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Proton computed tomography

Proton computed tomography is a computer science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Proton computed tomography rather than just read about it. In short: 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 (MCS) and (in)elastic nuclear scattering events deflect the proton trajectory, resulting in nonlinear paths which can only be approximated via stat…

Key takeaways

  • Proton computed tomography belongs to computer science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Proton computed tomography to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Proton computed tomography from memory before moving on to harder problems.

Reference excerpt

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 (MCS) and (in)elastic nuclear scattering events deflect the proton trajectory, resulting in nonlinear paths which can only be approximated via statistical assumptions, leading to lower spatial resolution than X-ray tomography. Further experiments were largely abandoned until the advent of proton radiation therapy 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 and energy before and after traversing an object to reconstruct an image of the object where each voxel 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 and the nuclei in the absorbing material, resulting in many small-angle deflections as it passes through the object. Statistical models 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 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 {\displaystyle J} voxels in the image, the distance, Δ l j {\displaystyle \Delta l_{j}} , the proton travels through each voxel j ∈ J {\displaystyle j\in J} varies along the path and the amount of energy deposited in each voxel, Δ E h {\displaystyle \Delta E_{h}} , depends on this and the voxel's RSP, x j {\displaystyle x_{j}} . The total energy loss E {\displaystyle E} is the line integral of RSP scaled by the intersection length, or

E = ∫ x j Δ l j {\displaystyle E=\int x_{j}\Delta l_{j}}

References

Further reading Hanson, K M; Bradbury, J N; Cannon, T M; Hutson, R L; Laubacher, D B; et al. (1981-11-01). "Computed tomography using proton energy loss". Physics in Medicine and Biology. 26 (6). IOP Publishing: 965–983. Bibcode:1981PMB....26..965H. doi:10.1088/0031-9155/26/6/001. ISSN 0031-9155. PMID 6275424. Hanson, K M; Bradbury, J N; Koeppe, R A; Macek, R J; Machen, D R; et al. (1982-01-01). "Proton computed tomography of human specimens". Physics in Medicine and Biology. 27 (1). IOP Publishing: 25–36. Bibcode:1982PMB....27...25H. doi:10.1088/0031-9155/27/1/003. ISSN 0031-9155. PMID 6280213. Zygmanski, Piotr; Gall, Kenneth P; Rabin, Monroe S Z; Rosenthal, Stanley J (2000-01-25). "The measurement of proton stopping power using proton-cone-beam computed tomography". Physics in Medicine and Biology. 45 (2). IOP Publishing: 511–528. Bibcode:2000PMB....45..511Z. doi:10.1088/0031-9155/45/2/317. ISSN 0031-9155. PMID 10701518. Schulte, Reinhard W.; Bashkirov, Vladimir; Loss Klock, Márgio C.; Li, Tianfang; Wroe, Andrew J.; et al. (2005-03-22). "Density resolution of proton computed tomography". Medical Physics. 32 (4). Wiley: 1035–1046. Bibcode:2005MedPh..32.1035S. doi:10.1118/1.1884906. ISSN 0094-2405. PMID 15895588. Li, Tianfang; Liang, Zhengrong; Singanallur, Jayalakshmi V.; Satogata, Todd J.; Williams, David C.; Schulte, Reinhard W. (2006-02-22). "Reconstruction for proton computed tomography by tracing proton trajectories: A Monte Carlo study". Medical Physics. 33 (3). Wiley: 699–706. Bibcode:2006MedPh..33..699L. doi:10.1118/1.2171507. ISSN 0094-2405. PMC 1550979. PMID 16878573. Greco C.; Wolden S. (Apr 2007). "Current status of radiotherapy with proton and light ion beams". Cancer. 109 (7): 1227–38. doi:10.1002/cncr.22542. PMID 17326046. "Use of Protons for Radiotherapy", A.M. Koehler, Proc. of the Symposium on Pion and Proton Radiotherapy, Nat. Accelerator Lab., (1971). Koehler, A. M.; Preston, W. M. (1972). "Protons in Radiation Therapy". Radiology. 104 (1). Radiological Society of North America (RSNA): 191–195. doi:10.1148/104.1.191. ISSN 0033-8419. PMID 4624458. "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—MedlinePlus 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, 16 September 2013

Worked examples

Example 1 — a first encounter with Proton computed tomography

Start with the simplest possible case. Write down what Proton computed tomography claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In computer science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Proton computed tomography before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Proton computed tomography ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Proton computed tomography

In research
Proton computed tomography appears in computer science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Proton computed tomography in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Proton computed tomography is common in secondary-school and first-year university syllabi. It links to neighbouring topics Medical physics, Proton, Radiation therapy, so understanding it makes those chapters shorter.
In everyday life
Look for Proton computed tomography outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Proton computed tomography in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Proton computed tomography means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Proton computed tomography out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Proton computed tomography in simple terms?

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 (MCS) and (in)elastic nucle…

Why does Proton computed tomography matter?

Because it connects several computer science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Proton computed tomography?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Proton computed tomography.

Tags

  • Medical physics
  • Proton
  • Radiation therapy

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