The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications

A Quarteroni, A Manzoni, C Vergara - Acta Numerica, 2017 - cambridge.org
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 …

Multiphysics and multiscale modelling, data–model fusion and integration of organ physiology in the clinic: ventricular cardiac mechanics

R Chabiniok, VY Wang… - Interface …, 2016 - royalsocietypublishing.org
With heart and cardiovascular diseases continually challenging healthcare systems
worldwide, translating basic research on cardiac (patho) physiology into clinical care is …

[图书][B] Data assimilation: methods, algorithms, and applications

M Asch, M Bocquet, M Nodet - 2016 - SIAM
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 …

[图书][B] Mathematical modelling of the human cardiovascular system: data, numerical approximation, clinical applications

A Quarteroni, A Manzoni, C Vergara - 2019 - books.google.com
Mathematical and numerical modelling of the human cardiovascular system has attracted
remarkable research interest due to its intrinsic mathematical difficulty and the increasing …

Creation and application of virtual patient cohorts of heart models

SA Niederer, Y Aboelkassem… - … of the Royal …, 2020 - royalsocietypublishing.org
Patient-specific cardiac models are now being used to guide therapies. The increased use
of patient-specific cardiac simulations in clinical care will give rise to the development of …

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 …

Integrating multi-fidelity blood flow data with reduced-order data assimilation

M Habibi, RM D'Souza, STM Dawson… - Computers in Biology and …, 2021 - Elsevier
High-fidelity patient-specific modeling of cardiovascular flows and hemodynamics is
challenging. Direct blood flow measurement inside the body with in-vivo measurement …

Fast uncertainty quantification of activation sequences in patient‐specific cardiac electrophysiology meeting clinical time constraints

A Quaglino, S Pezzuto… - … journal for numerical …, 2018 - Wiley Online Library
We present a fast, patient‐specific methodology for uncertainty quantification in
electrophysiology, aimed at meeting the time constraints of clinical practitioners. We focus …

Efficient estimation of cardiac conductivities via POD-DEIM model order reduction

H Yang, A Veneziani - Applied Numerical Mathematics, 2017 - Elsevier
Clinical oriented applications of computational electrocardiology require efficient and
reliable identification of patient-specific parameters of mathematical models based on …

[HTML][HTML] A work flow to build and validate patient specific left atrium electrophysiology models from catheter measurements

C Corrado, S Williams, R Karim, G Plank, M O'Neill… - Medical image …, 2018 - Elsevier
Biophysical models of the atrium provide a physically constrained framework for describing
the current state of an atrium and allow predictions of how that atrium will respond to …