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Imaging in Particle Therapy
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IOP Publishing
Imaging in Particle Therapy
Current practice and future trends
Chiara Paganelli, Chiara Gianoli and Antje Knopf
Chapter 10
Treatment verification in particle therapy
C Gianoli, M De Simoni and A Knopf

10.1 Introduction

During or immediately after treatment delivery, reactive treatment verication techniques can be employed to evaluate the agreement of the delivered dose with respect to the treatment planning scenario. Because of the several weeks of fractionated treatment, unpredictable inter-fractional and intra-fractional anatom­ical changes, as well as inaccuracies in patient positioning, can occur, thus leading to dosimetric inconsistencies with respect to the treatment planning scenario. In case of relevant disagreements, a decision about possible replanning of the remaining fractions of the treatment can be taken. Different from proactive treatment verication techniques based on in-room tomographic imaging, reactive treatment verication techniques require in general a new treatment planning x-ray CT.
Reactive treatment verication techniques exploit secondary emissions induced by therapeutic radiation. However, the electromagnetic processes underlying the dose distribution are fundamentally different from the nuclear mechanisms inherent to secondary emissions. Due to the space-variant and time-variant relationship between the distribution of the secondary emissions and the dose distribution, they are typically referred to as indirect range verication techniques. For this reason, the range verication paradigm primarily entails the comparison of the measured secondary emissions with a prediction of their distribution based on Monte Carlo simulations of the treatment planning scenario. So far, the clinically investigated range verication techniques are based on positron emitters annihilating in photon pairs (positron emission tomography, PET), prompt photons produced by the de-excitation of the nuclei (prompt gammas, PGs) and, recently, charged secondary particles (mainly protons) produced by nuclear fragmentation. Generally, reactive treatment verication techniques entail the detection of the secondary radiation emerging from the patient produced by the interaction of the therapeutic beam (i.e., the projectile) with the tissue (i.e., the target), as shown in gure 10.1. This denition includes also neutrons, whose feasibility has been investigated but not yet demonstrated (Ytre-Hauge et al 2019, Toppi et al 2020).
doi:10.1088/978-0-7503-5117-1ch10 10-1 ª IOP Publishing Ltd 2024
Imaging in Particle Therapy
Figure 10.1. Secondary radiation emerging from the patient produced by the interaction of the therapeutic beam (i.e., the projectile) with the tissue (i.e., the target). A schematic representation of a detector conguration relevant to each secondary radiation is depicted. In light blue, the PET detector for the annihilation photon pair from a positron emitter; in orange, a PG detector provided with a collimator system for prompt gammas; in green, a tracking system for charged secondary particles.
As an alternative to the indirect comparison of the measurement with a prediction, the dose distribution can be retrieved from the distribution of the secondary emissions by means of dose reconstruction algorithms, based on the forward ltering approach, rstly proposed for PET imaging (Masuda et al 2019), and then extended to PG imaging (Schumann et al 2016, Pinto et al 2020). These include the analytical deconvolution (Parodi and Bortfeld 2006, Remmele et al
2011), the evolutionary algorithm (Schumann et al 2016, Hofmann et al 2019) and
the maximum likelihood expectation maximization (ML-EM) algorithm (Masuda
et al 2019, 2020), whose differences are mainly related to the objective function and
its optimization. Approaches based on deep learning have been specically proposed for dose reconstruction in PET imaging (Hu et al 2020,Maet al 2020, Rahman et al
2022) and PG imaging (Liu and Huang 2020). However, these approaches have been
preliminarily investigated relying on the ground truth distribution of the secondary emission as obtained from simulations, thus not accounting for the detection and the reconstruction of the events. Deep learning has been proposed to close this gap and thus retrieving the PG distribution based on the measurements (Jiang et al 2023).
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Simulation platforms have been specically adapted and developed for the investigation of PET and PG imaging. The GATE (Geant4 Application for Tomographic Emission) platform, based on the GEANT4 toolkit, is a Monte Carlo simulation environment that was originally proposed for emission tomog­raphy and recently extended to radiation therapy (Jan et al 2011, Borys et al 2022), provided with the modeling of complex detector and collimation systems. The MEGAlib (Medium-Energy Gamma-ray Astronomy library) platform, also based on the GEANT4 toolkit and originally intended for Compton telescopes in astronomy, has been rstly used in medical imaging for the investigation of the triple coincidence from β+ decaying isotopes emitting a third prompt photon (γ-PET imaging; Lang et al 2014). The environment is equipped with capabilities for advanced pre-processing of the raw data and tomographic image reconstruction algorithms for both PET and PG imaging (Liprandi et al 2017, Lovatti et al 2020). The FLUKA (Fluktuierende Kaskade, or uctuating cascade) platform is a tool for the simulations of particle transport and interactions with matter for an extended range of applications, including medical physics, with reference to PET imaging as range verication techniques (Sommerer et al 2006, Augusto et al 2018).

