30.01.2015 Views

The Design of Diagnostic Medical Facilities where ... - ResearchGate

The Design of Diagnostic Medical Facilities where ... - ResearchGate

The Design of Diagnostic Medical Facilities where ... - ResearchGate

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

R D(t)<br />

= . t D(0) × t<br />

Equation 5.8<br />

T<br />

= 1.443×<br />

t<br />

½<br />

×<br />

1−<br />

exp<br />

− 0.693t<br />

T<br />

½<br />

<strong>where</strong> D(t) = Total dose (μSv) over a time t at 1 m from the patient<br />

Ḋ(0) = Dose rate (μSv/h) at 1 m at the time <strong>of</strong> administration,<br />

given by the product <strong>of</strong> the dose rate constant for the patient<br />

(0.092 μSvm 2 /MBqh for 18 F) and the administered activity A 0<br />

(MBq)<br />

t = Time (min) <strong>of</strong> interest<br />

T ½<br />

= Half life (min) <strong>of</strong> the radionuclide<br />

For 18 F, this corresponds to R t<br />

factors <strong>of</strong> 0.91, 0.83, and 0.76 for t = 30, 60, and 90 min, respectively.<br />

Decay before Imaging<br />

Because <strong>of</strong> the decay since the administration <strong>of</strong> the radionuclide (uptake phase), the activity in the patient<br />

at the commencement <strong>of</strong> imaging is decreased by<br />

F = exp<br />

u<br />

-0.693t<br />

T<br />

½<br />

u<br />

Equation 5.9<br />

<strong>where</strong> t u<br />

is the uptake time (min) and T ½<br />

is the half life (min)<br />

Physiological decay<br />

In most cases the patient will void prior to imaging, removing approximately 15% <strong>of</strong> the administered activity<br />

and thereby decreasing the dose rate by 0.85.<br />

Calculation <strong>of</strong> exposure at a boundary<br />

Equation 5.7 may be used for the calculation <strong>of</strong> total exposure at a boundary, a distance d metres, from the<br />

patient.<br />

Uptake room<br />

<strong>The</strong> total dose (μSv), at a distance d (m), from a patient during the uptake time, t u<br />

(min), will be given by<br />

R<br />

D(t<br />

u<br />

) = D(0)<br />

. × tu<br />

×<br />

d<br />

tu<br />

2<br />

Equation 5.10<br />

64<br />

<strong>The</strong> <strong>Design</strong> <strong>of</strong> <strong>Diagnostic</strong> <strong>Medical</strong> <strong>Facilities</strong> <strong>where</strong> Ionising Radiation is used

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!