Abstract:

                             This work reviews the main aspects of cardiovascular system dynamics with an emphasis on modeling hemodynamic characteristics by the use of a lumped parameter approach. This model describes relationships between flow rate and pressure using electric circuit models based on analogy between blood flow and pressure of the cardiovascular system and the current and voltage in an electrical circuit system.

A mathematical model of pumping heart coupled to lumped compartments of blood circulation is presented in this paper. This lumped pulsatile cardiovascular model consists of eight compartments of the body that include pumping heart, the systemic circulation and the pulmonary circulation. The governing equations for the pressure and flow in each compartment are derived from the following three equations: Ohm's law, conservation of volume and the definition of compliances. The four chambers, two arteries and two veins are connected by the time varied activated functions for pumping heart.

This paper is an attempt to explain a simple cardiovascular circulation model, in order to investigate pressure change in each compartment during seven phases over one cardiac cycle.

Keywords: Cardiovascular system, lumped parameters, Electrical analogy, blood vessels, cardiac phases