Classification and stability of global inhomogeneous solutions of a macroscopic model of cell motion.

@article{Gejji2012ClassificationAS,
  title={Classification and stability of global inhomogeneous solutions of a macroscopic model of cell motion.},
  author={Richard Gejji and Bogdan Kazmierczak and Mark Alber},
  journal={Mathematical biosciences},
  year={2012},
  volume={238 1},
  pages={21-31}
}
Many micro-organisms use chemotaxis for aggregation, resulting in stable patterns. In this paper, the amoeba Dictyostelium discoideum serves as a model organism for understanding the conditions for aggregation and classification of resulting patterns. To accomplish this, a 1D nonlinear diffusion equation with chemotaxis that models amoeba behavior is analyzed. A classification of the steady state solutions is presented, and a Lyapunov functional is used to determine conditions for stability of… CONTINUE READING

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