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Riccardo Metere edited subsubsection_Signal_Expression_S_propto__.tex
over 8 years ago
Commit id: 7b6f2f930ff0e3e89a85ce5c5e066b14f3c14b4e
deletions | additions
diff --git a/subsubsection_Signal_Expression_S_propto__.tex b/subsubsection_Signal_Expression_S_propto__.tex
index d08412f..fc9defe 100644
--- a/subsubsection_Signal_Expression_S_propto__.tex
+++ b/subsubsection_Signal_Expression_S_propto__.tex
...
\subsubsection{Signal Expression}
\[
S \propto V M_0\
\mathrm{e}^{-{TE}/{T_2^*}}\ \mathrm{e}^{-{T_E}/{T_2^*}}\ \sin{\alpha}
\frac{1 -
\mathrm{e}^{-{TR}/{T_1}}}{1 \mathrm{e}^{-{T_R}/{T_1}}}{1 - \cos{\alpha}\
\mathrm{e}^{-{TR}/{T_1}}} \mathrm{e}^{-{T_R}/{T_1}}}
\]
where:
...
\item $S$: signal intensity
\item $V$: imaged volume
\item $M_0$: proton density
\item
$TE$: $T_E$: echo time
\item
$TR$: $T_R$: repetition time
\item $\alpha$: flip angle
\item $T_1$: longitudinal relaxation time
\item $T_2^*$: effective transverse relaxation time