Results 1 to 10 of about 884 (117)
Steady solution and its stability of a mathematical model of diabetic atherosclerosis [PDF]
Journal of Biological Dynamics, 2023 Atherosclerosis is a leading cause of death worldwide. Making matters worse, nearly 463 million people have diabetes, which increases atherosclerosis-related inflammation. Diabetic patients are twice as likely to have a heart attack or stroke.
Xuming Xie
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Convergence rate for the incompressible limit of nonlinear diffusion–advection equations [PDF]
Annales de l'Institut Henri Poincare. Analyse non linéar, 2021 The incompressible limit of nonlinear diffusion equations of porous medium type has attracted a lot of attention in recent years, due to its ability to link the weak formulation of cell-population models to free boundary problems of Hele-Shaw type ...
Noemi David, Tomasz Dkebiec, B. Perthame
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On the number of positive solutions to an indefinite parameter-dependent Neumann problem [PDF]
, 2021 We study the second-order boundary value problem { −u′′ = aλ,μ(t)u(1− u), t ∈ (0, 1), u′(0) = 0, u′(1) = 0, where aλ,μ is a step-wise indefinite weight function, precisely aλ,μ ≡ λ in [0, σ]∪ [1−σ, 1] and aλ,μ ≡ −μ in (σ, 1−σ), for some σ ∈ ( 0, 1 2 ...
Guglielmo Feltrin +2 more
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Quantitative mean-field limit for interacting branching diffusions [PDF]
Electronic Journal of Probability, 2021 We establish an explicit rate of convergence for some systems of meaneld interacting di usions with logistic binary branching towards the solutions of nonlinear evolution equations with non-local self-di usion and logistic mass growth, shown to describe ...
J. Fontbona, Felipe Munoz-Hern'andez
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Study of nanolayer on red blood cells as drug carrier in an artery with stenosis
Computational and Mathematical Biophysics, 2023 This article discusses a novel idea from cell therapy in which nanoparticles (NPs) are adsorbed on red blood cells (RBCs). RBCs serve as a drug carrier for NPs or nanodrugs adsorbed on the cell membrane of RBC.
Prasad Bhawini
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Classical solutions to Cauchy problems for parabolic–elliptic systems of Keller-Segel type
Open Mathematics, 2023 The Cauchy problem in Rn{{\mathbb{R}}}^{n}, n≥2n\ge 2, for ut=Δu−∇⋅(uS⋅∇v),0=Δv+u,(⋆)\begin{array}{r}\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{l}{u}_{t}=\Delta u-\nabla \cdot \left(uS\cdot \nabla v),\\ 0=\Delta v+u,\end{array}\right.\hspace{2 ...
Winkler Michael
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Global existence and boundedness in a two-species chemotaxis system with nonlinear diffusion
Open Mathematics, 2021 This paper is concerned with a chemotaxis system ut=Δum−∇⋅(χ1(w)u∇w)+μ1u(1−u−a1v),x∈Ω,t>0,vt=Δvn−∇⋅(χ2(w)v∇w)+μ2v(1−a2u−v),x∈Ω,t>0,wt=Δw−(αu+βv)w,x∈Ω,t>0,\left\{\begin{array}{ll}{u}_{t}=\Delta {u}^{m}-\nabla \cdot \left({\chi }_{1}\left(w)u\nabla w)+{\mu
Huang Ting, Hou Zhibo, Han Yongjie
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Advances in Nonlinear Analysis, 2022 In this article, we will develop an analytical approach to construct the global bounded weak solutions to the initial-boundary value problem of a three-dimensional chemotaxis-Stokes system with porous medium cell diffusion Δnm\Delta {n}^{m} for m≥6563m ...
Tian Yu, Xiang Zhaoyin
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Advances in Nonlinear Analysis, 2020 We study a phase field model proposed recently in the context of tumour growth. The model couples a Cahn–Hilliard–Brinkman (CHB) system with an elliptic reaction-diffusion equation for a nutrient.
Ebenbeck Matthias, Lam Kei Fong
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Logistic damping effect in chemotaxis models with density-suppressed motility
Advances in Nonlinear Analysis, 2022 This paper is concerned with a parabolic-elliptic chemotaxis model with density-suppressed motility and general logistic source in an n-dimensional smooth bounded domain with Neumann boundary conditions.
Lyu Wenbin, Wang Zhi-An
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