Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computational modelling of cancer evolution by multi-type branching
  processes   Metastasis, the spread of cancer cells from a primary tumor to secondary
location(s) in the human organism, is the ultimate cause of death for the
majority of cancer patients. That is why, it is crucial to understand
metastases evolution in order to successfully combat the disease. We consider a
metastasized cancer cell population after medical treatment (e.g.
chemotherapy). Arriving in a different environment the cancer cells may change
their lifespan and reproduction, thus they may proliferate into different
types. If the treatment is effective, in the context of branching processes it
means, the reproduction of cancer cells is such that the mean offspring of each
cell is less than one. However, it is possible mutations to occur during cell
division cycle. These mutations can produce a new cancer cell type, which is
resistant to the treatment. Cancer cells from this new type may lead to the
rise of a non-extinction branching process. The above scenario leads us to the
choice of a reducible multi-type age-dependent branching process as a relevant
framework for studying the asymptotic behavior of such complex structures. Our
previous theoretical results are related to the asymptotic behavior of the
waiting time until the first occurrence of a mutant starting a non-extinction
process and the modified hazard function as a measure of immediate recurrence
of cancer disease. In the present paper these asymptotic results are used for
developing numerical schemes and algorithms implemented in Python via the NumPy
package for approximate calculation of the corresponding quantities. In
conclusion, our conjecture is that this methodology can be advantageous in
revealing the role of the lifespan distribution of the cancer cells in the
context of cancer disease evolution and other complex cell population systems,
in general.

3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph