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Imaging in Particle Therapy
(Continued)
Light to charge/
voltage converter Imaging
numerical
Photomultiplier tubes Analytical and
stack of scintillating
Range telescope as a
tomographic image
counters
reconstruction
(helium ions)
(Crowe et al 1975)
tomographic image
reconstruction
Photomultiplier tubes Analytical
calorimeter (earlier
experiments), range
Crystal scintillating
proportional
chambers
(protons) (Hanson
1979)
telescope as stack of
plastic scintillators
Radiography
(later experiments)
Multiple layers of
(Pettersen et al
pixelated silicon
pixelated
2017)
detectors (CMOS/
APS)
silicon
detectors
et al 2020)
Radiography (Alme
pixelated silicon
Multiple layers of
pixelated
(CMOS/APS)
detectors
(ALPIDE) +
silicon
detectors
aluminium
absorbers
(ALPIDE)
Table 6.2. Overview of list-mode prototypes (single tracking or rear tracking).
Tracking detector technology Energy detector technology
Schematic Project/prototype Entrance position Exit position Absorption detectors
chambers
Multi-wire proportional
Laboratory,
California
Figure 6.1(A) Lawrence Berkeley
Multi-wire
California, Los
Alamos Scientific
University of
experiments),
figure 6.1(F) (later
Figure 6.1(E) (earlier
Laboratory
experiments)
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Multiple layers of
collaboration
Figure 6.1(F) Bergen pCT
Multiple layers of
Imaging in Particle Therapy
Light to charge/
voltage converter Imaging
(Lo Presti et al 2016)
Hardware prototype
photomultiplier
Scintillating fibres Silicon
fibres
array
(Amaldi et al 2011)
Hardware prototype
photomultipliers
Silicon
stack of plastic
Range telescope as
multipliers
scintillator tiles
(GEMs)
Table 6.2. (Continued )
Tracking detector technology Energy detector technology
Schematic Project/prototype Entrance position Exit position Absorption detectors
Scintillating
(Cagliari and
Figure 6.1(F) INFN and INAF
Gas electron
Catania)
Figure 6.1(F) CERN and Tera
foundation
6-12
Science 1968)
reconstruction (broad beam) (Cormack and
First tomography, analytical image
Imaging in Particle Therapy
Koehler Phys. Med. Biol. 1976)
based on numerical decomposition of the
integrated signal of each pencil beams
Numerical tomographic image reconstruction
(Magallanes et al 2019)
based on passive and active energy variations
of the pencil beams (Telsemeyer et al 2012)
based on passive energy variations of broad
beam (Testa et al 2013)
Light to charge/
voltage converter Imaging
Energy detector technology
Absorption
detectors
tubes
Photomultiplier
Ionization
scintillating
counter
Range telescope as
chambers
a stack of plastic
absorption tiles
Heidelberg Ion Therapy Center,
GSI Helmholtz Center for Heavy
Ion Research
Analytical tomographic image reconstruction
Pixelated
Numerical tomographic image reconstruction
(commercial)
silicon detector
Pixelated
Heidelberg Ion Therapy Center,
German Cancer Research Center
Radiography (Würl et al 2022)
(commercial)
silicon detector
Pixelated
Harvard University
Medical School
Radiography (Schnürle et al 2023)
(commercial)
silicon detector
detectors
Pixelated silicon
München
München
Optical cameras Radiography (Darne et al 2022)
(CMOS)
Monolithic plastic
scintillator
Anderson Cancer CenterF
Table 6.3. Overview of integration-mode prototypes.
