Abstract

Cardiovascular physics is an interdisciplinary research area where the ideas and methods from mathematics, physics, and biology are synergistically applied for advanced medical diagnosis. The research on cardiac activity includes the development of efficient quantitative techniques and theoretical approaches, as well as the use of mathematical reasoning to gain insight into the cardiovascular system. However, mathematical representation of the entire cardiac activity is still on the focus of the research of cardiovascular physics. Here in this paper, a simple computational model of cardiac activity has been designed through a cardiovascular system equation derived from the elementary fluid dynamics. The cardiovascular equation is expandable, by applying respective assumptions, therefore as the models of heart, blood flow rate, and blood pressure, the model of heart is flexible to represent the right and left ventricle, as well as right and left atria individually. The validity of the model has been estimated by deriving numerical figures of heart rate, end-diastolic volume, end-systolic volume, stroke volume, and ejection fraction. The analysis has also showed that the model can describe the abnormal conditions of the heart originated from heart blockage, leakage along with the normal operation. The validity of the models of blood flow rate and blood pressure has been verified by comparing the outcomes with some pre-established results in the physics of fluid dynamics.

Key words: Cardiovascular physics, cardiac activity, computational model, cardiovascular system equation, model of heart, blood flow rate, blood pressure.