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 …
Simulating the spread of COVID-19 via a spatially-resolved susceptible–exposed–infected–recovered–deceased (SEIRD) model with heterogeneous diffusion
We present an early version of a Susceptible–Exposed–Infected–Recovered–Deceased
(SEIRD) mathematical model based on partial differential equations coupled with a …
(SEIRD) mathematical model based on partial differential equations coupled with a …
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 …
A mathematical model that integrates cardiac electrophysiology, mechanics, and fluid dynamics: Application to the human left heart
We propose a mathematical and numerical model for the simulation of the heart function that
couples cardiac electrophysiology, active and passive mechanics and hemodynamics, and …
couples cardiac electrophysiology, active and passive mechanics and hemodynamics, and …
Integrated heart—coupling multiscale and multiphysics models for the simulation of the cardiac function
Mathematical modeling of the human heart and its function can expand our understanding of
various cardiac diseases, which remain the most common cause of death in the developed …
various cardiac diseases, which remain the most common cause of death in the developed …
[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 …
[HTML][HTML] 3D–0D closed-loop model for the simulation of cardiac biventricular electromechanics
Two crucial factors for accurate numerical simulations of cardiac electromechanics, which
are also essential to reproduce the synchronous activity of the heart, are:(i) accounting for …
are also essential to reproduce the synchronous activity of the heart, are:(i) accounting for …
Hybrid analysis and modeling, eclecticism, and multifidelity computing toward digital twin revolution
Most modeling approaches lie in either of the two categories: physics‐based or data‐driven.
Recently, a third approach which is a combination of these deterministic and statistical …
Recently, a third approach which is a combination of these deterministic and statistical …
lifex-cfd: An open-source computational fluid dynamics solver for cardiovascular applications
Computational fluid dynamics (CFD) is an important tool for the simulation of the
cardiovascular function and dysfunction. Due to the complexity of the anatomy, the …
cardiovascular function and dysfunction. Due to the complexity of the anatomy, the …
Automated generation of 0D and 1D reduced‐order models of patient‐specific blood flow
Abstract Three‐dimensional (3D) cardiovascular fluid dynamics simulations typically require
hours to days of computing time on a high‐performance computing cluster. One …
hours to days of computing time on a high‐performance computing cluster. One …