1. Existence of traveling wavefronts for Sherratt’s avascular tumor model
- Author
-
Zhu, Huiyan and Ou, Chunhua
- Subjects
- *
TUMOR growth , *BIOLOGICAL mathematical modeling , *HOLOGRAPHY , *MATHEMATICAL continuum , *DIETARY supplements , *CELL motility , *PERTURBATION theory , *BANACH algebras , *FIXED point theory , *CELL proliferation - Abstract
Abstract: In this paper, we revisit Sherratt’s avascular tumor growth system modeled in terms of the continuum densities of proliferating, quiescent and necrotic cells, together with the consideration of the generic nutrient supply from underlying tissue and cell movement of contact inhibition. By adopting a perturbation method combined with the Banach fixed point theorem, we theoretically justify the existence of the traveling wavefronts for this model. [Copyright &y& Elsevier]
- Published
- 2011
- Full Text
- View/download PDF