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On the computation of hemodynamic forces in the heart chambers
Affiliation:1. Department of Engineering and Architecture, University of Trieste, Italy;2. Department of Internal Medicine/Cardiology, German Heart Center Berlin, Berlin, Germany;3. DZHK (German Centre for Cardiovascular Research), Partner Site Berlin, Germany;4. Department of Cardiology, Medical Academy, Lithuanian University of Health Sciences, Kaunas, Lithuania;5. Department of Internal Medicine/Cardiology, Charité Campus Virchow Clinic, Berlin, Germany;6. Institute of Cardiology and Center of Excellence on Aging, “G. D''Annunzio” University of Chieti, Italy;1. Department of Cardiology, West China Hospital, Sichuan University, Chengdu, Sichuan 610041, China;2. Department of Radiology, West China Hospital, Sichuan University, Chengdu, 610041, Sichuan Province, China;3. Department of Geriatrics, West China Hospital, Sichuan University, Chengdu, 610041, Sichuan Province, China;4. Center of Rare Diseases, West China Hospital, Sichuan University, Chengdu, 610041, Sichuan Province, China;5. Department of Medicine (Cardiovascular Division), University of Pennsylvania, Philadelphia, PA, USA;1. CMCS-MATHICSE, École Polytechnique Fédérale de Lausanne, Station 8, CH-1015 Lausanne, Switzerland;2. DICATAM, Università degli Studi di Brescia, via Branze 38, Brescia I-25123, Italy
Abstract:The hemodynamic forces exchanged between the blood flowing in the heart and the myocardium are recently receiving attention as an important marker of cardiac function. The increasing interest was associated to the advent of advanced imaging methods able to measure the blood velocity field inside the cardiac chambers, from which flow forces are obtained as volume integral of the fluid momentum. These technologies, however, require costly equipment and time-consuming procedures. A different formulation of the balance of momentum, introduced here, permits the computation of hemodynamic forces from geometric and velocity data at the boundary of the blood volume, without the need of measuring the blood velocity inside. This method is valid in generic geometry and is verified in a relatively complex geometry by comparison with results from direct numerical simulation. This approach may permit to integrate the description of cardiac function based on volumetric changes and myocardial deformation with those of hemodynamic forces.
Keywords:Cardiac fluid dynamics  Hemodynamic forces  Intraventricular pressure gradient  Cardiovascular imaging
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