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Numerical Modeling of Hemodynamics with Pulsatile Impeller Pump Support

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Abstract

There is significant interest in the development and application of variable speed impeller-pump type ventricular assist devices designed to generate pulsatile blood flow. However, no study has so far been carried out to investigate the systemic cardiovascular response to various aspects of pump motion. In this article, a numerical model is constructed for the simulation of the cardiovascular response in the heart failure condition under representative cases of pulsatile impeller pump support. The native cardiovascular model is based on a previously validated model, and the impeller pump is modeled by directly fitting the pressure–flow curves that describe the pump characteristics. The model developed is applied to study circulatory dynamics under different degrees of phase shift and pulsation ratio in the pump motion profile. The characteristic variables are discussed as criteria for the evaluation of system response for comparison of the pulsatile flows. Simulation results show that a constant pump speed is the most efficient work mode for the rotary pump, and with the application of either a phase shift of 75% and a pulsation ratio of 0.5, or a phase shift of 42% and a pulsation ratio of 0.55, it is possible to generate arterial pulse pressure with the maximal magnitude of about 28 mmHg. However, this is achieved at the cost of reduced cardiac output and pump efficiency.

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Abbreviations

C :

Compliance

CO:

Cardiac output

CQ:

Flow coefficient

E, e:

Elastance

EF:

Ejection fraction

K :

Coefficient

L :

Inertance

P :

Pressure

Q :

Flow rate

R :

Resistance

t :

Time

T :

Heart period

ϕ:

Phase difference

Δ:

Difference, variation

Ω, ω:

Rotating speed of the pump

0:

Initial value; offset value

ao:

Aortic valve

ed:

End diastolic

en:

Energy equivalent value

es:

End systolic

la:

Left atrium

lv:

Left ventricle

lvf:

Left ventricular failure

max:

Maximum value

mi:

Mitral valve

min:

Minimum value

p:

Pulse amplitude

par:

Pulmonary arterioles

pas:

Pulmonary artery sinus

pat:

Pulmonary artery

pcp:

Pulmonary capillary

po:

Pulmonary valve

pvn:

Pulmonary vein

ra:

Right atrium

rv:

Right ventricle

sar:

Systemic arterioles

sas:

Systemic aortic sinus

sat:

Systemic artery

scp:

Systemic capillary

svn:

Systemic vein

ti:

Tricuspid valve

vad:

Ventricular assist device

vpi:

Inflow conduit for the VAD

vpo:

Outflow conduit for the VAD

vvi:

Inlet port of the VAD

vvo:

Outlet port of the VAD

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Authors and Affiliations

  1. Medical Physics Group, Department of Cardiovascular Science, Faculty of Medicine, Dentistry and Health, University of Sheffield, Sheffield, S10 2RX, UK

    Yubing Shi, Patricia V. Lawford & D. Rodney Hose

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  1. Yubing Shi
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  2. Patricia V. Lawford
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  3. D. Rodney Hose
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Correspondence to D. Rodney Hose.

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Associate Editor Nathalie Virag oversaw the review of this article.

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Shi, Y., Lawford, P.V. & Hose, D.R. Numerical Modeling of Hemodynamics with Pulsatile Impeller Pump Support. Ann Biomed Eng 38, 2621–2634 (2010). https://doi.org/10.1007/s10439-010-0001-y

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  • DOI: https://doi.org/10.1007/s10439-010-0001-y

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