Actin filament branching and protrusion velocity in a simple 1D model of a motile cell.

@article{Dawes2006ActinFB,
  title={Actin filament branching and protrusion velocity in a simple 1D model of a motile cell.},
  author={Adriana T Dawes and G. Bard Ermentrout and Eric N. Cytrynbaum and Leah Edelstein-Keshet},
  journal={Journal of theoretical biology},
  year={2006},
  volume={242 2},
  pages={
          265-79
        }
}
We formulate and analyse a 1D model for the spatial distribution of actin density at the leading edge of a motile cell. The model incorporates nucleation, capping, growth and decay of actin filaments, as well as retrograde flow of the actin meshwork and known parameter values based on the literature. Using a simplified geometry, and reasonable assumptions about the biochemical processes, we derive PDEs for the density of actin filaments and their tips. Analytic travelling wave solutions are… CONTINUE READING
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