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 …
[LIVRE][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 …
[HTML][HTML] A machine learning method for real-time numerical simulations of cardiac electromechanics
We propose a machine learning-based method to build a system of differential equations
that approximates the dynamics of 3D electromechanical models for the human heart …
that approximates the dynamics of 3D electromechanical models for the human heart …
Data integration for the numerical simulation of cardiac electrophysiology
The increasing availability of extensive and accurate clinical data is rapidly sha**
cardiovascular care by improving the understanding of physiological and pathological …
cardiovascular care by improving the understanding of physiological and pathological …
Segregated algorithms for the numerical simulation of cardiac electromechanics in the left human ventricle
A DeSimone, B Perthame, A Quarteroni… - The Mathematics of …, 2020 - Springer
We propose and numerically assess three segregated (partitioned) algorithms for the
numerical solution of the coupled electromechanics problem for the left human ventricle. We …
numerical solution of the coupled electromechanics problem for the left human ventricle. We …
Reduced order modeling for cardiac electrophysiology and mechanics: New methodologies, challenges and perspectives
Reduced-order modeling techniques enable a remarkable speed up in the solution of the
parametrized electromechanical model for heart dynamics. Being able to rapidly …
parametrized electromechanical model for heart dynamics. Being able to rapidly …
Statistical closure modeling for reduced-order models of stationary systems by the ROMES method
This work proposes a technique for constructing a statistical closure model for reduced-order
models (ROMs) applied to stationary systems modeled as parametrized systems of …
models (ROMs) applied to stationary systems modeled as parametrized systems of …
Multi space reduced basis preconditioners for parametrized partial differential equations
N Dal Santo - 2018 - infoscience.epfl.ch
The multiquery solution of parametric partial differential equations (PDEs), that is, PDEs
depending on a vector of parameters, is computationally challenging and appears in several …
depending on a vector of parameters, is computationally challenging and appears in several …
Gaussian process emulators to accelerate sensitivity analysis and Bayesian parameter estimation: application to cardiovascular modeling
A Pirozzi - 2021 - politesi.polimi.it
Numerical models have become popular in many engineering fields, even if they present
several limitations in terms of computational cost, making their usage often complicated in …
several limitations in terms of computational cost, making their usage often complicated in …
Forward and reverse transformations of a model of functional units of a biological system trained by a global model of the systems
Abstract Systems, computer-implemented methods, and computer program products that
can facilitate a transformation of a model of an entity by a model of a plurality of entities are …
can facilitate a transformation of a model of an entity by a model of a plurality of entities are …