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math.DS2014
A geometric construction of travelling wave solutions to the Keller-Segel model
Kristen Harley, Peter van Heijster, Graeme Pettet
We study a version of the Keller-Segel model for bacterial chemotaxis, for which exact travelling wave solutions are explicitly known in the zero attractant diffusion limit. Using…
math.DS2014★ 13 cited
Novel solutions for a model of wound healing angiogenesis
Kristen Harley, Peter van Heijster, Robert Marangell +2
We prove the existence of novel, shock-fronted travelling wave solutions to a model of wound healing angiogenesis studied in Pettet et al., IMA J. Math. App. Med., 17, 2000. In thi…