Results 41 to 50 of about 496 (81)

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

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 stochastic model for the stepwise motion in actomyosin dynamics

, 2003
A jump-diffusion process is proposed to describe the displacements performed by single myosin heads along actin filaments during the rising phases.
Buonocore, A., Di Crescenzo, A., Martinucci, B., Ricciardi, L. M.   +3 more
core  

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

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

Modelling microtube driven invasion of glioma. [PDF]

J Math Biol, 2023
Hillen T, Loy N, Painter KJ, Thiessen R.
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