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      Mathematical analysis of the effects of valvular regurgitation on the pumping efficacy of continuous and pulsatile left ventricular assist devices

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          Highlights

          • We numerically investigated the physiological relationship between the severity of regurgitation and the effect of a left ventricular assist device (LVAD) on cardiovascular system responses.

          • Under conditions of mitral regurgitation, the effects of both pulsatile and continuous LVAD treatment on ventricular unloading were significant.

          • Under conditions of aortic regurgitation (AR), the effects of the LVADs on ventricular unloading were not significant. The effects of LVAD treatment decreased according to the severity of AR.

          Abstract

          Background

          A left ventricular assist device (LVAD) is normally contraindicated in significant aortic regurgitation (AR) and requires intraoperative valve repair or exclusion. Nevertheless, AR can coexist with an LVAD, so a valid question when asked might still be of clinical significance. The purpose of this study is to analyze the effects of valve regurgitation on the pumping efficacy of continuous and pulsatile LVADs with a computational method.

          Methods

          A cardiovascular model was developed based on the Windkessel model, which reflects the hemodynamic flow resistance and the blood wall elasticity. Using the Windkessel model, important cardiovascular components, such as the right atrium, right ventricle, pulmonary artery, pulmonary vein, left atrium (LA), left ventricle (LV), aorta, and branching blood vessels, were expressed.

          Results

          In the case of AR, continuous and pulsatile LVADs improved cardiac output and reduced mechanical load slightly. In the case of mitral regurgitation, the LVADs improved cardiac output (cardiac outputs were about 5 L/min regardless of the severity of regurgitation) and reduced afterload significantly.

          Conclusion

          AR reduced both continuous and pulsatile LVAD function significantly while mitral regurgitation did not affect their pumping efficacy.

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          Most cited references21

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          Instantaneous pressure-volume relationships and their ratio in the excised, supported canine left ventricle.

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            Left ventricular response to mitral regurgitation: implications for management.

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              The development of aortic insufficiency in left ventricular assist device-supported patients.

              Aortic insufficiency (AI) following left ventricular assist device (LVAD) placement can affect device performance. The aim of this study was to examine AI development following LVAD implantation. Echocardiograms (n=315) from 78 subjects undergoing HeartMate-XVE (n=25 [32%]) or HeartMate-II (n=53 [68%]) implantations from 2004 to 2008 were reviewed. Studies were obtained preoperatively and at 1, 3, 6, 12, 18, and 24 months after surgery. AI was graded on an interval scale (0=none, 0.5=trivial, 1=mild, 1.5=mild-moderate, 2=moderate, 2.5=moderate-severe, 3=severe), and the change in AI at follow-up was analyzed with significance tests. Kaplan-Meier estimates for freedom from moderate or worse AI at follow-up were generated. Mixed-model linear regression was used to identify correlates of AI progression during LVAD support. The median (25th, 75th percentile) duration of LVAD support was 239 (112, 455) days, and preoperative AI grade was 0.0 (0.0, 0.0). At 6 months, 89±4% of subjects (n=49 at risk) were free from moderate or worse AI, but this was reduced to 74±7% (n=29 at risk) and 49±13% (n=13 at risk) by 12 and 18 months, respectively. Correlates (slope±SE) of AI progression included female sex (0.002±0.001; P=0.01), smaller body surface area (-0.003±0.001 per m(2); P=0.0017), and HeartMate-II model type (0.002±0.001; P=0.039). Correlates (β±SE) of progressive AI on postoperative echocardiogram included increasing aortic sinus diameter (0.04±0.01 per mm; P=0.001), an aortic valve that remained closed (0.42±0.06; P<0.001) or only intermittently opened (0.34±0.09; P<0.001), and lower left ventricular diastolic (-0.002±0.0004 per cm(3); P<0.001) and systolic (-0.002±0.0004 per cm(3); P<0.001) volumes. AI progresses over time in LVAD-supported patients. As we move toward an era of long-term cardiac support, more studies are needed to determine the clinical significance of these findings.
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                Author and article information

                Contributors
                Journal
                Integr Med Res
                Integr Med Res
                Integrative Medicine Research
                Elsevier
                2213-4220
                2213-4239
                08 January 2016
                March 2016
                08 January 2016
                : 5
                : 1
                : 22-29
                Affiliations
                [a ]Department of Medical IT Convergence Engineering, Kumoh National Institute of Technology, Gumi, Korea
                [b ]Department of Radiological Science, Far East University, Eumseong, Korea
                [c ]Department of Mechanical and Biomedical Engineering, Kangwon National University, Chuncheon, Korea
                Author notes
                [* ] Corresponding author. Department of Medical IT Convergence Engineering, Kumoh National Institute of Technology, Yangho-dong, Gumi, Gyeongbuk 730-701, Korea. kmlim@ 123456kumoh.ac.kr
                [1]

                Yoo Seok Kim and Eun-Hye Kim contributed equally to this work.

                Article
                S2213-4220(16)00002-0
                10.1016/j.imr.2016.01.001
                5381421
                7cf60d66-e8ff-4755-b280-6d102fcf1f1a
                © 2016 Korea Institute of Oriental Medicine. Published by Elsevier.

                This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

                History
                : 2 December 2015
                : 31 December 2015
                : 1 January 2016
                Categories
                Original Article

                aortic regurgitation,left ventricular assist device,mitral regurgitation,regurgitation severity,windkessel model

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