Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A linear programming approach to inverse planning in Gamma Knife
  radiosurgery   Leksell Gamma Knife is a stereotactic radiosurgery system that allows
fine-grained control of the delivered dose distribution. We describe a new
inverse planning approach that both resolves shortcomings of earlier approaches
and unlocks new capabilities. We fix the isocenter positions and perform
sector-duration optimization using linear programming, and study the effect of
beam-on time penalization on the trade-off between beam-on time and plan
quality. We also describe two techniques that reduce the problem size and thus
further reduce the solution time: dualization and representative subsampling.
The beam-on time penalization reduces the beam-on time by a factor 2-3 compared
with the naive alternative. Dualization and representative subsampling each
leads to optimization time-savings by a factor 5-20. Overall, we find in a
comparison with 75 clinical plans that we can always find plans with similar
coverage and better selectivity and beam-on time. In 44 of these, we can even
find a plan that also has better gradient index. On a standard GammaPlan
workstation, the optimization times ranged from 2.3 to 26 s with a median time
of 5.7 s. In conclusion, we present a combination of techniques that enables
sector-duration optimization in a clinically feasible time frame.

5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