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Advances in Radiotherapy &

                                                                             Nuclear Medicine



                                        ORIGINAL RESEARCH ARTICLE
                                        Comparison of different approaches for the

                                        computation of biologically effective dose in
                                        a non-uniformly irradiated treatment target in

                                        stereotactic body radiation therapy



                                        Vadim Y. Kuperman* , Yücel Altundal , and Rebecca Weinberg
                                        Florida Cancer Specialists and Research Institute, Hudson, Florida, United States of America




                                        Abstract
                                        The biologically effective dose (BED) for a non-uniformly irradiated treatment target
                                        can be determined using two approaches: averaging BEDs for different voxels in
                                        the target and averaging the probability of tumor cell survival in the target. This
                                        study compared these approaches for the computation of BED by examining their
                                        general properties and comparing BEDs  for different treatment plans. The mean
                                        BED (BED mean ) determined by averaging BEDs in different parts of the target and
                                        BED (BED ) determined by averaging the probability of survival were computed for
                                               nud
                                        51 cases of stereotactic body radiation therapy. For each case, two treatment plans
                                        were created using dynamic conformal arcs (DCAs) and volumetric modulated arc
            *Corresponding author:      therapy (VMAT). For the plans with DCAs, the sample mean of BED   was 18% > that
            Vadim Y. Kuperman                                                                 mean
                                                            −1
            (vadimkuperman@yahoo.com)   of BED nud  (for α = 0.35 Gy  and α/β =10 Gy). Conversely, for the VMAT plans and the
                                        same values of radiobiological parameters, the sample mean of BED   was only
            Citation: Kuperman VY, Altundal                                                       mean
            Y, Weinberg R. Comparison   5%> that of BED . Theoretically, BED mean  is always ≥BED . When the mean dose in
                                                     nud
                                                                                      nud
                                                                                                            2
            of different approaches for the   the target is fixed, BED mean  increases with increasing variance of the target dose (σ ).
            computation of biologically effective   In contrast, BED  decreased with increasing σ . Although BED  depends on both
                                                                               2
            dose in a non-uniformly irradiated       nud                                    nud
            treatment target in stereotactic body   alpha and beta parameters for the irradiated malignant cells, BED mean  depends only
            radiation therapy. Adv Radiother   on the alpha/beta ratio. Thus, the use of BED mean  instead of BED  can cause incorrect
                                                                                           nud
            Nucl Med. 2024;2(4):4826.   ranking of treatment plans.
            doi: 10.36922/arnm.4826
            Received: September 12, 2024
                                        Keywords: Biologically effective dose; Stereotactic body radiation therapy; Dynamic
            Accepted: November 7, 2024  conformal arc; Volumetric modulated arc therapy; Dose variance
            Published Online: December 23,
            2024
            Copyright: © 2024 Author(s).
            This is an Open-Access article   1. Introduction
            distributed under the terms of the
            Creative Commons Attribution   1.1. Background
            License, permitting distribution,
            and reproduction in any medium,   The goal of radiotherapy is to deliver a tumoricidal dose to targeted malignant cells while
            provided the original work is   minimizing the risk of normal tissue complications. Conventionally, the assessment
            properly cited.             of treatment plans and their ranking in three-dimensional conformal radiotherapy
            Publisher’s Note: AccScience   or intensity-modulated radiotherapy have been performed by considering the dose
            Publishing remains neutral with   distributions in the planning target volume (PTV) and critical normal structures. The
            regard to jurisdictional claims in
            published maps and institutional   employed criteria for plan evaluation are based on several established dose-volume
            affiliations                parameters (DVPs). For example, in lung tumors treated with a standard regimen of



            Volume 2 Issue 4 (2024)                         1                              doi: 10.36922/arnm.4826
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