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Nuclear medicine imaging: PET and SPECT

Biomedical Engineering (B.E./B.Tech) · Medical imaging · free study notes for exams, placements and interviews

In short

Nuclear medicine imaging maps function rather than anatomy: a radiopharmaceutical is given to the patient, it concentrates where a physiological process is active, and the gamma rays it emits are detected outside the body to form an image. SPECT (single photon emission computed tomography) detects single gamma photons (typically 140 keV from Tc-99m) through a mechanical collimator; PET (positron emission tomography) detects the two back-to-back 511 keV photons from positron annihilation in electronic coincidence, so it needs no collimator and is far more sensitive and quantitative. The topic is examined in Medical Imaging, Radiation Physics and Biomedical Instrumentation papers, in GATE Biomedical Engineering (BM) under "nuclear imaging / radiation detectors", and in AMIE/university B.E. papers. In India it underpins work at Tata Memorial/ACTREC, AIIMS, PGIMER, SGPGI, HCG, Apollo and Fortis nuclear medicine departments, at BRIT (Board of Radiation and Isotope Technology) and Jubilant Radiopharma, and in service/application roles with GE Healthcare, Siemens Healthineers and Philips. All such facilities are licensed and regulated by the AERB under the Atomic Energy Act, 1962.

Explained

Physics of the signal

Radionuclides and radiopharmaceuticals

SPECT: the gamma camera and tomography

Anger (scintillation) camera chain - in order:

  1. Collimator - a lead plate with thousands of holes that accepts only photons travelling nearly perpendicular to the crystal. It defines direction mechanically and rejects >99.9% of photons, which is why SPECT sensitivity is low (~10⁻⁴).
    • Types: parallel-hole (most common; constant size, FOV = detector size), converging (magnifies, small organs), diverging (minifies), pinhole (high resolution for thyroid, small animal).
    • Grades by energy/resolution: LEHR (low-energy high-resolution), LEAP/LEGP (general purpose), ME and HE (medium/high energy for I-131, Ga-67). Resolution and sensitivity trade off against each other.
  2. Scintillator - NaI(Tl) crystal, typically 9.5 mm (3/8 in) thick, 40-55 cm across; high light output, hygroscopic, needs hermetic sealing. Converts a gamma photon into ~38 visible photons per keV.
  3. Light guide and PMT array - 37-91 photomultiplier tubes (increasingly position-sensitive PMTs or CZT solid-state detectors, which give direct conversion, better energy resolution and a compact camera).
  4. Anger position logic - X and Y computed as the PMT-signal-weighted centroid; Z (energy) = sum of all PMT signals.
  5. Pulse-height analyser (PHA) - a ~20% energy window around 140 keV rejects scattered (lower-energy) photons.
  6. Corrections and display - energy, linearity and uniformity correction maps, then matrix (64², 128², 256²) framing.

