English

Determining parameters giving different growths of a new Glioblastoma differential model

Analysis of PDEs 2021-09-21 v3

Abstract

In this paper we analyse a differential system related to a Glioblastoma growth. Using numerical simulations, we prove that model captures different kind of growth changing adequately the parameters of the model. Firstly, we make an adimensional study in order to reduce the number of parameters. Later, we detect the main parameters determining either different width of the ring formed by proliferative cells around necrotic ones or different regular/irregular behaviour of the tumor surface.

Keywords

Cite

@article{arxiv.2104.04560,
  title  = {Determining parameters giving different growths of a new Glioblastoma differential model},
  author = {A. Fernández-Romero and F. Guillén-González and A. Suárez},
  journal= {arXiv preprint arXiv:2104.04560},
  year   = {2021}
}

Comments

16 pages, 32 figures