Scaling digital twins from the artisanal to the industrial

SA Niederer, MS Sacks, M Girolami… - Nature Computational …, 2021 - nature.com
Mathematical modeling and simulation are moving from being powerful development and
analysis tools towards having increased roles in operational monitoring, control and …

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 …

[HTML][HTML] A framework for the generation of digital twins of cardiac electrophysiology from clinical 12-leads ECGs

K Gillette, MAF Gsell, AJ Prassl, E Karabelas… - Medical image …, 2021 - Elsevier
Abstract Cardiac digital twins (Cardiac Digital Twin (CDT) s) of human electrophysiology
(Electrophysiology (EP)) are digital replicas of patient hearts derived from clinical data that …

Integrated heart—coupling multiscale and multiphysics models for the simulation of the cardiac function

A Quarteroni, T Lassila, S Rossi… - Computer Methods in …, 2017 - Elsevier
Mathematical modeling of the human heart and its function can expand our understanding of
various cardiac diseases, which remain the most common cause of death in the developed …

Verification of cardiac tissue electrophysiology simulators using an N-version benchmark

SA Niederer, E Kerfoot, AP Benson… - … of the Royal …, 2011 - royalsocietypublishing.org
Ongoing developments in cardiac modelling have resulted, in particular, in the development
of advanced and increasingly complex computational frameworks for simulating cardiac …

[HTML][HTML] Efficient computation of electrograms and ECGs in human whole heart simulations using a reaction-eikonal model

A Neic, FO Campos, AJ Prassl, SA Niederer… - Journal of computational …, 2017 - Elsevier
Anatomically accurate and biophysically detailed bidomain models of the human heart have
proven a powerful tool for gaining quantitative insight into the links between electrical …

Fractional diffusion models of cardiac electrical propagation: role of structural heterogeneity in dispersion of repolarization

A Bueno-Orovio, D Kay, V Grau… - Journal of The …, 2014 - royalsocietypublishing.org
Impulse propagation in biological tissues is known to be modulated by structural
heterogeneity. In cardiac muscle, improved understanding on how this heterogeneity …

Integrating mechanism-based modeling with biomedical imaging to build practical digital twins for clinical oncology

C Wu, G Lorenzo, DA Hormuth, EABF Lima… - Biophysics …, 2022 - pubs.aip.org
Digital twins employ mathematical and computational models to virtually represent a
physical object (eg, planes and human organs), predict the behavior of the object, and …

Fully coupled fluid‐electro‐mechanical model of the human heart for supercomputers

A Santiago, J Aguado‐Sierra… - … journal for numerical …, 2018 - Wiley Online Library
In this work, we present a fully coupled fluid‐electro‐mechanical model of a 50th percentile
human heart. The model is implemented on Alya, the BSC multi‐physics parallel code …

Model of electrical activity in cardiac tissue under electromagnetic induction

F Wu, C Wang, Y Xu, J Ma - Scientific reports, 2016 - nature.com
Complex electrical activities in cardiac tissue can set up time-varying electromagnetic field.
Magnetic flux is introduced into the Fitzhugh-Nagumo model to describe the effect of …