Results 71 to 80 of about 895 (106)

Global solutions and asymptotic behavior for a parabolic degenerate coupled system arising from biology [PDF]

Nonlinear Analysis 2010, 2009
In this paper we will focus on a parabolic degenerate system with respect to unknown functions u and w on a bounded domain of the two-dimensional Euclidean space. This system appears as a mathematical model for some biological processes. Global existence and uniqueness of a nonnegative classical H\"older continuous solution are proved. The last part of
arxiv  

Stability of a two-dimensional biomorphoelastic model for post-burn contraction. [PDF]

J Math Biol, 2023
Egberts G, Vermolen F, van Zuijlen P.
europepmc   +1 more source

Derivation of continuum models from discrete models of mechanical forces in cell populations. [PDF]

J Math Biol, 2021
Lötstedt P.
europepmc   +1 more source

Stability of a one-dimensional morphoelastic model for post-burn contraction. [PDF]

J Math Biol, 2021
Egberts G, Vermolen F, van Zuijlen P.
europepmc   +1 more source

Multiscale modeling of glioma pseudopalisades: contributions from the tumor microenvironment. [PDF]

J Math Biol, 2021
Kumar P, Li J, Surulescu C.
europepmc   +1 more source

Multi-Cue Kinetic Model with Non-Local Sensing for Cell Migration on a Fiber Network with Chemotaxis. [PDF]

Bull Math Biol, 2022
Conte M, Loy N.
europepmc   +1 more source

Sensitivity and feasibility of a one-dimensional morphoelastic model for post-burn contraction. [PDF]

Biomech Model Mechanobiol, 2021
Egberts G, Vermolen F, van Zuijlen P.
europepmc   +1 more source

Travelling wave solutions in a negative nonlinear diffusion-reaction model. [PDF]

J Math Biol, 2020
Li Y, Heijster PV, Marangell R, Simpson MJ.   +3 more
europepmc   +1 more source

Comparative analysis of continuum angiogenesis models. [PDF]

J Math Biol, 2021
Martinson WD, Ninomiya H, Byrne HM, Maini PK.   +3 more
europepmc   +1 more source

Stationary states of a chemotaxis consumption system with singular sensitivity and inhomogeneous boundary conditions [PDF]

arXiv
For given total mass $m>0$ we show unique solvability of the stationary chemotaxis-consumption model \[ \begin{cases} 0= \Delta u - \chi \nabla \cdot (\frac{u}{v} \nabla v) \\ 0= \Delta v - uv \\ \int_\Omega u = m \end{cases} \] under no-flux-Dirichlet boundary conditions in bounded smooth domains $\Omega\subset \mathbb{R}^2$ and $\Omega=B_R ...
arxiv