Efficient approximation of cardiac mechanics through reduced‐order modeling with deep learning‐based operator approximation
… In order to translate cardiac computational models into clinical applications, it is crucial to
assess and quantify how input uncertainties impact on model predictions, and thus on selected …
assess and quantify how input uncertainties impact on model predictions, and thus on selected …
[HTML][HTML] Mathematical modeling of prostate cancer and clinical application
… limits the application of the model to the early stage, where the cancer can be approximated
with a … Numerical simulations for both models show the potential successes of IAS, which …
with a … Numerical simulations for both models show the potential successes of IAS, which …
Cerebrospinal fluid dynamics coupled to the global circulation in holistic setting: mathematical models, numerical methods and applications
EF Toro, M Celant, Q Zhang… - … for Numerical …, 2022 - Wiley Online Library
… numerical solution methodology employed to approximate … Then we present two medical
applications: (i) transverse sinus … Mathematical models of CSF dynamics with clinical relevance …
applications: (i) transverse sinus … Mathematical models of CSF dynamics with clinical relevance …
A cardiac electromechanics model coupled with a lumped parameters model for closed-loop blood circulation. Part II: numerical approximation
… To prove the biophysical accuracy of our computational model, we also address different
scenarios of clinical interest in our numerical simulations by varying preload, afterload and …
scenarios of clinical interest in our numerical simulations by varying preload, afterload and …
A second order accurate approximation for fractional derivatives with singular and non-singular kernel applied to a HIV model
… order accuracy for the approximation of fractional operators … operators, we perform numerical
simulations of the HIV model … Clinical data from a diverse range propose that availability of …
simulations of the HIV model … Clinical data from a diverse range propose that availability of …
[HTML][HTML] Mathematical modeling and numerical simulation of HIV infection model
M Sohaib - Results in Applied Mathematics, 2020 - Elsevier
… numerical schemes namely continuous Galerkin–Petrov (cGP(2)) and Legendre Wavelet
Collocation Method (LWCM) for the approximate … cells is used in a clinical as indicator for the …
Collocation Method (LWCM) for the approximate … cells is used in a clinical as indicator for the …
Discrete dipole approximation-based microwave tomography for fast breast cancer imaging
S Hosseinzadegan, A Fhager… - IEEE transactions on …, 2021 - ieeexplore.ieee.org
… and has obtained some acceptance in clinical experiments [15]–[… is based on a discrete
dipole approximation (DDA) forward … Section IV shows simulated numerical results and those for …
dipole approximation (DDA) forward … Section IV shows simulated numerical results and those for …
Comparison of propagation models and forward calculation methods on cellular, tissue and organ scale atrial electrophysiology
C Nagel, CB Espinosa, K Gillette… - IEEE Transactions …, 2022 - ieeexplore.ieee.org
… digital twin for certain clinical applications such as to guide … still provide a decent
approximation of wave propagation under … To quantify the numerical error arising due to the mesh …
approximation of wave propagation under … To quantify the numerical error arising due to the mesh …
[HTML][HTML] Model order reduction of flow based on a modular geometrical approximation of blood vessels
… incompatible with clinical practice. Moreover, in many cases the … approximation of arteries
by the above-mentioned domain-decomposition approach; we also address the numerical …
by the above-mentioned domain-decomposition approach; we also address the numerical …
[HTML][HTML] Quantifying discretization errors for soft tissue simulation in computer assisted surgery: A preliminary study
M Duprez, SPA Bordas, M Bucki, HP Bui… - Applied Mathematical …, 2020 - Elsevier
… of the numerical solution, namely how can we compute an approximate discretization error
… problems that arise in current practice for clinical biomechanics, and point out the main …
… problems that arise in current practice for clinical biomechanics, and point out the main …
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