Calculation of Vascular Impedance for Modeling the Arterial System in Patients with Cardiovascular Diseases

Abstract

The process of detecting pathologies in the human cardiovascular system remains challenging despite advancements in current technologies. It is imperative to devise new methods to aid in diagnosing the diseases. This study focuses on an approach employed in Cardiovascular Engineering, wherein the systemic arterial circulation is modeled using equivalent electrical circuits known as "Windkessel Models". The parameter values of these models are obtained through system identification techniques. This work covers two methods: Method 1 utilizes the tools available in the MATLAB software toolbox, while Method 2 involves expanding the Fourier series to calculate vascular impedance. Consequently, 2-element (2WK) and 3-element (3WK) models were developed with an accuracy of up to 83%. These models accurately represent arterial behavior and can serve as potential tools to aid in identifying cardiovascular diseases in patients.