SPECT acquisition and reconstruction

PET: coincidence detection and reconstruction

Quantification, image quality and QC

Dose, safety and the Indian regulatory frame

Key points

Formulas and examples

A(t) = A₀ e−λt = A₀ · 2−t/T½ — A = activity (Bq), λ = decay constant (s⁻¹), T½ = physical half-life, λ = ln2/T½ = 0.693/T½
1/T_eff = 1/T_phys + 1/T_biol ; T_eff = (T_phys × T_biol)/(T_phys + T_biol) — hours
E = m₀c² = 511 keV per annihilation photon ; two photons, 180° ± 0.25°
I = I₀ e−μx — I = transmitted intensity, μ = linear attenuation coefficient (cm⁻¹), x = thickness (cm). Attenuation correction factor ACF = e+μx
Collimator resolution R_c = d (L_eff + b) / L_eff — d = hole diameter (mm), L_eff = effective hole length, b = source-to-collimator distance (mm)
System resolution R_sys = √(R_c² + R_i²) — R_i = intrinsic camera resolution (FWHM, mm)
PET detector-pair resolution at centre ≈ d/2 (d = crystal width); full FWHM ≈ 1.25 √[(d/2)² + b² + (0.0022 D)² + r²] — b = block decoding error, D = ring diameter (mm), r = positron range
Randoms rate R = 2 τ S₁ S₂ — τ = coincidence window (s), S = singles rates (counts/s)
TOF position uncertainty Δx = c Δt / 2 — c = 3 × 10⁸ m/s, Δt = coincidence timing resolution (s)
NEC = T² / (T + S + k·R) — T, S, R = true, scatter, random rates; k = 2 (randoms measured by delayed-window subtraction, which adds noise) or k = 1 (low-noise randoms estimated from singles rates)
SUV = C_lesion / (A_inj / W) — C_lesion in kBq/mL, A_inj in kBq (decay-corrected to scan time), W = body weight in g
SNR = √N (Poisson) ; activity unit: 1 mCi = 37 MBq

Example 1 - F-18 decay between dispensing and scan. 555 MBq of FDG is dispensed at 07:00; the patient is scanned at 09:00. T½ = 109.7 min.

Example 2 - effective half-life of Tc-99m DTPA. Physical T½ = 6.01 h, biological clearance T½ = 24 h (renal).

Example 3 - SPECT system resolution. LEHR collimator: d = 1.5 mm, L_eff = 40 mm; organ at b = 100 mm from the collimator face; intrinsic R_i = 3.8 mm.

Example 4 - attenuation and randoms in PET. (a) A 20 cm water path at 511 keV, μ = 0.096 cm⁻¹: transmission = e−0.096 × 20 = e−1.92 = 0.1466, so ACF ≈ 6.8 - only ~15% of true coincidences survive. (b) Singles rates S₁ = S₂ = 1.0 × 10⁶ cps, τ = 6 ns: R = 2 × 6 × 10⁻⁹ × (10⁶)² = 2 × 6 × 10⁻⁹ × 10¹² = 12,000 cps. Halving τ to 3 ns halves randoms to 6,000 cps - hence the drive for fast crystals. (c) TOF Δt = 400 ps: Δx = 3 × 10⁸ × 400 × 10⁻¹² / 2 = 0.12/2 = 0.06 m = 6 cm FWHM along the LOR.

Example 5 - SUV of a lung lesion. Injected 370 MBq FDG (decay-corrected to scan time), body weight 70 kg, measured lesion concentration 40 kBq/mL.

FeatureSPECTPET
Photon detectedSingle gamma, 70-360 keVTwo 511 keV in coincidence
CollimationMechanical (lead collimator)Electronic (coincidence)
Typical nuclideTc-99m (6.01 h)F-18 (109.7 min), Ga-68 (67.7 min)
ProductionGenerator / reactorCyclotron / generator
DetectorNaI(Tl) + PMT, or CZTLSO/LYSO + PMT or SiPM
Resolution (clinical)8-12 mm4-6 mm
Sensitivity~10⁻⁴ of emitted photons100-1000× SPECT
QuantificationSemi-quantitativeQuantitative (SUV, kinetic modelling)
Scan time20-40 min per field10-25 min whole body
Cost of study (India, approx.)₹4,000-₹12,000₹15,000-₹30,000
ScintillatorDensity (g/cm³)Light output (rel. NaI)Decay time (ns)Use
NaI(Tl)3.67100%230Gamma camera, SPECT
BGO7.1315%300Older PET
LSO / LYSO7.1-7.470-75%40Modern PET, TOF
GSO6.7130%60PET
CZT (semiconductor)5.8direct conversion-Cardiac SPECT, molecular breast imaging

Where it is used

Interview questions

Common mistakes

Related topics

X-ray imaging basics · CT and MRI basics · Ultrasound basics · Medical image processing · Radiation safety and AERB · Biomedical instrumentation and radiation detectors

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