Lumped Parameter Model of the Systemic Circulation and a Rotary Blood Pump Interaction

Heart failure is the most common worldwide mortality reason. Although heart transplantation is a patient’s treatment gold standard, the lack of donor hearts problem remains unsolved. Using rotary blood pumps is the most effective method for patients waiting for transplantation. In this work, we introduce a lumped parameter model developed to simulate the interaction between the systemic circulation and the rotary blood pump Sputnik. The interaction was studied at a pump rotor speed of 5000 – 8500 rpm. This simulation demonstrated that the pump changed mean pressure in the systemic vessels increased to normal (from 75 mmHg to 97 mmHg), and the blood flow increased to normal (from 3.9 l/min to 5.2 l/min). The simulation results confirm the developed mathematical model can be used to model various stages of heart failure and the pump support level.