306 7.8  Biomedical Physics Tools

Improvements to detection for use in dynamic functional imaging can be made with

contrast rearrangements in a similar way to MRI. A good example of CT/​CAT functioning

imaging is in diagnosing gut disorders. These investigations involve the patient swallowing a

suitable x-​ray contrast reagent (e.g., a barium meal) prior to scanning.

7.8.3  SINGLE-​PHOTON EMISSION CT AND POSITRON EMISSION TOMOGRAPHY

Nuclear imaging involves the use of gamma ray detection instead of x-​rays, which are emitted

following the radioactive decay of a radionuclide (also known as tracer or radioisotope), which

can be introduced into the human body to bind to specific biomolecules. They are valuable

functional imaging technologies. Single-​photon emission CT (SPECT) works on similar 2D

scanning and 3D reconstruction principles to CAT/​CT and MRI scanning. Although there

are several different radionuclides that can be used, including iodine-​123, iodine-​131, and

indium-​111, by far, the most commonly used is technetium-​99m. This has a half-​life of ~6 h

and has been applied to various diagnostic investigations, including scanning of glands, the

brain and general nerve tissue, white blood cell distributions, the heart and the bone, with a

spatial resolution of ~1 cm.

There is an issue with the global availability of technetium-​99m and, in fact, with a variety

of other less commonly used radionuclides applied to biomedicine, referred to as the techne­

tium crisis; in 2009 two key nuclear research reactors, in the Netherlands and Canada, were

closed down, and these were responsible for generating ca. two-​thirds of the global supply

of molybdenum-​99, which decays to form technetium-​99m. There are other technologies

being investigated to plug this enormous gap in supply, for example, using potentially cheaper

linear particle accelerators, but at the time of writing, the sustainable and reliable supply of

technetium-​99m in particular seems uncertain.

Positron emission tomography (PET) works on similar gamma ray detection principles

to SPECT, but instead utilizes positron radionuclide emitters to bring about gamma ray

emission. Positrons are the antimatter equivalent of electrons that can be emitted from

the radioactive decay of certain radionuclides, the most commonly used being carbon-​11,

nitrogen-​13, oxygen-​15, fluorine-​18, and rubidium-​82 (all of which decay with relatively

short half-​lives in the range ~1–​100 min to emit positrons), which can be introduced into

the human body to bind to specific biomolecules in a similar way to radionuclides used in

SPECT. Emitted positrons, however, will annihilate rapidly upon interaction with an elec­

tron in the surrounding matter, resulting in the emission of two gamma ray photons whose

directions of propagation are oriented at 180° to each other. This straight line of coinci­

dence is particularly useful, since by detecting these two gamma rays simultaneously (in

practice requiring a detector sampling time precision of <10−9 s), it is possible to determine

very accurately the line of response for the source of the positrons, since this line itself is

oriented randomly, and so by intersecting several such lines, the source of the emission

in 3D space can be determined, with a spatial resolution better than that of SPECT by a

factor of ~2.

Time-​of-​flight PET (TOF PET) determines the difference δt in the arrival times of

the two gamma ray photons generated from positron-​electron annihilation produced at

a 180° orientation. Multiple detectors are placed in a ring around the biological tissue

sample (which can be a live human, since this is a very valuable new medical imaging

technology), which has been doped with a positron emitter inside the scanner. To pin­

point the source of emission from the sample, with coincident signals detected at a rate

of a few hundred MBq for typical doped samples (where 1 Bq is the SI unit of radio­

activity corresponding to 1 disintegration per second) and sampled at GHz rates, the

spatial displacement x is ct/​2 where δt is the detection of coincidence timing resolution

and c is the speed of light.

The rate of random coincidences k2 from two identical gamma ray detectors oriented

at 180° from each other, each with a random single detector rate k1 during a sample time

interval Δt is