The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications

A Quarteroni, A Manzoni, C Vergara - Acta Numerica, 2017 - cambridge.org
Mathematical and numerical modelling of the cardiovascular system is a research topic that
has attracted remarkable interest from the mathematical community because of its intrinsic …

Coupling multi-physics models to cardiac mechanics

DA Nordsletten, SA Niederer, MP Nash… - Progress in biophysics …, 2011 - Elsevier
We outline and review the mathematical framework for representing mechanical deformation
and contraction of the cardiac ventricles, and how this behaviour integrates with other …

[图书][B] Mathematical modelling of the human cardiovascular system: data, numerical approximation, clinical applications

A Quarteroni, A Manzoni, C Vergara - 2019 - books.google.com
Mathematical and numerical modelling of the human cardiovascular system has attracted
remarkable research interest due to its intrinsic mathematical difficulty and the increasing …

Multiphysics simulation of left ventricular filling dynamics using fluid-structure interaction finite element method

H Watanabe, S Sugiura, H Kafuku, T Hisada - Biophysical journal, 2004 - cell.com
To relate the subcellular molecular events to organ level physiology in heart, we have
developed a three-dimensional finite-element-based simulation program incorporating the …

MRI-based CFD analysis of flow in a human left ventricle: methodology and application to a healthy heart

T Schenkel, M Malve, M Reik, M Markl, B Jung… - Annals of biomedical …, 2009 - Springer
A three-dimensional computational fluid dynamics (CFD) method has been developed to
simulate the flow in a pumping left ventricle. The proposed method uses magnetic …

Fluid-structure coupled CFD simulation of the left ventricular flow during filling phase

Y Cheng, H Oertel, T Schenkel - Annals of biomedical engineering, 2005 - Springer
The fluid-structure coupled simulation of the heart, though at its developing stage, has
shown great prospect in heart function investigations and clinical applications. The purpose …

Personalized intervention cardiology with transcatheter aortic valve replacement made possible with a non-invasive monitoring and diagnostic framework

S Khodaei, A Henstock, R Sadeghi, S Sellers… - Scientific reports, 2021 - nature.com
One of the most common acute and chronic cardiovascular disease conditions is aortic
stenosis, a disease in which the aortic valve is damaged and can no longer function …

[HTML][HTML] The sinus of Valsalva relieves abnormal stress on aortic valve leaflets by facilitating smooth closure

S Katayama, N Umetani, S Sugiura, T Hisada - The Journal of thoracic and …, 2008 - Elsevier
OBJECTIVE: Recently, various modifications have been made to aortic root replacement
procedures to include the pseudosinus in the synthetic graft, but its effect on valve function …

Fluid–solid coupling for the investigation of diastolic and systolic human left ventricular function

D Nordsletten, M McCormick, PJ Kilner… - International Journal …, 2011 - Wiley Online Library
Understanding the underlying feedback mechanisms of fluid/solid coupling and the role it
plays in heart function is crucial for characterizing normal heart function and its behavior in …

Single cell mechanics of rat cardiomyocytes under isometric, unloaded, and physiologically loaded conditions

S Nishimura, S Yasuda, M Katoh… - American Journal …, 2004 - journals.physiology.org
One of the most salient characteristics of the heart is its ability to adjust work output to
external load. To examine whether a single cardiomyocyte preparation retains this property …