10.2 PET as range verification technique in particle therapy

10.2.1 Physics fundamentals
Nuclear interactions between the projectile and the target produce radioisotopes that emit positrons. The reaction channels, involving both projectile and target, determine the shape of the activity distribution and thus the relationship to the dose distribution (Espana et al 2011, Parodi 2012). The positron (β antiparticle of the electron (β
), annihilates with a tissue electron, thus converting its mass into radiation energy. Due to conservation of momentum and spin, positron– electron annihilation produces two γ-photons, emitted at an energy of 511 keV along opposite directions.
Due to the composition of the tissue, the positron emitters produced are mainly
carbon and oxygen isotopes. In particular,
11C,10C,15O,13
N and12N whose half­lives are about 20 min, 19 s, 2 min, 10 min and 11 ms, respectively, are the most abundant (table 10.1) in both proton and carbon ion therapy (Bauer et al 2013, Horst et al 2019). The former is crucial for PET acquisition after the treatment (i.e., in-room PET and near-room PET), while acquisition during the treatment (i.e., in-beam PET). The activity density for therapeutic ion beams is rather low, about 200 BqGy about 600 BqGy
1cm−3
for protons.
10
C and15O are important for PET
1cm−3
At the detector level, the line along which the two γ photons are emitted is called the line of response (LOR). The detection of the two coincident γ-photons along the LOR is referred to as count. The distribution of the counts can then be obtained according to tomographic image reconstruction. However, the count distribution does not coincide with the activity distribution due to the positron range and the half-life of the radioactive decay. The positron range indicates the distance between the position of β
+
decay and the annihilation, which depends on the kinetic energy
+
), which is the
for carbon ions and
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Table 10.1. List of the positron emitting isotopes produced in hadron therapy, their half-life, their most probable nuclear reaction channels and threshold energy. The most important nuclear reaction channels are reported in bold. Since the radioactive isotopes (i.e., body, the negligible production nuclear reaction channels are reported in italics. The cross sections of the radioactive capture reaction (p,γ) are typically three orders of magnitude smaller than the main channels.
13C,15
N and18O) have very low abundances in the human
Nuclear reaction
Radioisotopes Half-live
15
O 2.03 min
14
O 70.6 s
11
C 20.38 min12C(p,pn)11C 20.61 Zhu and El Fakhri (2013)
10
C 19.3 s
13
N 9.97 min
12
N11ms12C(p,n)12N 19.6 Ozoemelam et al (2020)
17
F 1.07 min
18
F 109.8 min18O(p,n)17F 2.60 Beebe-Wang et al (2003)
30
P 2.49 min
38
K 7.63 min
8
B 770 ms
channel
16
O(p,pn)15O 16.79 Zhu and El Fakhri (2013)
16
O(p,d)15O 14.3 Ozoemelam et al (2020)
14
N(p,γ)15O 0 Beebe-Wang et al (2003)
15
N(p,n)15O 3.8 Beebe-Wang et al (2003)
16
O(p,t)14O 21.7 Ozoemelam et al (2020)
16
O(p,nd)14O 28.3 Ozoemelam et al (2020)
16
O(p,p2n)14O 30.7 Pönisch et al (2004)
14
N(p,n)14O 6.6 Pönisch et al (2004)
12
C(p,d)11C 17.9 Ozoemelam et al (2020)
14
N(p,2p2n)11C 3.22 Zhu and El Fakhri (2013)
14
N(p,α)11C 3.44 Pönisch et al (2004)
16
O(p,3p3n)11C 59.64 Zhu and El Fakhri (2013)
16
O(p,αpn)11C 27.50 Beebe-Wang et al (2003)
13
C(p,p2n)11C 25.50 Beebe-Wang et al (2003)
15
O(p,αn)11C 14.70 Beebe-Wang et al (2003)
12
C(p,t)10C 25.3 Ozoemelam et al (2020)
12
C(p,nd)10C 32.1 Ozoemelam et al (2020)
12
C(p,p2n)10C 34.5 Pönisch et al (2004)
16
O(p,3p4n)10C 39.1 Pönisch et al (2004)
14
N(p,nα)10C 17.20 Beebe-Wang et al (2003)
16
