Windkessel Model Analysis in MATLAB

Windkessel Model Analysis in MATLAB

Stať ve sborníku v databázi WoS či Scopus

This paper will briefly describe three Windkessel models and demonstrate the use of the Matlab® mathematical modelling computer program in solving Windkessel model differential equations, estimating values of Windkessel model parameters from laboratory data, comparing differential equation models. Windkessel models are frequently used to describe the load faced by the heart in pumping blood through the pulmonary or systemic arterial system, and the relation between blood pressure and blood flow in the aorta or the pulmonary artery. Characterizing the pulmonary or systemic arterial load on the heart in terms of the parameters that arise in Windkessel models, such as arterial compliance and peripheral resistance, is important, for example, in quantifying the effects of vasodilator or vasoconstrictor drugs. Also, a mathematical model of the relationship between blood pressure and blood flow in the aorta and pulmonary artery is useful, for example, in the development and operation of mechanical heart and heart-lung machines. If blood is not supplied by these devices within acceptable ranges of pressure and flow, the patient will not survive.

This paper will briefly describe three Windkessel models and demonstrate the use of the Matlab® mathematical modelling computer program in solving Windkessel model differential equations, estimating values of Windkessel model parameters from laboratory data, comparing differential equation models. Windkessel models are frequently used to describe the load faced by the heart in pumping blood through the pulmonary or systemic arterial system, and the relation between blood pressure and blood flow in the aorta or the pulmonary artery. Characterizing the pulmonary or systemic arterial load on the heart in terms of the parameters that arise in Windkessel models, such as arterial compliance and peripheral resistance, is important, for example, in quantifying the effects of vasodilator or vasoconstrictor drugs. Also, a mathematical model of the relationship between blood pressure and blood flow in the aorta and pulmonary artery is useful, for example, in the development and operation of mechanical heart and heart-lung machines. If blood is not supplied by these devices within acceptable ranges of pressure and flow, the patient will not survive.

windkessel model, cardiovascular system, arterial pressure

windkessel model, cardiovascular system, arterial pressure

HLAVÁČ, M., HOLČÍK, J.

01.01.2004

VUT v Brně

Brno

80-214-2635-7

Proceedings of 10th conference STUDENT EEICT 2004 Volume 2

50

5