Proton Computed Tomography
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Proton computed tomography (pCT), or proton CT, is an imaging modality first proposed by Cormack in 1963 and initial experiment explorations identified several advantages over conventional X-ray CT (xCT). However, particle interactions such as multiple
Coulomb scattering Coulomb scattering is the elastic scattering of charged particles by the Coulomb interaction. The physical phenomenon was used by Ernest Rutherford in a classic 1911 paper that eventually led to the widespread use of scattering in particle phy ...
(MCS) and (in)elastic nuclear scattering events deflect the
proton A proton is a stable subatomic particle, symbol , Hydron (chemistry), H+, or 1H+ with a positive electric charge of +1 ''e'' (elementary charge). Its mass is slightly less than the mass of a neutron and approximately times the mass of an e ...
trajectory, resulting in nonlinear paths which can only be approximated via
statistical assumption Statistics, like all mathematical disciplines, does not infer valid conclusions from nothing. Inferring interesting conclusions about real statistical populations almost always requires some background assumptions. Those assumptions must be made c ...
s, leading to lower
spatial resolution In physics and geosciences, the term spatial resolution refers to distance between independent measurements, or the physical dimension that represents a pixel of the image. While in some instruments, like cameras and telescopes, spatial resoluti ...
than
X-ray tomography A computed tomography scan (CT scan), formerly called computed axial tomography scan (CAT scan), is a medical imaging technique used to obtain detailed internal images of the body. The personnel that perform CT scans are called radiographers or ...
. Further experiments were largely abandoned until the advent of proton
radiation therapy Radiation therapy or radiotherapy (RT, RTx, or XRT) is a therapy, treatment using ionizing radiation, generally provided as part of treatment of cancer, cancer therapy to either kill or control the growth of malignancy, malignant cell (biology), ...
in the 1990s which renewed interest in the topic due to the potential benefits of imaging and treating patients with the same particle.


Description

Proton computed tomography (pCT) uses measurements of a proton's position/
trajectory A trajectory or flight path is the path that an object with mass in motion follows through space as a function of time. In classical mechanics, a trajectory is defined by Hamiltonian mechanics via canonical coordinates; hence, a complete tra ...
and
energy Energy () is the physical quantity, quantitative physical property, property that is transferred to a physical body, body or to a physical system, recognizable in the performance of Work (thermodynamics), work and in the form of heat and l ...
before and after traversing an object to reconstruct an image of the object where each
voxel In computing, a voxel is a representation of a value on a three-dimensional regular grid, akin to the two-dimensional pixel. Voxels are frequently used in the Data visualization, visualization and analysis of medical imaging, medical and scient ...
represents the relative stopping power (RSP) of the material composition of the corresponding region of the object. The deviations of a proton's path inside the object are primarily due to interactions between the Coulomb fields of the
proton A proton is a stable subatomic particle, symbol , Hydron (chemistry), H+, or 1H+ with a positive electric charge of +1 ''e'' (elementary charge). Its mass is slightly less than the mass of a neutron and approximately times the mass of an e ...
and the nuclei in the absorbing material, resulting in many small-angle deflections as it passes through the object.
Statistical model A statistical model is a mathematical model that embodies a set of statistical assumptions concerning the generation of Sample (statistics), sample data (and similar data from a larger Statistical population, population). A statistical model repre ...
s of the effect of MCS on the trajectory of a proton were developed to calculate the most likely path (MLP) of a proton given its entry and exit position/
trajectory A trajectory or flight path is the path that an object with mass in motion follows through space as a function of time. In classical mechanics, a trajectory is defined by Hamiltonian mechanics via canonical coordinates; hence, a complete tra ...
and corresponding uncertainty at intermediate depths within the object. Additional (in)elastic nuclear scattering events can also occur which cause larger angle deviations, which cannot easily be modeled, but these are fairly easy to identify and remove from consideration in the image reconstruction process. With an approximate path of a proton through the object, one can then identify the voxels through which the proton passed, and the difference between entry and exit energy indicates the energy collectively deposited in these voxels. Assuming there are J voxels in the image, the distance, \Delta l_j, the proton travels through each voxel j\in J varies along the path and the amount of energy deposited in each voxel, \Delta E_h, depends on this and the voxel's RSP, x_j. The total energy loss E is the
line integral In mathematics, a line integral is an integral where the function (mathematics), function to be integrated is evaluated along a curve. The terms ''path integral'', ''curve integral'', and ''curvilinear integral'' are also used; ''contour integr ...
of RSP scaled by the intersection length, or E=\int x_j\Delta l_j


References


Further reading

* * * * * * * "Use of Protons for Radiotherapy", A.M. Koehler, Proc. of the Symposium on Pion and Proton Radiotherapy, Nat. Accelerator Lab., (1971). * * "Bragg Peak Proton Radiosurgery for Arteriovenous Malformation of the Brain" R.N. Kjelberg, presented at First Int. Seminar on the Use of Proton Beams in Radiation Therapy, Moscow (1977). * Austin-Seymor, M.J. Munzenrider, et al. "Fractionated Proton Radiation Therapy of Cranial and Intracrainial Tumors" ''American Journal of Clinical Oncology'' 13(4):327–330 (1990). * "Proton Radiotherapy", Hartford, Zietman, et al. in ''Radiotheraputic Management of Carcinoma of the Prostate'', A. D'Amico and G.E. Hanks. London, UK, Arnold Publishers: 61–72 (1999).


External links


Proton therapy
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MedlinePlus MedlinePlus is an online information service produced by the United States National Library of Medicine. The service provides curated consumer health information in English and Spanish with select content in additional languages. The site brings ...
Medical Encyclopedia
Proton Therapy

"Proton therapy is coming to the UK, but what does it mean for patients?"
Arney, Kat, Science blog,
Cancer Research UK Cancer Research UK (CRUK) is the world's largest independent cancer research organisation. It is registered as a charity in the United Kingdom and Isle of Man, and was formed on 4 February 2002 by the merger of The Cancer Research Campaign and t ...
, 16 September 2013 {{DEFAULTSORT:Proton therapy Radiation therapy Medical physics Proton