Actin

Cell motility simulation with a reaction-diffusion model for actin waves on the cell perimeter Introduction A partial differential equation model for ‘actin waves’ by Holmes et al., 2012 was simplified and investigated by PDE bifurcation analysis in Hughes et al.

Spatial relaxation oscillator produces spatial dynamics and spiral waves, simplification of a previous model for actin waves Introduction Motivated by alternative cell motility modes in eukaryotic cells like Dictyostelium discoideum, we consider a simplified version of an intracellular model for an F-actin negative feedback to an (active/inactive) GTPase system.

We survey a combination of classical and recent experimental and modeling developments in eukaryotic cell migration, from the …

Spatial relaxation oscillator produces spatial dynamics and spiral waves Introduction We consider a full spatial variant of the Morpheus Model ID: M2012"model of a F-actin negative feedback to GTPase system.

ODEs for GTPase interacting with F-actin Introduction Here, we explore the time behavior of a well-mixed GTPase model with negative feedback from F-actin to the GTPase. Description We assume that GTPase ($G$) leads to actin assembly, and that F-actin, denoted by the variable ($F$), leads to GTPase inactivation:

Waves produced by an excitable FitzHugh–Nagumo PDE. Introduction We will here take a closer look at waves produced by an excitable FitzHugh–Nagumo PDE in a periodic 1D domain, in a periodic 2D domain.

Spatial distribution of GTPase activity Introduction The actin cytoskeleton is regulated by a set of proteins called Small GTPases. The spatial distribution of GTPase activity changes on a timescale of seconds in rapidly moving cells like white blood cells (neutrophils).

Particles moving left and right (as well as up) to mimic actin filament barbed ends Introduction Particles are moving left and right (as well as up) to mimic actin filament barbed ends as motivated by the referenced paper.