… an assessment of intra-myocardial deformations over the heart … contained in tagged-MRI in
a data assimilation framework, in … estimation for a complete biomechanical model of the heart. …

… slices of the patient heart using DTMRI. Despite the good … the heart and its functioning.
We give an overview of different … Moreover, in PETSc and Trilinos many advanced numerical …

… The cardiovascular system, consisting of the heart connected with … the WSSs can only be
estimated with acceptable accuracy in … Recent advances in MRI have revealed great diagnostic …

… estimating parameters in cardiovascular models, ie, a fully zero-dimensional model of the
right heart … Some other studies on merging CFD and 4D flow MRI data using data assimilation …

… to improve both diagnosis and risk assessment of cardiovascular diseases. However, like …
, for the heart valves [TBE*16]. Data assimilation can be used to estimate, interpolate or …

… to provide us with some information about the heart’s state. While useful, … data assimilation
technique that allows us to reconstruct estimates of our state vector ξ j , which is an estimate …

… Modelling complex systems, like the human heart, has made great progress over the last …
our framework to learn from data of different complexity, while simultaneously estimating …

… a survey of mathematical data assimilation approaches used to solve … cardiology practice:
pressure gradient estimation from velocity measurements. To justify the use of more advanced …

… both data assimilation experiments together with the PC-MRI … Due to recent advances in
computational resources as well as … Using a simplified cardiac forecast model, a forecast step in …

… the model to infer load-independent measures of heart function … and permits retrospective
assessment of the data at any location … the advanced data obtained with 4D Flow MRI using …