Zobrazeno 1 - 10
of 163
pro vyhledávání: '"Mazen Saad"'
Publikováno v:
In Journal of Computational and Applied Mathematics June 2025 461
Publikováno v:
Applied Sciences, Vol 11, Iss 11, p 4979 (2021)
This paper is devoted to the study of the chemotaxis model for drug delivery purposes. The pattern formation for a volume-filling with nonlinear diffusive terms is investigated. The proposed mathematical model is governed by a reaction–diffusion sy
Externí odkaz:
https://doaj.org/article/c697239368b044bd835587ea74f41210
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:
Advances in Computational Mathematics. 48
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::32d5a5a68045e145c165d70952d52287
https://doi.org/10.1007/s10444-022-09972-0
https://doi.org/10.1007/s10444-022-09972-0
Publikováno v:
European Journal of Environmental and Civil Engineering. 26:6605-6624
In the case of a fast drainage process, water movements result in a rapid change in capillary pressure and shrinkage of a porous material. Until now the models used to predict the deformation of mo...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::16a513947e249dbd21a9ccb28218bf47
https://doi.org/10.1080/19648189.2021.1951360
https://doi.org/10.1080/19648189.2021.1951360
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
Publikováno v:
Computers & Mathematics with Applications. 80:2972-3003
In this work, we prove the convergence of a discretized anisotropic degenerate parabolic system modeling chemotaxis. The used method belongs to a positive nonlinear Discrete Duality Finite Volume (DDFV) family. Its aim is to respect the physical boun
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d74685759cec8f66536963e23ac723ad
https://doi.org/10.1016/j.camwa.2020.10.018
https://doi.org/10.1016/j.camwa.2020.10.018
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:
Journal of Mathematical Biology. 84
Glioblastoma Multiforme is a brain cancer that still shows poor prognosis for patients despite the active research for new treatments. In this work, the goal is to model and simulate the evolution of tumour associated angiogenesis and the therapeutic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3d532a745f9c41122b77dad9173f72ee
https://doi.org/10.1007/s00285-022-01747-x
https://doi.org/10.1007/s00285-022-01747-x
Autor:
Ziad Khalil, Mazen Saad
Publikováno v:
Electronic Journal of Differential Equations, Vol 2010, Iss 122,, Pp 1-33 (2010)
In this article, we study the existence of solutions to a nonlinear degenerate system modelling the displacement of two-phase compressible immiscible flow in a three dimensional porous media. The aim of this work is to treat the model with its genera
Externí odkaz:
https://doaj.org/article/59d2f1972e58485a8a11019b67476be1