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The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications
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 …
has attracted remarkable interest from the mathematical community because of its intrinsic …
Geometric multiscale modeling of the cardiovascular system, between theory and practice
This review paper addresses the so called geometric multiscale approach for the numerical
simulation of blood flow problems, from its origin (that we can collocate in the second half …
simulation of blood flow problems, from its origin (that we can collocate in the second half …
An effective fluid-structure interaction formulation for vascular dynamics by generalized Robin conditions
In this work we focus on the modeling and numerical simulation of the fluid-structure
interaction mechanism in vascular dynamics. We first propose a simple membrane model to …
interaction mechanism in vascular dynamics. We first propose a simple membrane model to …
Patient‐specific CFD modelling in the thoracic aorta with PC‐MRI–based boundary conditions: A least‐square three‐element Windkessel approach
The increasing use of computational fluid dynamics for simulating blood flow in clinics
demands the identification of appropriate patient‐specific boundary conditions for the …
demands the identification of appropriate patient‐specific boundary conditions for the …
A variational data assimilation procedure for the incompressible Navier-Stokes equations in hemodynamics
We propose a data assimilation (DA) technique for including noisy measurements of the
velocity field into the simulation of the Navier-Stokes equations (NSE) driven by …
velocity field into the simulation of the Navier-Stokes equations (NSE) driven by …
Variational data assimilation for transient blood flow simulations: cerebral aneurysms as an illustrative example
Several cardiovascular diseases are caused from localised abnormal blood flow such as in
the case of stenosis or aneurysms. Prevailing theories propose that the development is …
the case of stenosis or aneurysms. Prevailing theories propose that the development is …
Augmented Lagrangian method for constraining the shape of velocity profiles at outlet boundaries for three-dimensional finite element simulations of blood flow
In three-dimensional blood flow simulations of the cardiovascular system, velocity and
pressure fields in the computational domain are highly affected by outlet boundary …
pressure fields in the computational domain are highly affected by outlet boundary …
Uncertainty quantification implementations in human hemodynamic flows
Background and objective Human hemodynamic modeling is usually influenced by
uncertainties occurring from a considerable unavailability of information linked to the …
uncertainties occurring from a considerable unavailability of information linked to the …
Analysis of inlet velocity profiles in numerical assessment of Fontan hemodynamics
Computational fluid dynamic (CFD) simulations are widely utilized to assess Fontan
hemodynamics that are related to long-term complications. No previous studies have …
hemodynamics that are related to long-term complications. No previous studies have …
Propagating uncertainties in large-scale hemodynamics models via network uncertainty quantification and reduced-order modeling
Numerical simulations of the cardiovascular system are affected by uncertainties arising
from a substantial lack of data related to the boundary conditions and the physical …
from a substantial lack of data related to the boundary conditions and the physical …