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 …

[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 …

A guide to uncertainty quantification and sensitivity analysis for cardiovascular applications

VG Eck, WP Donders, J Sturdy… - … journal for numerical …, 2016 - Wiley Online Library
As we shift from population‐based medicine towards a more precise patient‐specific regime
guided by predictions of verified and well‐established cardiovascular models, an urgent …

A database of virtual healthy subjects to assess the accuracy of foot-to-foot pulse wave velocities for estimation of aortic stiffness

M Willemet, P Chowienczyk… - American Journal of …, 2015 - journals.physiology.org
While central (carotid-femoral) foot-to-foot pulse wave velocity (PWV) is considered to be the
gold standard for the estimation of aortic arterial stiffness, peripheral foot-to-foot PWV …

A pulse wave propagation model to support decision-making in vascular access planning in the clinic

W Huberts, AS Bode, W Kroon, RN Planken… - Medical engineering & …, 2012 - Elsevier
The preferred vascular access for hemodialysis is an autologous arteriovenous fistula (AVF)
in the arm: a surgically created connection between an artery and vein. The surgeon selects …

Sensitivity analysis and uncertainty quantification of 1‐D models of pulmonary hemodynamics in mice under control and hypertensive conditions

MJ Colebank, M Umar Qureshi… - International journal for …, 2021 - Wiley Online Library
Pulmonary hypertension (PH), defined as an elevated mean blood pressure in the main
pulmonary artery (MPA) at rest, is associated with vascular remodeling of both large and …

Uncertainty quantification of inflow boundary condition and proximal arterial stiffness–coupled effect on pulse wave propagation in a vascular network

A Brault, L Dumas, D Lucor - International journal for numerical …, 2017 - Wiley Online Library
This work aims at quantifying the effect of inherent uncertainties from cardiac output on the
sensitivity of a human compliant arterial network response based on stochastic simulations …

Effects of arterial wall models and measurement uncertainties on cardiovascular model predictions

VG Eck, J Sturdy, LR Hellevik - Journal of biomechanics, 2017 - Elsevier
We developed a methodology to assess and compare the prediction quality of
cardiovascular models for patient-specific simulations calibrated with uncertainty-hampered …

Inverse problems in reduced order models of cardiovascular haemodynamics: aspects of data assimilation and heart rate variability

S Pant, C Corsini, C Baker, TY Hsia… - Journal of The …, 2017 - royalsocietypublishing.org
Inverse problems in cardiovascular modelling have become increasingly important to
assess each patient individually. These problems entail estimation of patient-specific model …

Validation of a 1D patient-specific model of the arterial hemodynamics in bypassed lower-limbs: simulations against in vivo measurements

M Willemet, V Lacroix, E Marchandise - Medical engineering & physics, 2013 - Elsevier
The validation of a coupled 1D–0D model of the lower-limb arterial hemodynamics is
presented. This study focuses on pathological subjects (6 patients, 72.7±11.1 years) …