model describing the cardiovascular system from the point of view of global distributions of parameters: pressures, flows and volumes in the parts of the cardiovascular system. It was shown that the model reproduces normal blood circulation, heart failure and pediatric circulation with an accuracy that meets the goals of modeling. Blood pressure automated regulation mechanism represents changes that occur during an increased level of activity for a healthy patient. The heart rate during the state of rest is about 80 bpm; the mean arterial pressure is 104 mm Hg and the flow rate in the system is 5.4 l/min. During the physical activity the heart rate increases to 130 bpm; the mean arterial pressure is 108 mm Hg and the flow rate in the system is 8 l/min. A comparison was made for the four most important parameters of blood circulation. It has been established that the model reproduced the parameters of blood circulation with sufficient accuracy: the relative error was less than 6 %. The developed model can be used in personalized medicine for individual modeling for the patient’s blood circulation with account taken of various parameters of the patient: age, physique, diseases, and different levels of physical activity. For the further research, the model can be supplemented with a ventricular assist device during the heart failure state with purpose to study interactions in the biotechnical system.