Zobrazeno 1 - 10
of 91
pro vyhledávání: '"Mostafa Bendahmane"'
Publikováno v:
Nonlinear Analysis, Vol 28 (2023)
In this paper, we are concerned with the study of the mathematical analysis for an optimal control of a nonlocal degenerate aggregation model. This model describes the aggregation of organisms such as pedestrian movements, chemotaxis, animal swarming
Externí odkaz:
https://doaj.org/article/4a5bcd05c93b459c8839f6ce0a6aa1a2
Publikováno v:
Frontiers in Physiology, Vol 12 (2021)
One of the essential diagnostic tools of cardiac arrhythmia is activation mapping. Noninvasive current mapping procedures include electrocardiographic imaging. It allows reconstructing heart surface potentials from measured body surface potentials. T
Externí odkaz:
https://doaj.org/article/3f7b470137c04e17a0b4561a70c3e564
Autor:
Mostafa Bendahmane, Kenneth H. Karlsen
Publikováno v:
Electronic Journal of Differential Equations, Vol 2006, Iss 46, Pp 1-30 (2006)
We prove existence results for distributional solutions of anisotropic nonlinear elliptic systems with a measure valued right-hand side. The functional setting involves anisotropic Sobolev spaces as well as weak Lebesgue (Marcinkiewicz) spaces. In a
Externí odkaz:
https://doaj.org/article/c1c82526c6c748fb92c5a9f0b74fb421
Publikováno v:
Journal of Biological Systems
Journal of Biological Systems, 2023, 31 (02), pp.345-373. ⟨10.1142/S0218339023300026⟩
Journal of Biological Systems, 2023, 31 (02), pp.345-373. ⟨10.1142/S0218339023300026⟩
International audience; In this paper, we developed an optimal control of a reaction–diffusion mathematical model, describing the spatial spread of dengue infection. Compartments for human and vector populations are considered in the model, includi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1d675dbbe9ec749569350688e6024a6c
https://hal.science/hal-04127091
https://hal.science/hal-04127091
Publikováno v:
Asymptotic Analysis
Asymptotic Analysis, 2022, pp.1-32. ⟨10.3233/ASY-221804⟩
Asymptotic Analysis, 2022, pp.1-32. ⟨10.3233/ASY-221804⟩
We study the homogenization of a novel microscopic tridomain system, allowing for a more detailed analysis of the properties of cardiac conduction than the classical bidomain and monodomain models. In (Acta Appl.Math. 179 (2022) 1--35), we detail thi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f645e626741e0865f341d589b0a6b8c3
http://arxiv.org/abs/2209.07169
http://arxiv.org/abs/2209.07169
Publikováno v:
Mathematical Methods in the Applied Sciences
Mathematical Methods in the Applied Sciences, 2021, 44 (6), pp.4802-4834. ⟨10.1002/mma.7071⟩
Mathematical Methods in the Applied Sciences, 2021, 44 (6), pp.4802-4834. ⟨10.1002/mma.7071⟩
International audience; The purpose of this paper is to introduce an optimal control for a nonlocal calcium dynamic model in a cardiac cell acting on ryanodine receptors. The optimal control problem is considered as a coupled nonlocal reaction-diffus
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1ef6857517b5ffa90320c69c22862acf
https://doi.org/10.1002/mma.7071
https://doi.org/10.1002/mma.7071
Publikováno v:
Acta Applicandae Mathematicae
Acta Applicandae Mathematicae, 2022, 179 (11), ⟨10.1007/s10440-022-00498-7⟩
Acta Applicandae Mathematicae, 2022, 179 (11), ⟨10.1007/s10440-022-00498-7⟩
International audience; We present a novel microscopic tridomain model describing the electrical activity in cardiac tissue with dynamical gap junctions. The microscopic tridomain system consists of three PDEs modeling the tissue electrical conductio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5884642218753766dfe4b54076c107fe
http://arxiv.org/abs/2205.15605
http://arxiv.org/abs/2205.15605
A positive cell vertex Godunov scheme for a Beeler–Reuter based model of cardiac electrical activity
Publikováno v:
Numerical Methods for Partial Differential Equations
Numerical Methods for Partial Differential Equations, 2021, 37 (1), pp.262-301. ⟨10.1002/num.22528⟩
Numerical Methods for Partial Differential Equations, 2021, 37 (1), pp.262-301. ⟨10.1002/num.22528⟩
International audience; The monodomain model is a widely used model in electrocardiology to simulate the propagation of electrical potential in the myocardium. In this paper, we investigate a positive nonlinear control volume finite element (CVFE) sc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::955d504ffd6092ab1df3a8243b3dffce
https://doi.org/10.1002/num.22528
https://doi.org/10.1002/num.22528
Publikováno v:
Acta Applicandae Mathematicae
Acta Applicandae Mathematicae, 2021, 176 (1), pp.14. ⟨10.1007/s10440-021-00459-6⟩
Acta Applicandae Mathematicae, Springer Verlag, 2021, 176 (1), pp.14. ⟨10.1007/s10440-021-00459-6⟩
Acta Applicandae Mathematicae, 2021, 176 (1), pp.14. ⟨10.1007/s10440-021-00459-6⟩
Acta Applicandae Mathematicae, Springer Verlag, 2021, 176 (1), pp.14. ⟨10.1007/s10440-021-00459-6⟩
In this paper, we are dealing with a rigorous homogenization result at two different levels for the bidomain model of cardiac electro-physiology. The first level associated with the mesoscopic structure such that the cardiac tissue consists of extrac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::95dc0dcded7c0d58ad105a264720a21a
http://arxiv.org/abs/2201.03914
http://arxiv.org/abs/2201.03914
Publikováno v:
Journal of Computational Physics. 471:111649
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d5e8e1fb9cfa67df4d9137d63b70df85
https://doi.org/10.1016/j.jcp.2022.111649
https://doi.org/10.1016/j.jcp.2022.111649