On a structured multiscale model for acid-mediated tumor invasion: The effects of adhesion and proliferation

@article{Engwer2017OnAS,
  title={On a structured multiscale model for acid-mediated tumor invasion: The effects of adhesion and proliferation},
  author={Christian Engwer and Christian Stinner and Christina Surulescu},
  journal={Mathematical Models and Methods in Applied Sciences},
  year={2017},
  volume={27},
  pages={1355-1390}
}
We propose a multiscale model for tumor cell migration in a tissue network. The system of equations involves a structured population model for the tumor cell density, which besides time and position depends on a further variable characterizing the cellular state with respect to the amount of receptors bound to soluble and insoluble ligands. Moreover, this equation features pH-taxis and adhesion, along with an integral term describing proliferation conditioned by receptor binding. The… 
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