Schematic Project/prototype
Figure 6.1(G) Harvard University Photographic film First radiography (broad beam) (Koehler
Figure 6.1(G) Harvard University, Tufts University Crystal
Figure 6.1(H) Heidelberg University Hospital,
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Figure 6.1(I) Heidelberg University Hospital,
Figure 6.1(I) Massachusetts General Hospital,
Figure 6.1(I) Ludwig-Maximilians-Universität
Figure 6.1(I) Ludwig-Maximilians-Universität
Figure 6.1(G) The University of Texas MD
Imaging in Particle Therapy
ProtonVDA LLC3has developed the only non-academic scanner. It is a compact device, using two tracking modules with four directly adjacent layers of 1 mm scintillating bers each, two oriented vertically and two horizontally, to determine proton position upstream and downstream of the imaged object. Always two layers are displaced by half pitch; the SciFis are read out by SiPMs. Residual energy is determined in a 40×40 cm
2
plastic scintillator block with sensitive thickness of only 10 cm, coupled to 16 PMTs. Due to aggressive SciFi grouping and the reduced calorimeter thickness, the device relies on imaging radiation delivered by a pencil beam treatment plan, featuring several energy layers (DeJongh et al 2021). A direct comparison of Phase-II and ProtonVDA scanner can be found in Dedes et al (2022).
The PRaVDA collaboration
4
has developed a high rate-capable, all-silicon prototype system with upstream and downstream tracking stations featuring six single-layer silicon strip detectors each. The sampling range detector uses the same silicon strip detectors, interleaved with 2 mm PMMA plates and has a limited energy range of 30–80 MeV (Esposito et al 2018). The efforts are continued by the OPTIma project
5
, aiming for a tracker with a total of 12 single-sided silicon strip detectors, based on the ATLAS Inner Tracker (ITk) sensors (ATLAS Collaboration 2017), followed by a calorimeter of segmented scintillators (Winter et al 2023).
The Istituto Nazionale di Fisica Nucleare (INFN) scanner features a four-layer
tracker. Each 20×5 cm
2
layer consists of eight 5×5 cm2single-sided silicon strip modules, glued back-to-back to provide 2D position information. Residual energy is measured in a 10 cm deep calorimeter, consisting of 2×7 YAG:Ce scintillators of 3×3 cm
2
cross section, interfaced by SiPMs. Due to the relatively long signal and
shaping time of the calorimeter, the readout rate is below 100 kHz (Scaringella et al
2023).
A collaboration of Northern Illinois University (USA), Fermi National Accelerator Laboratory (USA) and University of Delhi (India) developed a 2 MHz rate capable scanner, foreseen to be gantry-mountable. The tracker consists of
0.5 mm diameter SciFis. Four layers are arranged into a tracking module with 2D position information, and two tracking modules upstream and downstream of the object provide position and direction information. 96 layers of 3.2 mm thick plastic scintillator, as the trackers interfaced by SiPMs, provide the residual range information (Naimuddin et al 2016). The collaboration funding ended before remaining issues with defective SiPMs and the self-triggered DAQ system could be resolved (Johnson 2017).
The iMPACT project
6
aims at developing a scanner, capable of handling 10 particles per second. The tracker should consist of monolithic active pixel sensors. For prototyping the ALPIDE sensor, originally developed for the inner tracker of ALICE, CERN, has been selected. The segmented calorimeter is envisaged to employ rectangular ngers of plastic scintillator, individually coupled to SiPMs
2
9
3
https://protonvda.com/
4
https://www.liverpool.ac.uk/particle-physics/experiments/pravda/
5
https://gow.epsrc.ukri.org/NGBOViewGrant.aspx?GrantRef=EP/R023220/1
6
https://cordis.europa.eu/project/id/6490311
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Imaging in Particle Therapy
(Baruffaldi et al 2018). In a concept study, only able to image small animal sizes, Timepix semiconductor detectors have been used as readout structure for gaseous Time Projection Chambers. The calorimeter is a BaF
crystal, coupled to a PMT
2
(Biegun et al 2015).
6.2.3.2 Rear tracking detector systems
Several prototype scanners with only a downstream tracking and range station have been developed. The main advantage is the reduced complexity, thus potentially facilitating clinical integration, at the cost of reduced image quality.
The TERA foundation developed in the AQUA project an imaging device with
an imaging device with a 30×30 cm
2
active area and 1 MHz rate capable DAQ system. Position and direction of transmitted particles are determined in two triple­GEM detectors with 2D-readout. The residual range is measured in 48 layers of
3.2 mm thick plastic scintillators, each coupled via a WLS ber to a single SiPM (Bucciantonio et al 2013).
