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The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications
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 …
has attracted remarkable interest from the mathematical community because of its intrinsic …
[HTML][HTML] A short history of the development of mathematical models of cardiac mechanics
Cardiac mechanics plays a crucial role in atrial and ventricular function, in the regulation of
growth and remodelling, in the progression of disease, and the response to treatment. The …
growth and remodelling, in the progression of disease, and the response to treatment. The …
[HTML][HTML] A comprehensive and biophysically detailed computational model of the whole human heart electromechanics
While ventricular electromechanics is extensively studied in both physiological and
pathological conditions, four-chamber heart models have only been addressed recently; …
pathological conditions, four-chamber heart models have only been addressed recently; …
Integrated heart—coupling multiscale and multiphysics models for the simulation of the cardiac function
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 …
various cardiac diseases, which remain the most common cause of death in the developed …
Modeling cardiac muscle fibers in ventricular and atrial electrophysiology simulations
Since myocardial fibers drive the electric signal propagation throughout the myocardium,
accurately modeling their arrangement is essential for simulating heart electrophysiology …
accurately modeling their arrangement is essential for simulating heart electrophysiology …
[HTML][HTML] Electro-mechanical whole-heart digital twins: a fully coupled multi-physics approach
T Gerach, S Schuler, J Fröhlich, L Lindner… - Mathematics, 2021 - mdpi.com
Mathematical models of the human heart are evolving to become a cornerstone of precision
medicine and support clinical decision making by providing a powerful tool to understand …
medicine and support clinical decision making by providing a powerful tool to understand …
[КНИГА][B] Mathematical modelling of the human cardiovascular system: data, numerical approximation, clinical applications
Mathematical and numerical modelling of the human cardiovascular system has attracted
remarkable research interest due to its intrinsic mathematical difficulty and the increasing …
remarkable research interest due to its intrinsic mathematical difficulty and the increasing …
Cell to whole organ global sensitivity analysis on a four-chamber heart electromechanics model using Gaussian processes emulators
Cardiac pump function arises from a series of highly orchestrated events across multiple
scales. Computational electromechanics can encode these events in physics-constrained …
scales. Computational electromechanics can encode these events in physics-constrained …
The importance of the pericardium for cardiac biomechanics: from physiology to computational modeling
MR Pfaller, JM Hörmann, M Weigl, A Nagler… - … and modeling in …, 2019 - Springer
The human heart is enclosed in the pericardial cavity. The pericardium consists of a layered
thin sac and is separated from the myocardium by a thin film of fluid. It provides a fixture in …
thin sac and is separated from the myocardium by a thin film of fluid. It provides a fixture in …
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 …
human heart. The model is implemented on Alya, the BSC multi‐physics parallel code …