O(p,2p2n)13N 5.66 Zhu and El Fakhri (2013)
16
O(p,α)13N 5.66 Beebe-Wang et al (2003)
14
N(p,pn)13N 11.44 Zhu and El Fakhri (2013)
12
C(p,γ)13N 0 Beebe-Wang et al (2003)
13
C(p,n)13N 3.20 Beebe-Wang et al (2003)
15
N(p,nd)13N 20.40 Beebe-Wang et al (2003)
15
N(p,t)13N 13.80 Beebe-Wang et al (2003)
16
O(p,γ)17F 0 Beebe-Wang et al (2003)
31
P(p,pn)30P 19.7 Zhu and El Fakhri (2013)
40
Ca(p,2p2n)38K 21.2 Zhu and El Fakhri (2013)
12
C(p,nα)8B 28.3 Ozoemelam et al (2020)
12
C(p,dt)8B 47.4 Ozoemelam et al (2020)
Threshold energy (MeV) Reference
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Imaging in Particle Therapy
spectrum of the positron, up to the maximum energy of the end point, typical of each radioisotope. Since the annihilation cross section is greater at the lower kinetic energies of positrons, the positron range can be up to several millimeters. The half­life indicates the time interval between the production of the positron emitter and the
+
β
decay, which is typically modeled by a Poisson distribution.
Treatment verication is based on the comparison of the PET image (i.e., the measured PET) with a Monte Carlo prediction of the PET distribution based on the treatment planning scenario (i.e., the expected PET), in terms of anatomy of the patient and geometry and dosimetry of the irradiation. The prediction requires the mass density and the stoichiometric composition of tissue, along with the timing parameters of irradiation and imaging (i.e., irradiation time, delay between irradiation and imaging, imaging time) as well as the washout estimation. In high perfused tissue, the biological washout of the β
+
emitters degrade the activation level and changes the shape of the activity distribution. The correction of biological washout is based on models designed and characterized on animal studies. The tissue is determined based on thresholds applied to the Hounseld Units of the treatment planning CT image, thus identifying hard bone, soft bone, fat, muscle and brain. The expected PET is decomposed into three components undergoing fast, medium and slow biological decays. Tissue-specic fractions and biological half-lives are assigned to each of the three components. The β biological washout is then calculated based on the timing parameters of imaging. The Monte Carlo prediction of the β
+
+
emitter distribution accounting for
emitters can be complemented by the γ annihilation, thus explicitly accounting for the positron range and the half-life of the radioactive decay. This way, the effect of tomographic image reconstruction on the count distribution can be predicted.
10.2.2 Quantitative range verication
The quantitative assessment in PET-based treatment verication entails a compar­ison between the measured PET and the expected PET to identify possible inconsistencies. The expected PET is typically calculated by means of Monte Carlo simulation, but also analytical attempts are reported in literature (Attanasi
et al 2011). The quantication has been typically based on the distal fall-off of PET
image proles along the beam direction (Parodi et al 2007a, 2007b, Knopf et al 2008,
2011), which correlates to the particle range. The ranges of both the measured PET
and the expected PET are extracted and compared. Different range extraction methods have been proposed, based on different percentages with respect to the activity of individual proles (80% or 90% of the peaks (Parodi et al 2007a)) and global surfaces (2%–8% of the peak (Moglioni et al 2022)) or based on the maximization of the cross-correlation of the normalized proles (Knopf et al
2008). However, the extremely low counting statistics in the measured PET is one
of the main open challenges.