An all-silicon imaging device has been proposed by the Bergen pCT collabo-
8
ration
. The two downstream tracking layers and the 41 layers in the sampling range detector are formed by 108 ALPIDE sensors each, developed for the inner tracker of the ALICE experiment, CERN. The only difference between tracking and range detector layers is the sensor backing material: 0.2 mm thick carbon-epoxy sandwich structures and 3.5 mm aluminum, respectively (Alme et al 2020).
On a much smaller scale, suited only for small animal imaging, a system based on Timepix3 sensors has been developed. The position of transmitted particles is measured in several pixelized sensors, and the residual energy is determined from the measured particle energy loss inside each pixel (Würl et al 2020).
Equally suitable for small animal imaging, both with respect to active area and possible particle energy, is a full-SciFi imaging system. Four layers of 0.5×0.5 mm SciFis, two oriented in the same direction, measure the position of transmitted particles. Smart grouping reduces the necessary number of SiPMs for ber readout. The range detector consists of 60 layers of the same SciFis, coupled layer-wise with two WLS bers to a SiPM (Lo Presti et al 2016).
7
,
2
6.2.3.3 Particle integrating detector systems
Systems with further reduced complexity are built to register the mean residual range or energy of an ensemble of particles referred to as integration-mode detector conguration. While these systems can be cost effective and relatively straight­forward in analysis, the imaging dose is considerably higher than in single particle tracking systems.
An ion imaging system, completely omitting spatially resolving detectors has been realized based on a 30×30 cm
2
sampling multi-layer ion chamber. The spatial information is instead provided by the clinical beam delivery and monitoring system. 61 3 mm thick PMMA absorbers, alternating with 6 mm wide planar, air- lled ICs,
7
https://project-aqua.web.cern.ch/home.html
8
https://www.uib.no/en/ift/1423566/medical-physics-bergen-pct-project
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Imaging in Particle Therapy
determine the average range of typically 100 or more particles per spot. While the system has the major advantage to use clinically available beam parameters, the resolution, especially at interfaces between different materials, is only moderate (Rinaldi et al 2014). More recent results have been reported from a similar system, using a commercial multi-layer-IC (Krah et al 2018).
A spatially resolving particle integrating system has been realized by combining liquid organic scintillator, contained in an acrylic cube (20 cm side length), with a cooled charge-coupled-device (CCD) camera. The camera registers the scintillation light production in beam direction via a 45° mirror. The amount of scintillation light in each pixel can be calibrated to average energy loss (Darne et al 2019). The concept can be extended to a plastic scintillator system with multiple camera view directions (Darne et al 2022).
The above-mentioned integrating systems operate with monoenergetic scanned pencil beams. If, alternatively, the particle energy is scanned, integrating particle imaging systems can be realized with a single layer of pixelized, energy-loss sensitive detectors. Each pixel measures an increasing energy loss, i.e., signal amplitude, as the beam energy is decreased. When the particle range is smaller than the WET of the object upstream of the respective pixel, the measured amplitude drops to zero. These amplitude-energy relations can be calibrated to WET.
A commercial diode-array detector, consisting of 249 semiconductor diodes at 7 mm pitch, has been used to record the temporal variation of dose per pixel, created by a quickly spinning moderator wheel. Although limited in spatial resolution, the system is very fast and in principle able to image moving structures (Testa et al
2013).
A similar concept, using energy modulation by active beam delivery, has been realized with a commercial CMOS pixel detector. Its size of 11.4 × 6.5 cm 2 is sufcient for small animal imaging. Due to the small pixel pitch of 49.5 μm, the achievable spatial resolution is competitive (Schnürle et al 2023).
