A two parameter family of travelling waves with a singular barrier arising from the modelling of extracellular matrix mediated cellular invasion

@inproceedings{Perumpanania1999ATP,
  title={A two parameter family of travelling waves with a singular barrier arising from the modelling of extracellular matrix mediated cellular invasion},
  author={Abbey J. Perumpanania and Jonathan A. Sherrattc and John Norburyd and Helen M. Byrnee},
  year={1999}
}
  • Abbey J. Perumpanania, Jonathan A. Sherrattc, +1 author Helen M. Byrnee
  • Published 1999
Invasive cells variously show changes in adhesion, protease production and motility. In this paper the authors develop and analyse a model for malignant invasion, brought about by a combination of proteolysis and haptotaxis. A common feature of these two mechanisms is that they can be produced by contact with the extracellular matrix through the mediation of a class of surface receptors called integrins. An unusual feature of the model is the absence of cell diffusion. By seeking travelling… CONTINUE READING
20 Citations
15 References
Similar Papers

Citations

Publications citing this paper.
Showing 1-10 of 20 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 15 references

et al

  • R. E. Seftor, E. A. Seftor, K. R. Gehlsen, W. G. Stetler-Stevenson
  • Role of alpha-v-beta-3 integrin in human melanoma…
  • 1992
Highly Influential
3 Excerpts

On the transition from initial data to travelling waves in the Fisher-KPP equation

  • J. A. Sherratt
  • Dyn. Stab. Syst. 13
  • 1998
1 Excerpt

The Cauchy problem for reaction–convection equations in higher dimensional spaces

  • V. Lu
  • Acta Math. Sci. 14
  • 1994
1 Excerpt

Similar Papers

Loading similar papers…