Results 31 to 40 of about 87 (87)

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
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

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

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
doaj   +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

Tumor growth towards lower extracellular matrix conductivity regions under Darcy's Law and steady morphology. [PDF]

J Math Biol, 2022
Zheng X, Zhao K, Jackson T, Lowengrub J.
europepmc   +1 more source

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

Biomech Model Mechanobiol, 2023
Egberts G, Desmoulière A, Vermolen F, van Zuijlen P.   +3 more
europepmc   +1 more source

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

Modelling microtube driven invasion of glioma. [PDF]

J Math Biol, 2023
Hillen T, Loy N, Painter KJ, Thiessen R.
europepmc   +1 more source