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Mathematics
Volume 8
Issue 8
10.3390/math8081331
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Open AccessArticle

Analysis of Operating Modes for Left Ventricle Assist Devices via Integrated Models of Blood Circulation

by
Sergey Simakov
1,2,*,
Alexander Timofeev
3,
Timur Gamilov
1,2,
Philip Kopylov
2,
Dmitry Telyshev
2,4 and
Yuri Vassilevski
1,2,5
1
Moscow Institute of Physics and Technology, 141701 Dolgoprudny, Russia
2
Institute of Personalized Medicine, Sechenov University, 119991 Moscow, Russia
3
Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, 119991 Moscow, Russia
4
Institute of Biomedical Systems, National Research University of Electronic Technology, 124498 Moscow, Russia
5
Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, 119991 Moscow, Russia
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(8), 1331; https://doi.org/10.3390/math8081331
Received: 1 July 2020 / Revised: 2 August 2020 / Accepted: 3 August 2020 / Published: 10 August 2020
(This article belongs to the Special Issue Mathematical Modelling in Biomedicine)
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Abstract

Left ventricular assist devices provide circulatory support to patients with end-stage heart failure. The standard operating conditions of the pump imply limitations on the rotation speed of the rotor. In this work we validate a model for three pumps (Sputnik 1, Sputnik 2, Sputnik D) using a mock circulation facility and known data for the pump HeartMate II. We combine this model with a 1D model of haemodynamics in the aorta and a lumped model of the left heart with valves dynamics. The model without pump is validated with known data in normal conditions. Simulations of left ventricular dilated cardiomyopathy show that none of the pumps are capable of reproducing the normal stroke volume in their operating ranges while complying with all criteria of physiologically feasible operation. We also observe that the paediatric pump Sputnik D can operate in the conditions of adult circulation with the same efficiency as the adult LVADs. View Full-Text
Keywords: rotary blood pump; 1D haemodynamics; lumped heart model rotary blood pump; 1D haemodynamics; lumped heart model
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MDPI and ACS Style

Simakov, S.; Timofeev, A.; Gamilov, T.; Kopylov, P.; Telyshev, D.; Vassilevski, Y. Analysis of Operating Modes for Left Ventricle Assist Devices via Integrated Models of Blood Circulation. Mathematics 2020, 8, 1331. https://doi.org/10.3390/math8081331

AMA Style

Simakov S, Timofeev A, Gamilov T, Kopylov P, Telyshev D, Vassilevski Y. Analysis of Operating Modes for Left Ventricle Assist Devices via Integrated Models of Blood Circulation. Mathematics. 2020; 8(8):1331. https://doi.org/10.3390/math8081331

Chicago/Turabian Style

Simakov, Sergey; Timofeev, Alexander; Gamilov, Timur; Kopylov, Philip; Telyshev, Dmitry; Vassilevski, Yuri. 2020. "Analysis of Operating Modes for Left Ventricle Assist Devices via Integrated Models of Blood Circulation" Mathematics 8, no. 8: 1331. https://doi.org/10.3390/math8081331

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