6533b81ffe1ef96bd1277054
RESEARCH PRODUCT
Traveling Waves Emerging in a Diffusive Moving Filament System
Heinrich FreistühlerAngela StevensJan Fuhrmannsubject
Protein filamentMinimal modelPhysicsClassical mechanicsTraveling waveModel parametersDiffusion (business)Type (model theory)CytoskeletonActin cytoskeletonQuantitative Biology::Cell Behaviordescription
Starting from a minimal model for the actin cytoskeleton of motile cells we derive a spatially one dimensional model describing populations of right and left moving filaments with intrinsic velocity, diffusion and mutual alignment. For this model we derive traveling wave solutions whose speed and shape depend on the model parameters and the type of alignment. We discuss possible wave profiles obtained from analytical investigations as well as waves emerging in numerical simulations. In particular, we will explicitly comment on the observed wave speeds and how they are related to the model parameters. Moreover, some particularly interesting patterns being composed of several wave profiles are discussed in some detail. Finally, we shall try to draw some conclusions for the full cytoskeleton model our system had emerged from.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-01-01 |