Results 21 to 30 of about 78 (66)

Analysis of a model describing bacterial colony expansion in radial geometry driven by chemotaxis

European Journal of Applied Mathematics
We investigate a recent model proposed in the literature elucidating patterns driven by chemotaxis, similar to viscous fingering phenomena. Notably, this model incorporates a singular advection term arising from a modified formulation of Darcy’s law.
Elio Espejo
doaj   +1 more source

Stabilization in a chemotaxis system modelling T-cell dynamics with simultaneous production and consumption of signals

European Journal of Applied Mathematics
In a smoothly bounded domain $\Omega \subset \mathbb{R}^n$ , $n\ge 1$ , this manuscript considers the homogeneous Neumann boundary problem for the chemotaxis system \begin{eqnarray*} \left \{ \begin{array}{l} u_t = \Delta u - \nabla \cdot (
Youshan Tao, Michael Winkler
doaj   +1 more source

Global boundedness in a two-dimensional chemotaxis system with nonlinear diffusion and singular sensitivity

Advances in Nonlinear Analysis
In this study, we investigate the two-dimensional chemotaxis system with nonlinear diffusion and singular sensitivity: ut=∇⋅(uθ−1∇u)−χ∇⋅uv∇v,x∈Ω,t>0,vt=Δv−v+u+g(x,t),x∈Ω,t>0,(∗)\left\{\begin{array}{ll}{u}_{t}=\nabla \cdot \left({u}^{\theta -1}\nabla u ...
Ren Guoqiang, Zhou Xing
doaj   +1 more source

Travelling waves with continuous profile for hyperbolic Keller-Segel equation

European Journal of Applied Mathematics
This work describes a hyperbolic model for cell-cell repulsion with population dynamics. We consider the pressure produced by a population of cells to describe their motion.
Quentin Griette, Pierre Magal, Min Zhao
doaj   +1 more source

Global dynamics for the generalised chemotaxis-Navier–Stokes system in $\mathbb{R}^3$

European Journal of Applied Mathematics
We consider the chemotaxis-Navier–Stokes system with generalised fluid dissipation in $\mathbb{R}^3$ : \begin{eqnarray*} \begin{cases} \partial _t n+u\cdot \nabla n=\Delta n- \nabla \cdot (\chi (c)n \nabla c),\\[5pt] \partial _t c+u \cdot \nabla
Qingyou He, Ling-Yun Shou, Leyun Wu
doaj   +1 more source

Keller–Segel type approximation for nonlocal Fokker–Planck equations in one-dimensional bounded domain

European Journal of Applied Mathematics
Numerous evolution equations with nonlocal convolution-type interactions have been proposed. In some cases, a convolution was imposed as the velocity in the advection term.
Hideki Murakawa, Yoshitaro Tanaka
doaj   +1 more source

Derivation and travelling wave analysis of phenotype-structured haptotaxis models of cancer invasion

European Journal of Applied Mathematics
We formulate haptotaxis models of cancer invasion wherein the infiltrating cancer cells can occupy a spectrum of states in phenotype space, ranging from ‘fully mesenchymal’ to ‘fully epithelial’. The more mesenchymal cells are those that display stronger
Tommaso Lorenzi, Fiona R. Macfarlane, Kevin J. Painter   +2 more
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Cahn–Hilliard equations with singular potential, reaction term and pure phase initial datum

European Journal of Applied Mathematics
We consider local and nonlocal Cahn–Hilliard equations with constant mobility and singular potentials including, e.g., the Flory–Huggins potential, subject to no-flux (or periodic) boundary conditions.
Maurizio Grasselli, Luca Scarpa, Andrea Signori   +2 more
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Stochastic differential equation modelling of cancer cell migration and tissue invasion. [PDF]

J Math Biol, 2023
Katsaounis D, Chaplain MAJ, Sfakianakis N.   +2 more
europepmc   +1 more source

A Bayesian finite-element trained machine learning approach for predicting post-burn contraction. [PDF]

Neural Comput Appl, 2022
Egberts G, Schaaphok M, Vermolen F, Zuijlen PV.   +3 more
europepmc   +1 more source