6.3 Methodological fundamentals and detector configurations for
ion imaging
Although the current clinical workow in ion beam therapy is based on x-ray imaging, the native imaging technique for ion beam therapy is ion imaging (Parodi
2014, Johnson 2017). The most promising prototypes for ion imaging are conceived
as list-modedetectors (Schneider and Pedroni 1995, Pemler et al 1999, Sadrozinski
et al 2004, Schulte et al 2004, Bashkirov et al 2016a). This detector conguration is
typically based on the synchronization of a residual energy detector with a tracking system. Individual ions are therefore tracked and fully or partially absorbed. The energy detector can be designed either as a thick absorber measuring the residual energy or the energy loss and thus, the range of the ion traversing the object of interest (section 6.2). The tracking system typically consists of thin trackers upstream and downstream of the object of interest (ref. Detector technologies in ion imaging). With pencil beam scanning systems, the upstream tracking can be also removed. Fast tracking systems can in principle retrieve directly the residual energy
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Imaging in Particle Therapy
by the TOF measurement between different tracking positions, placed downstream of the object of interest (Ulrich-Pur et al 2022). The residual energy or range is then calibrated to WET relying on proper detector characterization. List-mode data are dened by assigning the WET to the trajectory of each ion.
Simplied imaging prototypes composed of only the energy detector without an additional tracking system are proposed for pencil beam scanning, typically referred to as integration-modedetectors. This detector conguration infers the mixed residual energy or range components of the pencil beam (due to lateral and traversal inhomogeneities) through either the total energy loss in multiple absorption and detection layers (Rinaldi et al 2013, Magallanes et al 2019)or the time resolved energy loss of multiple initial beam energies in a single thin absorption and detection layer (Telsemeyer et al 2012,Testaet al 2013, Schnürle
et al 2023). These mixed compone nts for each pencil beam can be resolved by
means of linear decomposition of the laterally segmented spatial signal (total energy loss in multiple absorpt ion and detection layers) or the temporal signal (multiple energy losses i n a single thin absorption and detection layer). This way, information about range variations due to lateral inhomogeneities can be retrieved (Krah et al 2015, Meyer et al 2017). The retrieval of traversal inhomogeneities requires instead also the traversal spatial segmentation of the signal relevant to the pencil beam (Chen et al 2022). With respect to that, semiconductor detectors working as thin absorption and detecti on layers (and as downstream tracking systems) can offer ne pixel ation of th is signal.
Relying on the calibration of the resolved components to WET, a WET histo­gram expressing the relative occurrence of each WET component is therefore obtained for each pencil beam. Integration-mode data are dened by the WET histogram assigned to the straight pencil beam direction, as provided by the synchronization of the absorption detector with the pencil beam scanning system. The WET histogram enables the computation of a weighted mean WET (WET components weighted by the relative occurrences and averaged) and a mode WET (WET component with the most frequent relative occurrence), thus referring to integration-mode mean and mode, respectively (Gianoli et al 2019). It is worth noticing that in literature, integration-mode mode is also referred to as integration­mode max to avoid the modeword repetition.
List-mode or integration-mode data covering the object of interest at a certain projection angle are referred to as an ion radiography (iRad). By mounting the detector on the rotating gantry (or by rotating the object of interest via patient couch or chair), several iRads can be acquired. Since the WET is modeled as the integral RSP along an estimated ion trajectory, the iRads correspond to a forward­projection of the unknown ion computed tomography (iCT). In particular, the estimate of ion trajectory is based on the tracking for list-mode data and assumed to coincide with the straight line along the pencil beam direction for integration-mode data. The iCT can be therefore obtained by means of tomographic image reconstruction of the iRads acquired at different projection angles.
