Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics and bifurcations in a simple quasispecies model of
  tumorigenesis   Cancer is a complex disease and thus is complicated to model. However, simple
models that describe the main processes involved in tumoral dynamics, e.g.,
competition and mutation, can give us clues about cancer behaviour, at least
qualitatively, also allowing us to make predictions. Here we analyze a
simplified quasispecies mathematical model given by differential equations
describing the time behaviour of tumor cells populations with different levels
of genomic instability. We find the equilibrium points, also characterizing
their stability and bifurcations focusing on replication and mutation rates. We
identify a transcritical bifurcation at increasing mutation rates of the tumor
cells population. Such a bifurcation involves an scenario with dominance of
healthy cells and impairment of tumor populations. Finally, we characterize the
transient times for this scenario, showing that a slight increase beyond the
critical mutation rate may be enough to have a fast response towards the
desired state (i.e., low tumor populations) during directed mutagenic
therapies.

22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph