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 …
[HTML][HTML] Review of zero-D and 1-D models of blood flow in the cardiovascular system
Y Shi, P Lawford, R Hose - Biomedical engineering online, 2011 - Springer
Background Zero-dimensional (lumped parameter) and one dimensional models, based on
simplified representations of the components of the cardiovascular system, can contribute …
simplified representations of the components of the cardiovascular system, can contribute …
Machine learning in cardiovascular flows modeling: Predicting arterial blood pressure from non-invasive 4D flow MRI data using physics-informed neural networks
Advances in computational science offer a principled pipeline for predictive modeling of
cardiovascular flows and aspire to provide a valuable tool for monitoring, diagnostics and …
cardiovascular flows and aspire to provide a valuable tool for monitoring, diagnostics and …
[图书][B] Data assimilation: methods, algorithms, and applications
This book places data assimilation (DA) into the broader context of inverse problems and the
theory, methods, and algorithms that are used for their solution. It strives to provide a …
theory, methods, and algorithms that are used for their solution. It strives to provide a …
A benchmark study of numerical schemes for one‐dimensional arterial blood flow modelling
E Boileau, P Nithiarasu, PJ Blanco… - … journal for numerical …, 2015 - Wiley Online Library
Hæmodynamical simulations using one‐dimensional (1D) computational models exhibit
many of the features of the systemic circulation under normal and diseased conditions …
many of the features of the systemic circulation under normal and diseased conditions …
Methods of blood flow modelling
N Bessonov, A Sequeira, S Simakov… - … modelling of natural …, 2016 - mmnp-journal.org
This review is devoted to recent developments in blood flow modelling. It begins with the
discussion of blood rheology and its non-Newtonian properties. After that we will present …
discussion of blood rheology and its non-Newtonian properties. After that we will present …
[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 …
[图书][B] Multiphysics phase-field fracture: modeling, adaptive discretizations, and solvers
T Wick - 2020 - books.google.com
This monograph is centered on mathematical modeling, innovative numerical algorithms
and adaptive concepts to deal with fracture phenomena in multiphysics. State-of-the-art …
and adaptive concepts to deal with fracture phenomena in multiphysics. State-of-the-art …
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 …
A global multiscale mathematical model for the human circulation with emphasis on the venous system
We present a global, closed‐loop, multiscale mathematical model for the human circulation
including the arterial system, the venous system, the heart, the pulmonary circulation and the …
including the arterial system, the venous system, the heart, the pulmonary circulation and the …