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 …
[图书][B] Mathematical modelling of the human cardiovascular system: data, numerical approximation, clinical applications
Mathematical and numerical modelling of the human cardiovascular system has attracted
remarkable research interest due to its intrinsic mathematical difficulty and the increasing …
remarkable research interest due to its intrinsic mathematical difficulty and the increasing …
Inverse problems in blood flow modeling: A review
D Nolte, C Bertoglio - International journal for numerical …, 2022 - Wiley Online Library
Mathematical and computational modeling of the cardiovascular system is increasingly
providing non‐invasive alternatives to traditional invasive clinical procedures. Moreover, it …
providing non‐invasive alternatives to traditional invasive clinical procedures. Moreover, it …
Experimental validation of a variational data assimilation procedure for estimating space-dependent cardiac conductivities
Customization of mathematical and numerical models to patient-specific settings is a critical
step of the translation process bringing scientific computing to the clinical activity. In …
step of the translation process bringing scientific computing to the clinical activity. In …
Efficient estimation of cardiac conductivities: A proper generalized decomposition approach
While the potential groundbreaking role of mathematical modeling in electrophysiology has
been demonstrated for therapies like cardiac resynchronization or catheter ablation, its …
been demonstrated for therapies like cardiac resynchronization or catheter ablation, its …
The LifeV library: engineering mathematics beyond the proof of concept
LifeV is a library for the finite element (FE) solution of partial differential equations in one,
two, and three dimensions. It is written in C++ and designed to run on diverse parallel …
two, and three dimensions. It is written in C++ and designed to run on diverse parallel …
A model reduction approach for the variational estimation of vascular compliance by solving an inverse fluid–structure interaction problem
L Bertagna, A Veneziani - Inverse Problems, 2014 - iopscience.iop.org
Scientific computing has progressively become an important tool for research in
cardiovascular diseases. The role of quantitative analyses based on numerical simulations …
cardiovascular diseases. The role of quantitative analyses based on numerical simulations …
Estimation of cardiac conductivities in ventricular tissue by a variational approach
H Yang, A Veneziani - Inverse Problems, 2015 - iopscience.iop.org
The bidomain model is the current standard model to simulate cardiac potential propagation.
The numerical solution of this system of partial differential equations strongly depends on …
The numerical solution of this system of partial differential equations strongly depends on …
Data assimilation in cardiovascular fluid–structure interaction problems: an introduction
Numerical methods for incompressible fluid dynamics have recently received a strong
impulse from the applications to the cardiovascular system. In particular, fluid–structure …
impulse from the applications to the cardiovascular system. In particular, fluid–structure …