[HTML][HTML] Efficient, cell-based simulations of cardiac electrophysiology; The Kirchhoff Network Model (KNM)
Mathematical models based on homogenized representation of cardiac tissue have greatly
improved our understanding of cardiac electrophysiology. However, these models are too …
improved our understanding of cardiac electrophysiology. However, these models are too …
[HTML][HTML] Efficient numerical solution of the EMI model representing the extracellular space (E), cell membrane (M) and intracellular space (I) of a collection of cardiac …
The EMI model represents excitable cells in a more accurate manner than traditional
homogenized models at the price of increased computational complexity. The increased …
homogenized models at the price of increased computational complexity. The increased …
[HTML][HTML] An explicit local space-time adaptive framework for monodomain models in cardiac electrophysiology
We present a new explicit local space–time adaptive framework to decrease the time
required for monodomain simulations for cardiac electrophysiology. Based on the localized …
required for monodomain simulations for cardiac electrophysiology. Based on the localized …
Physiological accuracy in simulating refractory cardiac tissue: the volume-averaged bidomain model vs. the cell-based EMI model
J Reimer, SA Domínguez-Rivera, J Sundnes… - arXiv preprint arXiv …, 2023 - arxiv.org
The refractory period of cardiac tissue can be quantitatively described using strength-interval
(SI) curves. The information captured in SI curves is pertinent to the design of anti-arrhythmic …
(SI) curves. The information captured in SI curves is pertinent to the design of anti-arrhythmic …
A simulation-based method to study the LQT1 syndrome remotely using the EMI model
S Domínguez, J Reimer, KR Green… - Emerging Technologies …, 2021 - Springer
The COVID-19 pandemic has spurred the development and application of new technologies
in telemedicine to overcome limitations on in-person interactions between patients and …
in telemedicine to overcome limitations on in-person interactions between patients and …
[HTML][HTML] Second-order Rosenbrock-exponential (ROSEXP) methods for partitioned differential equations
V Dallerit, T Buvoli, M Tokman, S Gaudreault - Numerical Algorithms, 2024 - Springer
In this paper, we introduce a new framework for deriving partitioned implicit-exponential
integrators for stiff systems of ordinary differential equations and construct several time …
integrators for stiff systems of ordinary differential equations and construct several time …
Gating-enhanced IMEX splitting methods for cardiac monodomain simulation
KR Green, RJ Spiteri - Numerical Algorithms, 2019 - Springer
The electrical activity in excitable cardiac tissue can be simulated using the so-called
monodomain model. The monodomain model is a continuum-based multi-scale model that …
monodomain model. The monodomain model is a continuum-based multi-scale model that …
Stabilized hybrid discontinuous Galerkin finite element method for the cardiac monodomain equation
Numerical methods for solving the cardiac electrophysiology model, which describes the
electrical activity in the heart, are proposed. The model problem consists of a nonlinear …
electrical activity in the heart, are proposed. The model problem consists of a nonlinear …
[图书][B] Speeding up high-order algorithms in computational fluid and kinetic dynamics: Based on characteristics tracing and low-rank structures
J Nakao - 2023 - search.proquest.com
Many physical phenomena can be described by nonlinear partial differential equations
(PDEs). Yet, analytic solutions are oftentimes unavailable, and lab experiments can be time …
(PDEs). Yet, analytic solutions are oftentimes unavailable, and lab experiments can be time …