English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Angiogenesis is a key process in the tumoral growth which allows thecancerous tissue to impact on its vasculature in order to improve thenutrient's supply and the metastatic process. In this paper, we introduce amodel for the density of metastasis which takes into account for this feature.It is a two dimensional structured equation with a vanishing velocity field anda source term on the boundary. We present here the mathematical analysis of themodel, namely the well-posedness of the equation and the asymptotic behavior ofthe solutions, whose natural regularity led us to investigate some basicproperties of the space $\Wd(\Om)=\{V\in L^1;\;\div(GV)\in L^1\}$, where $G$ isthe velocity field of the equation.

Mathematical analysis of a two-dimensional population model of metastatic growth including angiogenesis