Riccardo Metere edited subsubsection_Signal_Expression_S_propto__.tex  over 8 years ago

Commit id: 7b6f2f930ff0e3e89a85ce5c5e066b14f3c14b4e

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\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