Efficient approximation of cardiac mechanics through reduced‐order modeling with deep learning‐based operator approximation

L Cicci, S Fresca, A Manzoni… - … Journal for Numerical …, 2024 - Wiley Online Library
… 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 …

[HTML][HTML] Mathematical modeling of prostate cancer and clinical application

T Phan, SM Crook, AH Bryce, CC Maley, EJ Kostelich… - Applied Sciences, 2020 - mdpi.com
… 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 …

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 …

A cardiac electromechanics model coupled with a lumped parameters model for closed-loop blood circulation. Part II: numerical approximation

F Regazzoni, M Salvador, PC Africa, M Fedele… - arXiv preprint arXiv …, 2020 - arxiv.org
… 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 …

A second order accurate approximation for fractional derivatives with singular and non-singular kernel applied to a HIV model

S Arshad, O Defterli, D Baleanu - Applied Mathematics and Computation, 2020 - Elsevier
… 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 …

[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 …

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 …

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 …

[HTML][HTML] Model order reduction of flow based on a modular geometrical approximation of blood vessels

L Pegolotti, MR Pfaller, AL Marsden… - Computer methods in …, 2021 - Elsevier
… incompatible with clinical practice. Moreover, in many cases the … approximation of arteries
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 …