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Comparison of stenosis models for usage in the estimation of pressure gradient across aortic coarctation
Authors:Shi  Yubing  Valverde  Israel  Lawford  Patricia V.  Grotenhuis  Heynric B.  Beerbaum  Philipp  Hose  D. Rodney
Affiliation:1.Institute of Integrative Medicine, Shaanxi University of Chinese Medicine, Xianyang, Shaanxi, People’s Republic of China
;2.Mathematics and Modelling in Medicine Group, Department of Infection Immunity and Cardiovascular Disease, Faculty of Medicine, Dentistry and Health, University of Sheffield, Sheffield, S10 2RX, UK
;3.Division of Imaging Sciences and Biomedical Engineering, King’s College London, London, UK
;4.Department of Paediatric and Adult Congenital Heart Disease, Guy’s and St Thomas’ NHS Foundation Trust, London, UK
;5.Cardiovascular Pathology Unit, Institute of Biomedicine of Seville, Hospital Virgen de Rocio/CSIC/University of Seville, Seville, Spain
;6.Insigneo Institute for in silico Medicine, Sheffield, UK
;7.Clinic for Paediatric Cardiology and Paediatric Intensive Care Medicine, University Children’s Hospital, Hannover Medical University, Hannover, Germany
;
Abstract:Non-invasive estimation of the pressure gradient in cardiovascular stenosis has much clinical importance in assisting the diagnosis and treatment of stenotic diseases. In this research, a systematic comparison is conducted to investigate the accuracy of a group of stenosis models against the MRI- and catheter-measured patient data under the aortic coarctation condition. Eight analytical stenosis models, including six from the literature and two proposed in this study, are investigated to examine their prediction accuracy against the clinical data. The two improved models proposed in this study consider comprehensively the Poiseuille loss, the Bernoulli loss in its exact form, and the entrance effect, of the blood flow. Comparison of the results shows that one of the proposed models demonstrates a cycle-averaged mean prediction error of −0.15 ± 3.03 mmHg, a peak-to-peak prediction error of −1.8 ± 6.89 mmHg, which is the best among the models studied.
Keywords:Pressure gradient   Aortic coarctation   Stenosis model   Poiseuille loss   Bernoulli loss   Entrance effect
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