Browsing Department of Mathematics and Statistics by Author "bac5c9ce-effc-4c78-93af-a3bbcbe60942"
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Control of cardiac alternans by mechanical and electrical feedback
Yapari, Felicia; Deshpande, Dipen; Belhamadia, Youssef; Dubljevic, Stevan (American Physical Society, 2014)A persistent alternation in the cardiac action potential duration has been linked to the onset of ventricular arrhythmia, which may lead to sudden cardiac death. A coupling between these cardiac alternans and the intracellular ... -
Effects of mechano-electrical feedback on the onset of alternans: A computational study
Hazim, Azzam; Belhamadia, Youssef; Dubljevic, Stevan (AIP, 2019-06)Cardiac alternans is a heart rhythm instability that is associated with cardiac arrhythmias and may lead to sudden cardiac death. The onset of this instability, which is linked to period-doubling bifurcation and may be a ... -
Efficiency of parallel anisotropic mesh adaptation for the solution of the bidomain model in cardiac tissue
Belhamadia, Youssef; Briffard, Thomas; Fortin, André (Elsevier, 2022-04)Electrocardiology models are nonlinear reaction–diffusion type systems, where the numerical simulation requires extremely fine meshes to accurately compute the heart’s electrical activity. Anisotropic mesh adaptation methods ... -
Efficiency of semi-implicit alternating direction implicit methods for solving cardiac monodomain model
Belhamadia, Youssef; Rammal, Zeinab (Elsevier, 2021-01)It is well known that numerical simulations of the cardiac monodomain model require fine mesh resolution, which increases the computational resources required. In this paper, we construct three operator-splitting alternating ... -
Mechanical perturbation control of cardiac alternans
Hazim, Azzam; Belhamadia, Youssef; Dubljevic, Stevan (American Physical Society, 2018)Cardiac alternans is a disturbance in heart rhythm that is linked to the onset of lethal cardiac arrhythmias. Mechanical perturbation control has been recently used to suppress alternans in cardiac tissue of relevant size. ... -
A mixed finite element method for nonlinear radiation–conduction equations in optically thick anisotropic media
Belhamadia, Youssef; Seaid, Mohammed (Elsevier, 2023-09)We propose a new mixed finite element formulation for solving radiation–conduction heat transfer in optically thick anisotropic media. At this optical regime, the integro-differential equations for radiative transfer can ... -
Modeling and simulation of hypothermia effects on cardiac electrical dynamics
Belhamadia, Youssef; Grenier, Justin (Public Library of Science, 2019)Previous experimental evidence has shown the effect of temperature on the action potential duration (APD). It has also been demonstrated that regional cooling of the heart can prolong the APD and promote the termination ... -
Numerical modelling of hyperbolic phase change problems: Application to continuous casting
Belhamadia, Youssef; Cassol, Guilherme Ozorio; Dubljevic, Stevan (Elsevier, 2023-03)Heat diffusion processes are generally modeled based on Fourier’s law to estimate how the temperature propagates inside a body. This type of modeling leads to a parabolic partial differential equation, which predicts an ... -
A projection scheme for phase change problems with convection
Haddad, M. El; Belhamadia, Youssef; Deteix, J.; Yakoubi, D. (Elseiver, 2022-01)Numerical modeling of phase change problems with convection is known to be computationally expensive. The main challenge comes from the coupling between Navier–Stokes and heat energy equations. In this paper, we develop a ... -
A Simulation Study of the Role of Mechanical Stretch in Arrhythmogenesis during Cardiac Alternans
Hazim, Azzam; Belhamadia, Youssef; Dubljevic, Stevan (Biophysical Society, 2021-01)The deformation of the heart tissue due to the contraction can modulate the excitation, a phenomenon referred to as mechanoelectrical feedback (MEF), via stretch-activated channels. The effects of MEF on the electrophysiology ...