A data-motivated density-dependent diffusion model of in vitro glioblastoma growth
- Speaker(s)
- Magdalena Bogdańska
- Affiliation
- Uniwersytet Warszawski
- Date
- Nov. 4, 2015, 2:15 p.m.
- Room
- room 4050
- Seminar
- Seminar of Biomathematics and Game Theory Group
I will present very recent article by Stepien, Rutter and Kuang in
Mathematical Biosciences and Engeneering, 2015. The research concerns
modelling glioblastoma multiforme, which is is an extremely fatal brain
cancer. It is characterized by both proliferation and large amounts of
migration, which contributes to the difficulty of treatment. Previous
models of this type of cancer growth often include two separate
equations to model proliferation or migration. Authors propose a single
equation which uses density-dependent diffusion to capture the behavior
of both proliferation and migration. The model is analyzed in order to
determine the existence of traveling wave
solutions. The viability of the density-dependent diffusion
functionchosen has been done by comparison of model with in vitro
experimental data.