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Imaging in Particle Therapy
6.3.1 Tomographic ion imaging
The accuracy and spatial resolution of iCT greatly depend on the estimate of ion trajectory and therefore, on the detector conguration. To estimate the tracked ion trajectory inside the object of interest for list-mode data, multiple Coulomb scattering (MCS) models of ion trajectories are adopted. The scattering model for list-mode detector conguration can be described as a bi-variate Gaussian distribu­tion with increasing standard deviation along the initial ion direction (i.e., the direction in air prior to scattering in the object of interest) and with decreasing standard deviation along the nal ion direction (i.e., the direction in air after scattering in the object of interest), according to a scattering spindle(gure 6.1). The most probable ion trajectory inside the object of interest is typically derived relying on the Bayes formalism of the maximum likely path (MLP; Schulte et al
2008) or its approximations (Collins-Fekete et al 2015). The scattering spindle is the
statistical description of the uncertainties of the MLP relevant to each ion. Different from the MLP, the scattering spindle does not provide the most probable ion trajectory but rather the statistical description of the ion trajectories constrained by the ion tracking upstream and downstream of the object of interest. The MLP can be embedded in the forward-projection model of numerical algorithms for tomographic image reconstruction. This methodology, eventually provided with superiorization (Penfold and Censor 2015), is the current state-of-the-art for list-mode data and potentially enables eliminating (or reducing to less than 1%) the intrinsic inaccur­acies of the treatment planning x-ray CT (Meyer et al 2019). Computationally faster analytical algorithms based on modied ltered back-projection along the scattering curves can be also considered when list-mode data satisfy the required mathematical hypotheses about continuity (Rit et al 2013). The MLP as the most probable ion trajectory turns into a straight line along the pencil beam direction for integration­mode detector conguration. This direction corresponds to the pencil beam direction deduced from the treatment planning system or the beam monitoring system. The statistical description of the uncertainties of the straight line along the pencil beam direction is referred to as scattering cone(gure 6.1). For this reason, tomographic image reconstruction for integration-mode data is traditionally limited to the use of the straight lines in either analytical or numerical algorithms. However, the straight line describes only the most probable range component (mode WET) of the pencil beam. The use of scattering models for integration-mode data is reported in literature (Rescigno et al 2015, Seller Oria et al 2018). Analytical algorithms based on ltered back-projection along the scattering cones are proposed for the unresolved range component of the pencil beam (Rescigno et al 2015). The scattering cone for each range component of the pencil beam is also directly embedded in the forward-projection model of numerical algorithms, guaranteeing reduced noise break-up and better convergence of the tomographic image recon­struction (Seller Oria et al 2018).
The scattering models behind the scattering curve are typically given in homoge­neous water. Lateral and traversal inhomogeneities of the object of interest makes the scattering model inconsistent to both list-mode and integration-mode data.
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Imaging in Particle Therapy
The inconsistency of the scattering curves is demonstrated to affect the accuracy of tomographic image reconstruction of list-mode data, nevertheless remaining supe­rior to integration-mode data (Gianoli et al 2019). To cope with the inconsistency of the scattering model due to inhomogeneities, different adjustments of the scattering curve for list-mode data are implemented relying on prior anatomical information. The elemental composition and mass density of the water are replaced by those of the biological tissue as given in the stoichiometric calibration (Collins-Fekete et al
2017). Alternatively, maintaining the elemental composition of water but scaling the
mass density according to the RSP along an estimate of ion trajectory, as implemented in analytical dose calculation algorithms, the scattering model is extended to water equivalent inhomogeneity (Gianoli et al 2019).
6.3.1.1 Clinical considerations for tomographic ion imaging
Tomographic ion imaging can be obtained when the beam line and the detector are embedded in a rotating gantry for patients positioned on beds or by rotating the treatment seat for ocular and cranial patients, thus probing the object of interest from different angles with a series of ion radiographies for tomographic image reconstruction. Research towards the development of cost-effective rotational beam lines are currently ongoing (Meer and Psoroulas 2015). However, in addition to geometrical limitations, the need to minimize the (extra) imaging dose to the patient puts constraints on the possibilities to obtain a full iCT image on a daily basis (Murphy et al 2007, Hansen et al 2014a). Hence, dedicated reconstruction method­ologies are currently under investigation with the purpose of optimizing image quality in presence of geometrical limitations and dosimetric constraints, based on priors coming from other imaging acquisitions such as the pCT image, under the assumption of CT-iCT registration (Hansen et al 2014b).
