Volumetric Regression in Brain Metastases After Stereotactic Radiotherapy: Time Course, Predictors, and Significance

Background There is insufficient understanding of the natural course of volumetric regression in brain metastases after stereotactic radiotherapy (SRT) and optimal volumetric criteria for the assessment of response and progression in radiotherapy clinical trials for brain metastases are currently unknown. Methods Volumetric analysis via whole-tumor segmentation in contrast-enhanced 1 mm³-isotropic T1-Mprage sequences before SRT and during follow-up. A total of 3,145 MRI studies of 419 brain metastases from 189 patients were segmented. Progression was defined using a volumetric extension of the RANO-BM criteria. A subset of 205 metastases without progression/radionecrosis during their entire follow-up of at least 3 months was used to study the natural course of volumetric regression after SRT. Predictors for volumetric regression were investigated. A second subset of 179 metastases was used to investigate the prognostic significance of volumetric response at 3 months (defined as ≥20% and ≥65% volume reduction, respectively) for subsequent local control. Results Median relative metastasis volume post-SRT was 66.9% at 6 weeks, 38.6% at 3 months, 17.7% at 6 months, 2.7% at 12 months and 0.0% at 24 months. Radioresistant histology and FSRT vs. SRS were associated with reduced tumor regression for all time points. In multivariate linear regression, radiosensitive histology (p=0.006) was the only significant predictor for metastasis regression at 3 months. Volumetric regression ≥20% at 3 months post-SRT was the only significant prognostic factor for subsequent control in multivariate analysis (HR 0.63, p=0.023), whereas regression ≥65% was no significant predictor. Conclusions Volumetric regression post-SRT does not occur at a constant rate but is most pronounced in the first 6 weeks to 3 months. Despite decreasing over time, volumetric regression continues beyond 6 months post-radiotherapy and may lead to complete resolution of controlled lesions by 24 months. Radioresistant histology is associated with slower regression. We found that a cutoff of ≥20% regression for the volumetric definition of response at 3 months post-SRT was predictive for subsequent control whereas the currently proposed definition of ≥65% was not. These results have implications for standardized volumetric criteria in future radiotherapy trials for brain metastases.


INTRODUCTION
Brain metastases are diagnosed in 170,000 patients annually in the United States and in 20% to 40% of patients with cancer (1). Despite their high prevalence, brain metastases are still underrepresented in clinical trials and basic scientific questions remain unanswered (2). Among others, there is currently insufficient knowledge on the natural course of volumetric regression in brain metastases following stereotactic radiotherapy (SRT) and diverse conceptions exist ranging from wax and wane type volume changes post-SRT to a continuous albeit slowed growth (3).
SRT is one of the most important treatment modalities for brain metastases today. Due to the continuous advancements in systemic treatments and consecutive improvements in extracranial control, more and more patients are treated with SRT during their illness (4). In the context of systemic treatments with extracranial long-term efficacy, sustained intracranial control becomes a necessary prerequisite for long-term survival. The significance of SRT is therefore expected to rise further and SRT needs to be optimized in terms of efficacy and tolerability due to continued research and clinical trials.
To enable further systematic progress, standardized criteria for the assessment of progression and response are of vital importance with volumetric analysis potentially being superior to traditional unidimensional measurements (5)(6)(7)(8). The RANO-BM guideline is an important step in this direction. However, while the RANO-BM guideline stresses the importance of further research on volumetric assessment, it can only provide very incomplete guidance on volumetric criteria for the definition of response and progression due to a profound lack of scientific studies to base any recommendations upon (8). This is especially true for radiotherapy, where different criteria might be required than for systemic therapy trials. The basic understanding of the natural course of volumetric regression in brain metastases after stereotactic radiotherapy is currently incomplete and optimal criteria for the volumetric definition of response post-SRT are unknown (8).
In the present study we therefore sought to describe the natural course of volumetric regression of brain metastases after stereotactic radiotherapy in a large dataset of 419 brain metastases using 3145 whole-tumor segmentations. Predictors for volumetric regression in brain metastases were investigated. Wherever possible we adapted the RANO-BM recommendations or derived volumetric criteria from the established unidimensional RANO-BM criteria to support a standardized assessment of brain metastases. Furthermore, we evaluated the prognostic significance of volumetric response in brain metastases post-SRT for subsequent control by comparing the current RANO-BM recommendation to a commonly used lower volumetric threshold.

Ethics
Ethical review and approval was not required for this study in accordance with the local legislation and institutional requirements (BayKrG Art. 27). Written informed consent that data may be used for retrospective scientific studies was provided by the patients.

Patient Population
We identified all patients who received stereotactic radiotherapy (SRT) for intracranial metastases at our institution between January of 2003 and April of 2015. From this group of 566 patients, patients were selected based on the following inclusion criteria: 1) stereotactic radiotherapy for intraparenchymal brain metastases from a solid cancer, 2) no prior SRT and no prior resection of the metastasis to be analyzed, 3) availability of contrast-enhanced T1-Mprage sequences with ≤ 1 mm slice thickness at baseline and at least once during follow-up. 419 brain metastases in 189 patients fulfilled these criteria and were selected for further analysis. Of these 189 patients, 97 were male (51.3%) and 92 were female (48.7%). Median age at start of radiotherapy was 62 years (range, 25-84 years).
to a stereotactic base frame (BrainLAB, Feldkirchen, Germany). Treatment planning was performed using Iplan (BrainLAB, Feldkirchen, Germany) (10,11). Patients received a dedicated planning CT, which was rigidly coregistered with the baseline MRI using the Iplan software. The gross target volume (GTV) was delineated in the contrast-enhanced T1-Mprage sequence of the baseline MRI study. Planning target volume (PTV) was defined as GTV with an additional margin of 1-2 mm. During treatment, daily stereoscopic X-ray imaging (ExacTrac ® ) was used for setup verification and repositioning. For SRS, stereoscopic X-ray imaging was repeated after every couch rotation. 41.3% (173/419) of all metastases had been treated with upfront whole-brain radiotherapy (WBRT) before stereotactic radiotherapy (SRT) while 58.7% (246/419) received SRT alone. Median WBRT fraction dose was 3 Gy (interquartile range [IQR], 2-3 Gy) and median total WBRT dose was 40 Gy (IQR, 30-40 Gy). In case of upfront WBRT, WBRT was considered integral part of the treatment and the start date of WBRT was determined to be the start of radiotherapy for the respective brain metastases. In addition, WBRT dose was included in the calculation of the biologically effective dose (see below). 51.3% (215/419) of all metastases were treated with SRS while 48.7% (204/419) were treated with FSRT. Median single dose for SRS was 18 Gy. Different fractionation schemes were employed with FSRT. Median single dose for FSRT was 4 Gy and median total dose was 30 Gy ( Table 1). As institutional policy smaller metastases were treated with SRS and larger metastases with  IQR, interquartile range; WBRT, Whole-brain radiotherapy; BED 12-LQC , Biologically effective dose for an alpha/beta ratio of 12, linear-quadratic-cubic model. Total BED 12 (12,13): With n being the number of fractions and d being the dose per fraction, a/b was assumed to be 12 Gy and a/g 648 Gy² (12,13). In case of upfront WBRT, BED 12-LQC were separately calculated for WBRT and SRT and added together to form the total BED 12-LQC used for further calculations.

Follow-Up and Imaging
Images were collected on different Siemens 1.5 Tesla MRI scanners (Magnetom Aera or Magnetom Avanto) at our institution. All analyzed images consisted of 160 or 192 contiguous, sagittal, or transversal planes of 3-dimensional T1weighted magnetization-prepared rapid gradient-echo images with 1 × 1 × 1 mm isotropic resolution Patients received MRI at baseline (median of 8 days before radiotherapy) and routinely at 6 weeks after stereotactic radiotherapy (SRT) and every 3 months thereafter. However, due to the retrospective nature of the study patients received MRI at slightly different points in time after SRT. To allow for analysis five time intervals were defined for volumetric measurements: 6 weeks after SRT = 6 ± 2 weeks after SRT, 3 months = 3 months ± 4 weeks after SRT, 6 months = 6 months ± 4 weeks after SRT, 12 months = 12 months ± 8 weeks after SRT and 24 months = 24 months ± 8 weeks after SRT.

Volumetric Analysis
In total, 3,145 MRI studies were used for volumetric analysis (median of 6, IQR 4-9 per patient). Segmentation was performed using the open-source software 3D Slicer (version 4.5.0) (14). 3D Slicer is supported by the National Institutes of Health (NIH) and has a large worldwide developer community and adoption (15). The software offers different modules for segmentation, volume statistics and image coregistration. A custom-developed module was used that utilizes the built-in modules but accelerates the segmentation process by automating steps that do not require user interaction (16). Segmentation was performed semi-automatically using the VTK Fast Growcut method (17) as semiautomatic segmentation methods have been shown to decrease inter-and intra-observer variabilities (18,19) and are much more time-efficient than manual delineation (20). Following a first semi-automatic segmentation step all segmentations were reviewed and corrected manually on a slice-by-slice basis using the editor module in 3D Slicer.

Volumetric Extension of the RANO-BM Criteria for the Assessment of Progression Following SRT
We support the efforts for standardization in the assessment of response in brain metastases put forth by the RANO-BM working group (8). While the RANO-BM guideline stresses the importance of further research on volumetric analysis in brain metastases, the proposed criteria for volumetric analysis provided in the RANO-BM guideline are incomplete due to the lack of research supporting specific recommendations for volumetric assessment (8). We therefore adopted the basic concept from the RANO-BM guideline to derive volumetric criteria from the established unidimensional recommendations using spherical geometry. In this regard, the RANO-BM guideline recommends defining volumetric partial response as ≥ 65% reduction in volume (8). Following this principle, progression was defined as ≥ 72.8% increase in volume in the present study relative to nadir/baseline, which corresponds to a ≥ 20% increase in diameter of a perfect sphere (i.e., the unidimensional RANO-BM criteria for progression). In addition, as the RANO-BM guideline recommends to consider small brain metastases between 5 and 10 mm in diameter as unchanged unless the longest diameter changes by at least 3 mm, an additional absolute increase in volume of at least 0.2 cm³ was required for the definition of progression in the present study. This corresponds to the absolute volume increase of a 5 mm sphere growing by additional 3 mm in diameter. Due to this additional requirement and because the main aim of this study was to give an adequate representation of volumetric change in brain metastases following SRT, which are frequently < 5 mm in diameter, no lower size limit for brain metastases was defined in the present study. In addition, as SRT is a localized therapy, change in distant lesions, corticosteroid use or clinical status were not considered in the definition of progression in the present study. Lesions experiencing volumetric progression as per the criteria above but that subsequently showed spontaneous regression during imaging follow-up back to baseline/nadir volume or showed volumetric partial response as per the RANO-BM recommendation (i.e., ≥ 65% reduction in volume) were classified as pseudoprogression/radionecrosis instead of progression. Similarly, in the case of resection, metastases were classified as progression, radionecrosis or both based on histology (21).

Statistical Analysis
For the analysis of the natural course of volumetric regression after SRT, only brain metastases were selected that did not show volumetric increase of ≥ 72.8% during their entire follow-up, did not receive resection for radionecrosis or progression and had a minimum imaging follow-up of at least 3 months. 205 metastases fulfilled these criteria and were used for this analysis. Of these, volumetric data was available for n=50 metastases at 6 weeks, n=166 metastases at 3 months, n=100 at 6 months, n=69 at 12 months and n=31 at 24 months.
Volumetric regression of brain metastases was compared between different groups using the Wilcoxon rank-sum test. Multiplicity adjustments were not performed, so p-values are descriptive and reflect a Type I error for the individual comparison. Univariate and multivariate linear regression were performed to evaluate potential predictors of residual relative metastasis volume at 3 months post-SRT.
For the evaluation of the prognostic significance of volumetric response at 3 months for subsequent local control, metastases were selected that had not progressed until then, had volumetric data available at 3 months post-SRT and had additional imaging follow-up. 179 brain metastases fulfilled these criteria and were used for this analysis. Time to local progression was calculated from the date of imaging 3 months post-SRT until progression as per the criteria defined above or cases were censored at the date of last imaging follow-up. Local control was compared between brain metastases with and without volumetric response (defined as ≥ 20% and ≥ 65% volume reduction, respectively) by means of the Kaplan-Meier method and the logrank test. Furthermore, the prognostic significance of volumetric response and other prognostic factors at 3 months post-SRT for subsequent local control was evaluated in univariate and multivariate Cox's regression analysis.
Covariates were included in multivariate models based on biologic considerations. P-values < 0.05 were considered statistically significant. All statistical analyses were performed using IBM SPSS 21.

Volumetric Regression in the Entire Cohort of Brain Metastases
First, we investigated the course of volumetric regression in the entire cohort of 419 brain metastases. In the entire cohort, median relative metastasis volume following stereotactic radiotherapy was 78.7% at 6 weeks, 55.8% at 3 months, 30.4% at 6 months, 24.7% at 12 months, and 11.2% at 24 months ( Figure 1A). We also assessed volumetric regression stratified by metastasis diameter. Interestingly, even though the number of metastasis > 2 cm was limited (n = 82, Table 1), the observed time course of volumetric regression was quite similar for metastases < 1 cm, between 1 and 2 cm, between 2 and 3 cm and for lesions > 3 cm ( Figure 1B). Seventy-eight metastases experienced progression during follow-up. These progressive lesions showed an almost continuous increase in median relative metastasis volume (132.3% at 6 weeks, 154.5% at 3 months, 192.3% at 6 months, 184.6% at 12 months, and 252.3% at 24 months post-SRT). Interestingly, metastases experiencing pseudoprogression (n = 16) during follow-up, i.e., volumetric progression followed by spontaneous regression in size, had two peaks in median relative metastasis volume at 6 weeks and at 12 months post-SRT (261.4% at 6 weeks, 116.0% at 3 months, 96.9% at 6 months, 293.2% at 12 months, and 217.4% at 24 months post-SRT, Figure 1A).
Next, we assessed the impact of tumor size on volumetric regression stratifying by metastasis diameter (Figure 3). For metastases < 1 cm, median tumor volume was 58.4% at 6 weeks, 29.2% at 3 months, 19.6% at 6 months and 0.0% at 12 months. For tumors 1-2 cm, median volume was 69.1% at 6 weeks, 28.8% at 3 months, 16.2% at 6 months and 6.9% at 12 months. In the subgroup of metastases with 2-3 cm, median tumor volume was 72.8% at 6 weeks, 43.6% at 3 months, 11.1% at 6 months and 1.9% at 12 months. Finally, for brain metastases > 3 cm, median tumor volume was 63.1% at 6 weeks, 63.3% at 3 months, 48.2% at 6 months but 2.2% at 12 months. Interestingly, across all tumor size categories metastasis regression was not significantly different for any of the time points studied, despite differences in volumetric regression tended towards being significant at 3 months post-SRT (Kruskal-Wallis p = 0.052). In addition, when dichotomizing metastases according to tumor diameter, there was no significant difference in volumetric regression between lesions < 1 cm and ≥ 1 cm for any of the time points studied (Wilcoxon rank-sum p ≥ 0.070). Similarly, no significant difference in volumetric regression was observed for metastases with 2-3 cm diameter compared to lesions < 2 cm (Wilcoxon rank-sum p ≥ 0.226). Only for brain metastases ≥ 3 cm, median volumetric regression was diminished at 3 and 6 months and volumetric regression at 3 months was significantly lower than for metastases < 3 cm (p = 0.015). Despite the number of larger metastases was limited ( Table 1), we thus found no indication that the course of volumetric regression post-SRT differed fundamentally in relation to tumor size for brain metastases up to 3 cm in diameter.
To better understand which treatment and tumor-related factors determine volumetric regression of brain metastases, we investigated which parameters influence relative metastasis  volume at 3 months post-SRT in linear regression analysis. In univariate analysis, radioresistant tumor histology (p = 0.011), FSRT vs. SRS (p = 0.048) and increasing pretreatment metastasis volume (p = 0.032) were significant factors for worse tumor regression. In multivariate analysis, radioresistant histology (p = 0.006) remained the only significant predictor for reduced metastasis regression at 3 months post-SRT ( Table 2).

Prognostic Significance of Volumetric Response at 3 Months Post-SRT for Subsequent Local Control
Next, we evaluated the prognostic significance of volumetric response at 3 months following stereotactic radiotherapy for subsequent local control of irradiated brain metastases. A second subset of 179 brain metastases was used to evaluate the prognostic significance of volumetric response for subsequent local control, in which imaging was performed at 3 months post-SRT and that had not progressed until then. The RANO-BM criteria currently recommend defining partial response volumetrically as a reduction in tumor volume of at least 65% (8). The minimum volume reduction that can be reliably detected, however, is commonly considered to be as low as 20% (22,23). As it is currently unclear, which volume cut-off is superior for the volumetric definition of partial response (8), we evaluated both thresholds in their ability to differentiate lowfrom high-risk metastases during subsequent follow-up. At   Figure 5B). This was equally observed in a sensitivity analysis when excluding the minority of metastases from small- . In multivariate analysis across all histologies, when including type of stereotactic radiotherapy, pretreatment metastasis volume, primary tumor histology (i.e., radiosensitive vs radioresistant histology), BED 12-LQC and the use of upfront WBRT, volumetric regression ≥ 20% at 3 months was the only significant predictor for local control during the subsequent follow-up period (HR 0.40, p = 0.023) ( Table 3). Interestingly, volumetric regression at 3 months was also predictive for subsequent local control when assessed as continuous parameter in univariate (HR 0.9996 per percent decrease in volume, p = 0.003) and in multivariate analysis (HR 0.9996 per percent decrease in volume, p = 0.010).

DISCUSSION
Several attempts have been undertaken in the past to describe volume changes in brain metastases after stereotactic radiotherapy (SRT) (3,(24)(25)(26)(27)(28)(29). However, although these studies provided important evidence, they were limited by a low number of analyzed metastases (25,29,30), few time points studied (24), or the fact that volumetric measurements were only carried out heuristically (3,26) and not by means of wholetumor segmentation.
In every case, analyses were not restricted to controlled brain metastases, so that progressing metastases in different stages of growth impeded the accurate assessment of volumetric regression over time.
In the present study, we attempted to overcome these limitations by only including metastases that had no evidence of progression or radionecrosis during follow-up. Volumetric criteria for progression and radionecrosis were objective and derived from the RANO-BM guideline by following the overarching concepts of the guideline (8).
Furthermore, we used volumetric data from 3145 wholetumor segmentations defined in high resolution 1-mm³ isotropic T1-MPrage sequences for the present study but limited the analysis to five time-points post-SRT where enough volumetric data was available. In addition, in the present analysis, we studied median relative metastasis volume that is less sensitive to outliers than the mean, that has been used in past studies (27). Overall, the present study might provide the most comprehensive picture of volumetric regression in brain metastases following SRT to date. Important findings are that volumetric regression in brain metastases post-SRT does not occur at a constant rate but is most pronounced in the first 6 weeks to 3 months. Despite decreasing over time, volumetric regression continues beyond 6 months post-SRT. Multiple clinical studies in the past have assumed a linear reduction in relative tumor volume over time, which may lead to wrong conclusions. For example, a recent retrospective study on the prognostic significance of volumetric regression in melanoma brain metastases counterintuitively found a worse overall survival and a higher rate of distant brain metastases in cases with faster volumetric regression post-SRT. The authors had assumed a continuous rate of volumetric reduction and calculated a "tumor dynamic index" as average percentage decrease in metastasis volume per day (31). As follow-up imaging was done 1-3 months post-SRS, a higher average percentage decrease in volume could have simply reflected an earlier follow-up MRI due to new neurologic symptoms or overall worsening patient condition (31).
Importantly, we also discovered that controlled brain metastases showed complete resolution during long-term follow-up, while the main clinical aim of stereotactic radiotherapy is of course to enable long-term control and to support prolonged survival. This finding emphasizes that stereotactic radiotherapy is a highly effective treatment modality and that complete resolution of imaging findings during follow-up is expected and does not à posteriori invalidate the imaging diagnosis of brain metastasis. Finally, a description of the natural course of volumetric regression in brain metastases may constitute an important reference when developing criteria for the volumetric assessment of brain metastases in clinical trials. We investigated different predictors for volumetric regression. In the final multivariate analysis radioresistant histology was the only significant predictor for reduced volumetric regression at 3 months post-SRT. While this finding has been described before (24,27), we were able to confirm it in a large dataset accounting for possible confounders in multivariate analysis.
This finding might reflect fundamental radiobiologic differences in brain metastases according to primary histology. Individualizing dose prescription and fractionation schemes in brain metastases according to histology could represent an important approach to further improve the efficacy and tolerability of stereotactic radiotherapy.
In addition, the finding of differential response to stereotactic radiotherapy according to histology also highlights that brain metastases constitute a heterogenous disease -a fact that has contributed to the underrepresentation of brain metastases in clinical trials and lack of research. In the present study, we deliberately did not attempt to limit the analysis to a homogeneous subgroup instead we attempted to describe volumetric regression in a continuous cohort of brain metastases that is more representative of the heterogeneity found in daily clinical practice.
Standardized criteria for the assessment of response and progression are however of vital importance and the RANO-BM guideline represents a major advancement in this regard (8). Beside stressing the importance of more research on the volumetric assessment of brain metastases, the RANO-BM guideline discusses two thresholds for the volumetric definition of partial response, notably ≥ 20% and ≥ 65% volume reduction (8). A threshold of ≥ 65% volume reduction is derived from the established unidimensional criterion of ≥ 30% decrease in diameter (i.e., a sphere decreasing by 30% in diameter decreases by ca. 65% in volume) and therefore represents a continuation of the current unidimensional criteria. However, a threshold of ≥ 20% volume reduction, which is commonly considered to be the lowest threshold that can be reliably detected (22,23), may have a higher sensitivity in detecting metastases with a favorable prognosis. In the present study we compared both thresholds in their ability to discriminate between metastases with subsequent control and those developing progression at 3 months post-SRT. Volumetric regression ≥ 20% at 3 months post-SRT significantly predicted subsequent control and was the only significant prognostic factor for subsequent local control in multivariate analysis, whereas volumetric regression ≥ 65% did not significantly differentiate metastases that subsequently developed progression and those that remained subsequently controlled.
These findings suggest thatin the context of stereotactic radiotherapy -≥ 20% volume reduction could be a better threshold for the volumetric definition of response. Further studies will need to confirm this finding, however. Moreover, different criteria for the definition of response may be needed in the context of stereotactic radiotherapy in comparison to systemic therapy trials. Volumetric analysis has many methodologic advantages, including the more reliable measurement of complex lesions (5,6), the invariance to different scan planes and patient positioning and generally that it allows to reliably detect smaller changes in tumor size than unidimensional assessment (7,8).
Already in 2001, Sorenson et al. showed in a JCO publication that volumetry using whole-tumor segmentation in 219 glioblastoma cases lead to reduced inter-and intrareader variability compared to measuring three orthogonal diameters. Furthermore, they observed differences in response classification in more than every fourth patient (6).
The fact that, nearly two decades later, volumetric analysis is still not standard in clinical trials today, cannot be explained by a lack of supporting research alone. Instead, for the most time, volumetric assessment has been very costly and time-consuming (8). Whereas Sorenson et al. still needed to scan physical films for subsequent slice-by-slice segmentation (6), semiautomatic techniques have emerged that are much more time-efficient and reduce inter-and intra-observer variability (18)(19)(20). Recently, the advent of artificial neural networks has even enabled accurate fully automatic segmentation of brain tumors (32,33). Moreover, radiomic analyses also necessarily require tumor segmentations and are increasingly incorporated into clinical trials (34). It is therefore very likely that volumetric assessment will ultimately become the new standard for the assessment of response and progression in clinical trials. As stereotactic radiotherapy will have an increasingly important role to play in enabling intracranial long-term control, further research on volumetric changes and on optimized criteria for the volumetric assessment of progression and response is much-needed.

Limitations
As this was a retrospective study, the timing of imaging studies was not strictly standardized and we were limited to study time points, where enough volumetric data was available. Also, fewer imaging studies were available for later time points. Standardization in treatment benefited from the fact that all imaging and treatment was done at a single institution. However, due to the retrospective nature it cannot be excluded that treatment-related factors could have been influenced by hidden confounders. Similarly, as selection of metastases for single-session radiosurgery vs. fractionated stereotactic radiotherapy was dependent on tumor size, no definitive conclusions in regard to differences in volumetric regression between these two modalities should be drawn. As most metastases in this series were ≤ 2 cm in diameter, generalizability of the results to large metastases may be limited.

CONCLUSION
Volumetric regression of brain metastases after SRT does not occur at a constant rate. Instead, volumetric regression is most pronounced in the first 3 months. Despite decreasing over time, volumetric regression continues beyond 6 months post-SRT and may lead to complete resolution of controlled lesions by 24 months. Radioresistant histology is associated with slower regression, which might reflect fundamental radiobiologic differences. Volumetric analysis may have a role in identifying metastases at risk for subsequent progression. A lower threshold of ≥ 20% for the definition of volumetric response post-SRT was superior to the current RANO-BM recommendation of ≥ 65% in this study. Further volumetric studies in brain metastases after stereotactic radiotherapy are of high importance to establish volumetric criteria for standardized assessment in clinical trials.

DATA AVAILABILITY STATEMENT
The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.

ETHICS STATEMENT
Ethical review and approval was not required for the study on human participants in accordance with the local legislation and institutional requirements. The patients/participants provided their written informed consent to participate in this study.

ACKNOWLEDGMENTS
The present work was performed in fulfillment of the requirements for obtaining the degree "Dr. med."