Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spatio-temporal modelling of phenotypic heterogeneity in tumour tissues
  and its impact on radiotherapy treatment   We present a mathematical model that describes how tumour heterogeneity
evolves in a tissue slice that is oxygenated by a single blood vessel.
Phenotype is identified with the stemness level of a cell, $s$, that determines
its proliferative capacity, apoptosis propensity and response to treatment. Our
study is based on numerical bifurcation analysis and dynamical simulations of a
system of coupled non-local (in phenotypic space) partial differential
equations that links the phenotypic evolution of the tumour cells to local
oxygen levels in the tissue. In our formulation, we consider a 1D geometry
where oxygen is supplied by a blood vessel located on the domain boundary and
consumed by the tumour cells as it diffuses through the tissue. For
biologically relevant parameter values, the system exhibits multiple steady
states; in particular, depending on the initial conditions, the tumour is
either eliminated ("tumour-extinction") or it persists ("tumour-invasion"). We
conclude by using the model to investigate tumour responses to radiotherapy
(RT), and focus on establishing which RT strategies can eliminate the tumour.
Numerical simulations reveal how phenotypic heterogeneity evolves during
treatment and highlight the critical role of tissue oxygen levels on the
efficacy of radiation protocols that are commonly used clinically.

19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg