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- W84865319 abstract "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." @default.
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- W84865319 date "2014-01-01" @default.
- W84865319 modified "2023-10-02" @default.
- W84865319 title "Traveling Waves Emerging in a Diffusive Moving Filament System" @default.
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- W84865319 doi "https://doi.org/10.1007/978-3-319-03759-2_10" @default.
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