The measured PET is obtained from tomographic image reconstruction of a few sinogram counts, where the activity emerges from a noisy background in a restricted area in the eld of view. The quality of the reconstruction is therefore strongly
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Imaging in Particle Therapy
limited by the noise break-up effect. A possibility to reduce noise is to stop the iterative reconstruction at the rst iterations. However, the reconstructed image results far from convergence, and therefore is potentially biased. The bias can be partially reduced by introducing the model of the spatial resolution and the time of ight information within the tomographic image reconstruction (Kurz et al 2015)as well as by using basis functions that are extended to regions rather than voxels (Gianoli et al 2014). In order to handle the low counting statistics in quantication, indices of agreement between the measured PET and the expected PET relying on the entire activity distribution have been proposed, such as based on the statistical distributions (Pearsons correlation coefcient (Kuess et al 2012) or voxel-based morphometry (Kraan et al 2022)). The expected PET has been also used not only as a comparison for the measured PET, but also as a guidefor the tomographic image reconstruction of the measured PET based on regional basis functions for 3D (three­dimensional) PET-based treatment verication (Gianoli et al 2014). Despite the increased robustness to noise and enhanced sensitivity to inconsistencies, the index of agreement provides a relative quantication of such inconsistencies, which is of difcult interpretability since it is not supported by a measure of the displacements between the measured PET and the expected PET. For this reason, the absolute quantication of the range is typically preferred. Recently, a 4D (four-dimensional) ML-EM algorithm, originally presented for cardiac gated PET imaging, has been proposed (Gianoli et al 2017). By interpreting the measured PET and the expected PET as two different motion phases of a 4D dataset, the algorithm estimates a measured PET of enhanced image quality, similar to count statistics optimization in motion compensation strategies (Gianoli et al 2016), and the deformation eld mapping the expected PET onto the measured PET as an absolute measure of the occurred displacements. However, the inaccuracies of the expected PET, especially those due to the modeling of biological washout (i.e., tissue classication in Monte Carlo simulations), translate into biases of the signal distribution, which can be wrongly interpreted as inconsistencies of measured PET. To cope with the inaccuracy of the expected PET, a reference measured PET taken at the beginning of the treatment course can be adopted to assess the reproducibility, instead of the absolute accuracy, of the treatment delivery (Nishio et al 2008, Moglioni et al 2022).
PET-based treatment verication has been demonstrated as a millimetric range verication technique in low perfusion bony structures of intracranial and cervical spine tumor patients. Patient positioning inaccuracies and anatomical changes have been detected and the treatment has been accordingly adapted for the subsequent treatment fractions. Limitations of this technique have been mainly associated to the extremely low count statistics and high perfusion of tissue, which causes PET activity washout, especially in brain and extra-cranial sites (i.e., abdominopelvic tumours; Parodi et al 2007b, Knopf et al 2011). In the thoraco-abdominal area, breathing motion represents an additional source of treatment uncertainty. With respect to that, treatment verication of moving targets based on time-resolved PET image acquisition can be accomplished by relying on the whole count statistics image quality, as obtained from the application of 4D PET motion compensation strategies (Knopf et al 2014
, Gianoli et al 2016, Kurz et al 2016).
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10.2.3 Imaging system congurations
The idea of exploiting PET imaging to verify the particle therapy treatment dates back to 1969, when the proposal of radioactive beam visualization has been put forward at the Lawrence Berkeley Laboratory (Llacer 1988), relying on
19
Ne beams. Radioactive beam visualization has been not yet clinically applied but experimental investigations have been conducted at the Heavy Ion Medical Accelerator in Chiba (HIMAC) in Japan (Mohammadi et al 2019, 2022) and at the Gesellschaft für Schwerioneneforschung (GSI) in Darmstadt (Boscolo et al 2021). Commonly, PET image acquisition for treatment verication makes use of commercial or dedicated PET scanners placed inside the treatment room or in adjacent PET imaging rooms (gure 10.2; Shakirin et al 2011). Accordingly, three different PET-based treatment verication techniques are dened: near-room PET, in-room PET and in-beam PET. Extensive clinical experiences have been reported in recent years, starting with the GSI with an in-beam PET prototype, followed by the Massachusetts General Hospital (MGH) in Boston with near-room and in-room PET systems, and most recently, the University Hospital of Heidelberg in collaboration with the Heidelberg Ion beam Therapy centre (HIT) in Germany based on near-room PET systems.
10.2.3.1 Near-room PET
To acquire near-room PET images for treatment verication, patients are typically moved to a dedicated imaging room after the treatment is delivered, where a commercial PET/CT scanner is installed. The combined PET/CT scanner allows for co-registration of the images, as the repositioning of the patient for the near-room PET acquisition can be a source of misalignments with respect to the treatment planning CT image. The time delay between the end of the treatment and the beginning of the PET acquisition strongly inuences the quality of the PET image due to the effects of biological washout and the decrease of the count statistics. In particular, the time required to collect meaningful statistics for image acquisition can be up to 30 min, exacerbating the effects of biological washout and substantially prolonging the image acquisition time, and thus patient discomfort.
Figure 10.2. PET-based treatment verication techniques: near-room PET (left), in-room PET (center), in- beam PET (right).
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