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 …
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 …
[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 …
An anatomically detailed arterial network model for one-dimensional computational hemodynamics
PJ Blanco, SM Watanabe, MARF Passos… - IEEE Transactions …, 2014 - ieeexplore.ieee.org
Simulation platforms are increasingly becoming complementary tools for cutting-edge
cardiovascular research. The interplay among structural properties of the arterial wall …
cardiovascular research. The interplay among structural properties of the arterial wall …
A methodological paradigm for patient‐specific multi‐scale CFD simulations: from clinical measurements to parameter estimates for individual analysis
S Pant, B Fabrèges, JF Gerbeau… - … journal for numerical …, 2014 - Wiley Online Library
SUMMARY A new framework for estimation of lumped (for instance, Windkessel) model
parameters from uncertain clinical measurements is presented. The ultimate aim is to …
parameters from uncertain clinical measurements is presented. The ultimate aim is to …
Model inversion via multi-fidelity Bayesian optimization: a new paradigm for parameter estimation in haemodynamics, and beyond
P Perdikaris, GE Karniadakis - Journal of The Royal …, 2016 - royalsocietypublishing.org
We present a computational framework for model inversion based on multi-fidelity
information fusion and Bayesian optimization. The proposed methodology targets the …
information fusion and Bayesian optimization. The proposed methodology targets the …
An effective fractal-tree closure model for simulating blood flow in large arterial networks
P Perdikaris, L Grinberg, GE Karniadakis - Annals of biomedical …, 2015 - Springer
The aim of the present work is to address the closure problem for hemodynamic simulations
by developing a flexible and effective model that accurately distributes flow in the …
by developing a flexible and effective model that accurately distributes flow in the …
An anatomically detailed arterial-venous network model. Cerebral and coronary circulation
In recent years, several works have addressed the problem of modeling blood flow
phenomena in veins, as a response to increasing interest in modeling pathological …
phenomena in veins, as a response to increasing interest in modeling pathological …
Uncertainty quantification implementations in human hemodynamic flows
Background and objective Human hemodynamic modeling is usually influenced by
uncertainties occurring from a considerable unavailability of information linked to the …
uncertainties occurring from a considerable unavailability of information linked to the …
Kinetic scheme for arterial and venous blood flow, and application to partial hepatectomy modeling
The article introduces a kinetic scheme to solve the 1D Euler equations of hemodynamics,
and presents comparisons of a closed-loop 1D–0D model with real measurements obtained …
and presents comparisons of a closed-loop 1D–0D model with real measurements obtained …