CARDIOSIM | Continuous Flow Pump

Schematic diagram showing Hemopump (intraarterial axial flow blood pump) inflow cannula in the left ventricle.

Hemopump is a VAD based on a catheter mounted intraarterial axial flow blood pump that is placed through the femoral artery. Blood is withdrawn from the left ventricle (LV) through a transvalvular inflow cannula and pumped into the aorta.

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Electric analogue of Hemopump^®HP31 assist device

In the electric analogue the pressure P₁ (P₂) is the ventricular (systemic/pulmonary) pressure. The pump model is connected to the circulation model in such a way that it aspirates blood from inside the ventricular model (Q_Hin) and expels the blood into the systemic/pulmonary section (Q_Hout). In the model R is a resistance and L is an inertance. Q_n is a constant flow source: its value depends on the rotational speed of the pump. L represents the effects of the inertial properties of the blood in the pump. Changing the resistance value (and Q_n) it is possible to simulate seven different rotational speeds from 17000 to 26000 revolutions·min^-1.

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Electrical Analogue of the Berlin Heart INCOR^® Pump (LVAD).

The slide shows the Berlin Heart INCOR^® pump connected to the cardiocirculatory network as LVAD. The behavior of LVAD pump is modelled using the electrical analogue showed in the slide. P_LV is the left ventricular pressure and P_AS(i.e. AoP) is the aortic pressure. The input and output pump cannulae are modelled with the resistances R_vpi and R_vpo, the compliances C_vpiand C_vpoand the inertances L_vpiand L_vpo. Q_vpi and Q_vpo are the flows of the input and output cannulae. The LVAD takes blood from the left ventricle and ejects it into the aorta.

In: M. Capoccia, S. Marconi and C. De Lazzari (2018). Decision-making in advanced heart failure patients requiring LVAD insertion: Can preoperative simulation become the way forward? A case study. Journal of Biomedical Engineering and Informatics https://doi.org/10.5430/jbei.v4n2p8

In: CONCEPT, MATHEMATICAL MODELLING AND APPLICATIONS IN HEART FAILURE. M. Capoccia and C. De Lazzari Eds. (2019). Published by Nova Science Publishers, Inc. New York. ISBN 978-1-53614-771-1.

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Electrical Analogue of the Cardiovascular System with the Berlin Heart INCOR^® Pump (LVAD).

In the network Plv (LVP) is the left ventricular pressure and Pas (AoP) is the systemic arterial pressure. The behavior of both ventricles and atria are modelled as described in "Numerical Heart Model (2)" section.

In: CONCEPT, MATHEMATICAL MODELLING AND APPLICATIONS IN HEART FAILURE M. Capoccia and C. De Lazzari Eds. (2019). Published by Nova Science Publishers, Inc. New York. ISBN 978-1-53614-771-1.

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The equations reported in the slide modelling the behaviour of the centrifugal blood pump implemented in CARDIOSIM^© software simulator. k₁, k₂ and k₃ are constants that assume different values for different rotational speed of the pump. In this representation the pump works as RVAD (right ventricular assis devices). It tackes blood from the right ventricle (i.e. RVP is right ventricular pressure) and ejects it into pulmonary artery (i.e. PAP is the pulmonary arterial pressure). Q_pump is the pump flow.

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Centrifugal Blood Pump Connected as Right Ventricular Assist Device (RVAD).

The pump is connected to the right open circulatory network as described in "Circulatory Networks - Right Circulatory Open Network (RCON)" section. The pulmonary (PV) and tricuspid (TV) valves are modelled with resistances and diodes. Modelling valve with two resistances (Rlo/Rro and Rinv) it is possible to simulate the valve regurgitation.

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Heart Assist Devices

Continuous Flow Pump