Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Interplay between Robustness and Dynamic Planning for Adaptive
  Radiation Therapy   Interfractional geometric uncertainties can lead to deviations of the actual
delivered dose from the prescribed dose distribution. To better handle these
uncertainties during treatment, the authors propose a dynamic framework for
robust adaptive radiation therapy in which a variety of robust adaptive
treatment strategies are introduced and evaluated. This variety is a result of
optimization variables with various degrees of freedom within robust
optimization models that vary in their grade of conservativeness. We formulate
an adaptive framework with dependence on time and/or uncertainty or neither.
The framework is evaluated with either expected-value-, worst-case-, or
conditional-value-at-risk-(CVaR)-optimization. The goal of this study is to
identify the mathematical properties of the proposed robust adaptive strategies
in order to restore the planned dose distribution. We apply a result from
convex analysis to show that in our framework, the time-dependent problem has a
time-independent optimal solution. This implies that the time-dependent problem
can be solved by dynamically solving the corresponding time-independent
problem. This is especially relevant in a clinical context, since it implies
that adaptive radiation therapy can be implemented in clinical practice using
commercially available treatment planning systems. We demonstrate that
time-and-scenario-dependent variables are most compatible with
worst-case-optimization and that including dose prediction potentially improves
treatment compared to non-adaptive planning. Contrarily,
time-and-scenario-independent variables appear most compatible with
expected-value-optimization. Non-adaptive robust strategies may provide
sufficient target coverage, comparable to robust adaptive strategies, if the
occurring uncertainties follow the same distribution as those included in the
robust model.

5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas