Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Glioblastoma PDE-ODE model including chemotaxis and vasculature   In this work we analyse a PDE-ODE problem modelling the evolution of a
Glioblastoma, which includes chemotaxis term directed to vasculature. First, we
obtain some a priori estimates for the (possible) solutions of the model. In
particular, under some conditions on the parameters, we obtain that the system
does not develop blow-up at finite time. In addition, we design a fully
discrete finite element scheme for the model which preserves some pointwise
estimates of the continuous problem. Later, we make an adimensional study in
order to reduce the number of parameters. Finally, we detect the main
parameters determining different width of the ring formed by proliferative and
necrotic cells and different regular/irregular behaviour of the tumor surface.

12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin