| Literature DB >> 19397824 |
Reinhold Graf1, Peter Wust, Volker Budach, Dirk Boehmer.
Abstract
BACKGROUND: To evaluate the benefit of an on-line correction protocol based on implanted markers and weekly portal imaging in external beam radiotherapy of prostate cancer. To compare the use of bony anatomy versus implanted markers for calculation of setup-error plus/minus prostate movement. To estimate the error reduction (and the corresponding margin reduction) by reducing the total error to 3 mm once a week, three times per week or every treatment day.Entities:
Mesh:
Year: 2009 PMID: 19397824 PMCID: PMC2683853 DOI: 10.1186/1748-717X-4-13
Source DB: PubMed Journal: Radiat Oncol ISSN: 1748-717X Impact factor: 3.481
Figure 1Reference image (simulator film, left) and online image (port film, in the mid) are registered by the method shown on the right image. A template containing isocenter, bony contours and radio-opaque markers is traced from the simulator radiograph and positioned on the portal image with isocenters and main axes in coincidence. The isocenter is shifted until the bony contours (setup error) or the implanted markers are in agreement (total error). For the motion error we determine the shift from the setup corrected position to the marker corrected position. The correction method is two-dimensional and performed separately for each projection (0° and 90°). Redundant measurements (in SI direction) are in good correlation (see text).
Figure 2Basic definitions of the different error components: The setup error Δs and the motion error Δm can be added to the total error Δtot. For every patient j = 1...23 and portal image i = 1...8 the setup errors Δsij are determined by matching the bony contours of the portal images (i, j) to the reference images j (simulator radiographs) according Figure 1. The motion errors Δmij are determined after these matching procedures by subtracting the marker positions of the matched portal images (i, j) and the reference images j. The systematic error for a patient j is defined as the mean of single errors with respect to i = 1...8 portal images. The random error of patient j is defined as the standard deviation of this series. Then further statistical evaluation is possible, e.g. the mean systematic error for a series of patients (here 23 patients) in Table 2 and the mean standard deviations (mean random error) in Table 3.
Setup error, motion error and total error
| Mean ± SD [mm] i = 1,..., 8; j = 1,..., 23 | Range [mm] | |
| Left-right | 0.8 ± 2.8 | -8/10 |
| Superior-inferior | 0.1 ± 3.4 | -9/14 |
| Anterior-posterior | -1.2 ± 3.6 | -15/9 |
| Left-right | -0.3 ± 1.8 | -6/9 |
| Superior-inferior | 0.9 ± 2.8 | -9/8 |
| Anterior-posterior | 0.3 ± 3.5 | -10/10 |
| Left-right | 0.5 ± 3.5 | -10/19 |
| Superior-inferior | 0.9 ± 4.4 | -14/13 |
| Anterior-posterior | -0.8 ± 4.9 | -19/14 |
Measured deviations for all 184 (= 23 × 8) portal imaging controls (averaged over i = 1,..., 8 weekly portal images in j = 1,..., 23 patients). Mean values <...> in all three directions (left-right LR, superior-inferior SI, anterior-posterior AP) ± standard deviations SD and ranges, i.e. extremal deviations in ± orientations of the axes, in LR, SI and AP direction for setup error <Δsij>, prostate movement <Δmij> and total errror <Δtotij> are listed (see Fig. 2 for explanation of symbols).
Figure 3Measured deviations in LR, SI and AP directions in a box plot format, showing the mean values (black squares), the median values (lines in the box) and the 10% (lower horizontal line), 25% (bottom of box), 75% (top of box) and 90% (upper horizontal line) percentile split in setup variability, prostate position variability and total error.
Systematic errors
| Mean ± SD [mm] j = 1,..., 23 | Range [mm] j = 1,..., 23 | |
| Left-right | 0.8 ± 1.6 | -2.9/3.9 |
| Superior-inferior | 0.1 ± 2.1 | -2.7/6.2 |
| Anterior-posterior | -1.2 ± 2.4 | -5/4.1 |
| Left-right | -0.3 ± 1.1 | -2.9/2.7 |
| Superior-inferior | 0.9 ± 1.9 | -3.1/4.7 |
| Anterior-posterior | 0.3 ± 2.3 | -4.3/5.0 |
| Left-right | 0.5 ± 2.0 | -2.6/6.6 |
| Superior-inferior | 0.9 ± 2.7 | -4.3/7.3 |
| Anterior-posterior | -0.8 ± 2.6 | -6.7/4.0 |
Analysis of the mean vectorial setup errors per patient (after averaging over i = 1,..., 8 weekly controls) (1/8)Σi = 1...8 Δsij =: <Δs>j, the mean vectorial prostate movements (1/8)Σi = 1...8 Δmij =: <Δm>j and the mean vectorial total errors (1/8)Σi = 1...8 Δtotij =: <Δtot>j. After statistical analysis with respect to j = 1 to 23 patients we achieve the population based (mean) vectorial systematic error defined as (1/23)Σj = 1...23<Δs>j, (1/23)Σj = 1...23<Δm>j and (1/23)Σj = 1...23<Δtot>j splitted in the RL, SI and AP direction and the standard deviation SD from these errors (see Fig. 2 for explanation of symbols). Also the range (minimum to maximum) is listed (right row).
Random errors
| Mean [mm] j = 1...23 | Range [mm] j = 1...23 | |
| Left-right | 2.3 | -7.9/7.4 |
| Superior-inferior | 2.7 | -8.6/7.8 |
| Anterior-posterior | 2.7 | -12.1/5.4 |
| Left-right | 1.4 | -5.5/6.3 |
| Superior-inferior | 2.3 | -5.9/8.6 |
| Anterior-posterior | 2.7 | -7.0/8.0 |
| Left-right | 2.9 | -8.0/6.6 |
| Superior-inferior | 3.9 | -11.5/8.2 |
| Anterior-posterior | 4.3 | -14.9/11.2 |
The standard deviations of measured deviations Δsij, Δmij, Δtotij around the systematic errors (of each patient j = 1...23) <Δs>j, <Δm>j, <Δtot>j after averaging over i = 1,..., 8 weekly controls provide the random errors sqrt(1/7Σi = 1..8(<Δs>j - Δsij)2), sqrt(1/7Σi = 1..8(<Δmi>j - Δmij)2), sqrt(1/7Σi = 1..8(<Δtoti>j - Δtotij)2) for patient j = 1,..., 23. They are splitted into the RL, SI and AP direction for every error type, i.e. setup error, prostate movement and total error (see Fig. 1 for explanation of symbols). The mean random errors after averaging over 23 patients and their range, i.e. maximum deviations in both orientations of the axes, are given in the table.
Estimation of margins.
| LR | SI | AP | LR | SI | AP | ||||
| Σ | σ | Σ | σ | Σ | σ | ||||
| 2.0 | 2.9 | 2.7 | 3.9 | 2.6 | 4.3 | 7.0 | 9.5 | 9.5 | |
| Correction | 1.9 | 2.8 | 2.3 | 3.5 | 2.4 | 3.9 | 6.7 | 8.2 | 8.7 |
| Correction | 1.6 | 2.5 | 1.8 | 3.0 | 1.7 | 3.3 | 5.8 | 6.6 | 7.7 |
| Correction | 1.4 | 2.0 | 1.4 | 2.3 | 1.3 | 2.2 | 4.9 | 5.1 | 4.8 |
For our patient group the standard deviations of systematic errors (Σ) and random errors (σ) are listed in LR, SI and AP directions. Then the margins from CTV to PTV are calculated in all three directions according to the prescription 2.5 × Σ + 0.7 × σ [14] in order to consider these errors.
The errors are summarized in the first line as derived from the weekly portal images without any correction. In the following lines the variation is reduced by controling and correcting the position with increasing frequency per week (once, three times, every day). Correction is conducted if the threshold of 5 mm is crossed in any direction. After correction we assume a residual error of 3 mm in the respective direction. Under these circumstances the margins can be diminished from approximately 10 mm to 5 mm.