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math.AP2020★ 15 cited
Modeling multiple taxis: tumor invasion with phenotypic heterogeneity, haptotaxis, and unilateral interspecies repellence
Niklas Kolbe, Nikolaos Sfakianakis, Christian Stinner +2
We provide a short review of existing models with multiple taxis performed by (at least) one species and consider a new mathematical model for tumor invasion featuring two mutually…
math.AP2017★ 9 cited
Existence and uniqueness of global classical solutions to a two species cancer invasion haptotaxis model
Jan Giesselmann, Niklas Kolbe, Maria Lukacova-Medvidova +1
We consider a haptotaxis cancer invasion model that includes two families of cancer cells. Both families, migrate on the extracellular matrix and proliferate. Moreover the model de…