Physica

02 Imaging

Size-specific dose estimate SSDE

SSDE = f(WED) × CTDIvol. f from AAPM 204 exponential fits.

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Simulation

Size-specific dose estimate SSDE — Change the numbers; the scene follows.

Where it works

CT scanner

CT scanner

Patient

On the patient in the bore — size-specific dose uses water-equivalent diameter here.

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Formula

SSDE=f(d)CTDIvol,f32=3.70e0.0367d\mathrm{SSDE}=f(d)\,\mathrm{CTDI}_{\mathrm{vol}},\quad f_{32}=3.70\,e^{-0.0367 d}

Typical values

Variables

Results

  • f

    Conversion factor

    1.3255

  • SSDE

    Size-specific dose estimate

    15.9064mGy

Curve

Explanation

SSDE=f(d)CTDIvol,f32=3.70e0.0367d\mathrm{SSDE}=f(d)\,\mathrm{CTDI}_{\mathrm{vol}},\quad f_{32}=3.70\,e^{-0.0367 d}

What it means

CTDIvol is reported to a 16-cm (head) or 32-cm (body) phantom, not to the patient. A paediatric or slim adult is under-represented by a 32-cm CTDIvol (true dose is higher); an extra-large patient is over-represented. The conversion f(d) maps phantom CTDIvol onto the dose to a water cylinder of diameter d = WED. This is a working relation in Diagnostic imaging.

Where it is used

Clinically it sits on the CT scanner — Patient. On the patient in the bore — size-specific dose uses water-equivalent diameter here. Diagnostic equations live on the tube, the detector, and the patient: magnification, air kerma, CTDI, and why bone lights up at 70 kV. They turn a technique chart into physics you can defend.

CT scanner · Open this machine

How to use it

Enter CTDIvol (mGy), WED (cm) and phantom (16 or 32). A 16-cm toddler, CTDIvol_32 = 5 mGy, WED = 16 cm → f ≈ 2.1 → SSDE ≈ 10 mGy. Always state which phantom the scanner used. Change one input and watch the curve and the simulation follow.

Symbols

  • CTDI_volCTDIvol12 mGy
  • WEDWater-equivalent diameter28 cm
  • phantomReference phantom 16 or 3232 cm

Worked example

A typical case from the default values: CTDI_vol = 12 mGy (CTDIvol); WED = 28 cm (Water-equivalent diameter); phantom = 32 cm (Reference phantom 16 or 32). Substituting into the relation gives f = 1.3255; SSDE = 15.9064 mGy. These are teaching numbers — align them with your machine.

Typical values give

  • f = 1.3255
  • SSDE = 15.9064mGy

Where it comes from

The displayed formula is the working relation. SSDE = f(WED) × CTDIvol. f from AAPM 204 exponential fits. Usual reference: AAPM Reports 204 & 220. Derive it in the specialty lesson, then return here to pin the numbers.

Reference: AAPM Reports 204 & 220

Assumptions & limits

Exponential fit to TG204 tables, not a bilinear interpolation of the published table. SSDE is still a mean dose to a cylinder, not organ dose. Overranging and overbeaming are already inside CTDIvol to varying degrees by vendor.

Pitfalls

kVp is not the same as effective energy. CTDI is not patient dose — SSDE and organ dose come after. Do not quote DLP as if it were effective dose without a k-factor. Exponential fit to TG204 tables, not a bilinear interpolation of the published table. SSDE is still a mean dose to a cylinder, not organ dose. Overranging and overbeaming are already inside CTDIvol to varying degrees by vendor.

Keep this

Technique is physics: kV sets contrast, mAs sets noise, filtration sets the spectrum. Exponential fit to TG204 tables, not a bilinear interpolation of the published table. SSDE is still a mean dose to a cylinder, not organ dose. Overranging and overbeaming are already inside CTDIvol to varying degrees by vendor.

In this specialty

Diagnostic imaging