The exibility of pencil beam scanning offers unique opportunities to reduce imaging dose, similar to what is performed in x-ray imaging with tube current intensity modulation (Dickmann et al 2021) by optimizing the theoretical noise of the region of interest (Rädler et al 2018). A non-uniform sampling of the iRads can be obtained by varying the beam uence or intensity per pencil beam, thus maintaining the image quality in the region of interest and to penalize only less interesting regions without a loss of relevant information. In particular, an optimal uence/intensity modulation pattern, minimizing dose exposure and maximizing information in regions of interest can be dened based on priors coming from treatment planning x-ray CT image.
6.3.2 Radiographic ion imaging
Alternatively to the replacement of the treatment planning x-ray CT based on tomographic image reconstruction of several iRads, the use of a limited number of iRads is proposed to potentially minimize the intrinsic inaccuracies of the semi­empirical calibration of the treatment planning x-ray CT (Schneider et al 2005) due to tissue-specic and patient-specic RSP variations. The stoichiometric calibration is optimized relying on the forward-projection of the treatment planning x-ray CT
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Imaging in Particle Therapy
along the estimated ion trajectory, yielding the water equivalent Digitally Reconstructed Radiography (weDRR). Relying on this forward-projection model, the optimization algorithm maximizes the matching between the iRad and the weDRR, expressed as a function of the unknown adjustments of the stoichiometric calibration. This optimization can be implemented as a linear minimization if prior segmentation of the treatment planning x-ray CT is applied. Alternatively, an optimization algorithm embedding forward-projection and segmentation of the iteratively adjusted treatment planning x-ray CT can be adopted. Despite the computational advantage of a linear minimization (Collins-Fekete et al 2017, Krah et al 2019, Zhang et al 2019), the adoption of a non-linear optimization algorithm enables overcoming the limitation of the prior segmentation and the forward-projection of the treatment planning x-ray CT (Schneider et al 2005, Doolan et al 2015, Gianoli et al 2020).
Depending on the detector conguration, the trajectory is either estimated for each ion (list-mode data; Collins-Fekete et al 2017, Gianoli et al 2020) or assumed to be a straight line for each pencil beam (integration-mode data; Doolan et al 2015, Zhang et al 2019, Krah et al 2019, Gianoli et al 2020). Exact registration between the treatment planning x-ray CT and the iRad is assumed. Therefore, clinical applica­tion of the optimization of the treatment planning x-ray CT based on iRads can only rely on compensation of anatomical changes based on 2D-3D deformable image registration (DIR) for treatment planning adaptation (Palaniappan et al 2021, Palaniappan et al 2022). The use of a limited number of iRads is therefore proposed also to compensate anatomical changes in adaptive proton therapy.
The optimization of the treatment planning x-ray CT based on iRads has been investigated by excluding non-straight proton trajectories from the optimization in a pioneering imaging prototype of a list-mode detector in a dog patient (Schneider
et al 2005) or by excluding regions relevant to range mixing in real tissue samples in
an integration-mode detector (Doolan et al 2015). However, in these two works the ground truth iCT was not available, thus making the optimization of the objective function hardly interpretable as a minimization of the intrinsic inaccuracies in the optimized calibration curve. Such optimization of the treatment planning x-ray CT based on iRads has been also numerically investigated in anthropomorphic phantoms for proton list-mode data at relatively high initial beam energy (Collins-Fekete et al 2017) and regularized based on information about the inaccurate calibration curve (Zhang et al 2019) or the (actually unknown) true one (Krah et al 2019). In these studies, realistic calibration curves have been adopted as inaccurate, without controlling the applied inaccuracies. The extensive applica­tion of controlled inaccuracies with respect to the ground truth iCT has been numerically investigated in realistic Monte Carlo simulations of clinical data, for proton, helium and carbon ion pencil beams (Gianoli et al 2020). List-mode and integration-mode data have been compared. The use of a scattering model consistent to the integration-mode data has also been introduced. The robustness against controlled inaccuracies applied to the realistic calibration curve has been proven in analytical simulations of an anthropomorphic phantom. However, in clinical data the optimization of the treatment planning x-ray CT based on iRads has been
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