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MR Signal Equations - Revision history
2026-10-30T10:33:48Z
Revision history for this page on the wiki
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http://cni.su.domains/wiki/index.php?title=MR_Signal_Equations&diff=2295&oldid=prev
imported>Bobd: Created page with "* Spin Echo (assuming 90 deg flip): S = k * PD * (1 - exp(-TR / T1)) * exp(-TE / T2) * Inversion Recovery (assuming 90 deg flip): S = k * PD * (1 – 2 * exp(-TI / T..."
2013-12-03T00:06:39Z
<p>Created page with "* Spin Echo (assuming 90 deg flip): S = k * PD * (1 - exp(-TR / T1)) * exp(-TE / T2) * Inversion Recovery (assuming 90 deg flip): S = k * PD * (1 – 2 * exp(-TI / T..."</p>
<p><b>New page</b></p><div>* Spin Echo (assuming 90 deg flip): <br />
<br />
S = k * PD * (1 - exp(-TR / T1)) * exp(-TE / T2)<br />
<br />
* Inversion Recovery (assuming 90 deg flip): <br />
<br />
S = k * PD * (1 – 2 * exp(-TI / T1) + exp(-TR / T1))<br />
<br />
* Gradient Echo: <br />
<br />
S = k * PD * Sin(θ) * (1-exp(-TR/T1)) * exp(-TE/T2*) / (1-Cos(θ) * exp(-TR/T1))<br />
<br />
Parameters:<br />
<br />
k: instrumental scaling constant<br />
PD: proton density<br />
T1: longitudinal recovery rate<br />
T2: transverse decay rate (spin-spin)<br />
T2*: transverse decay rate (spin-spin + field inhomgeneities)<br />
TE: Echo Time<br />
TR: Time between repetitions<br />
TI: Inversion Time<br />
θ: Flip Angle</div>
imported>Bobd