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 …
[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 …
Data integration for the numerical simulation of cardiac electrophysiology
The increasing availability of extensive and accurate clinical data is rapidly shaping
cardiovascular care by improving the understanding of physiological and pathological …
cardiovascular care by improving the understanding of physiological and pathological …
[图书][B] Advanced reduced order methods and applications in computational fluid dynamics
Reduced order modeling is an important and fast-growing research field in computational
science and engineering, motivated by several reasons, of which we mention just a few …
science and engineering, motivated by several reasons, of which we mention just a few …
Numerical approximation of parametrized problems in cardiac electrophysiology by a local reduced basis method
The efficient solution of coupled PDEs/ODEs problems arising in cardiac electrophysiology
is of key importance whenever interested to study the electrical behavior of the tissue for …
is of key importance whenever interested to study the electrical behavior of the tissue for …
A monolithic and a partitioned, reduced basis method for fluid–structure interaction problems
The aim of this work is to present an overview about the combination of the Reduced Basis
Method (RBM) with two different approaches for Fluid–Structure Interaction (FSI) problems …
Method (RBM) with two different approaches for Fluid–Structure Interaction (FSI) problems …
Enabling forward uncertainty quantification and sensitivity analysis in cardiac electrophysiology by reduced order modeling and machine learning
We present a new, computationally efficient framework to perform forward uncertainty
quantification (UQ) in cardiac electrophysiology. We consider the monodomain model to …
quantification (UQ) in cardiac electrophysiology. We consider the monodomain model to …
Overcoming slowly decaying Kolmogorov n-width by transport maps: application to model order reduction of fluid dynamics and fluid--structure interaction problems
In this work we focus on reduced order modelling for problems for which the resulting
reduced basis spaces show a slow decay of the Kolmogorov $ n $-width, or, in practical …
reduced basis spaces show a slow decay of the Kolmogorov $ n $-width, or, in practical …
Evaluation of a rapid anisotropic model for ECG simulation
State-of-the-art cardiac electrophysiology models that are able to deliver physiologically
motivated activation maps and electrocardiograms (ECGs) can only be solved on high …
motivated activation maps and electrocardiograms (ECGs) can only be solved on high …
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 …