Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fine-grained Delaunay triangulation in a simulation of tumor spheroid
  growth   The simulation of many-particle systems often requires the detailed knowledge
of proximity relations to reduce computational complexity and to provide a
basis for specific calculations. Here we describe the basic scheme of a
simulator of tumor spheroid growth: the calculation of mechanical interactions
between cells and of the concentrations of diffusing chemicals requires a
backbone provided by the Delaunay triangulation and the volumes of the
associated Voronoi regions. Thus the Delaunay triangulation provides both the
proximity relations needed to reduce the computational complexity and the basic
structures that are needed to carry out the calculation of the biochemical
interactions between cells and with the enviroment. A 3D version of the
simulator uses the CGAL library as an essential component for the efficient
computation of the Delaunay triangulation and of the Voronoi regions.

17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg