diff --git a/6 Magnetization Transfer Imaging/3 Magnetization Transfer Saturation/A1-Appendix A.md b/6 Magnetization Transfer Imaging/3 Magnetization Transfer Saturation/A1-Appendix A.md index f11221b..2408d9f 100644 --- a/6 Magnetization Transfer Imaging/3 Magnetization Transfer Saturation/A1-Appendix A.md +++ b/6 Magnetization Transfer Imaging/3 Magnetization Transfer Saturation/A1-Appendix A.md @@ -50,7 +50,7 @@ For an MT-weighted image, we get an equation as we don’t know {math}`\alpha_{2 :label: mtrEqA3 :enumerated: false \begin{equation} -S_{MT}=0.087\frac{1.8\cdot 0.03}{\frac{0.087^{2}}{2}+\frac{\alpha_{2}^{2}}{2}+1.8\cdot 0.03}A +S_{MT}=0.087\frac{\left(1.8\cdot 0.03\right)}{\frac{0.087^{2}}{2}+\frac{\alpha_{2}^{2}}{2}+1.8\cdot 0.03}A \end{equation} ``` @@ -82,7 +82,7 @@ We’d like to calculate the contribution from the MT pulse, δ. We can do this :label: mtrEqA6 :enumerated: false \begin{equation} -\text{MTR}=\frac{S_{0}-S_{MT}}{S_{0}}\cdot 100 +\text{MTR}=\frac{\left(S_{0}-S_{MT}\right)}{S_{0}}\cdot 100 \end{equation} ``` @@ -90,7 +90,7 @@ We’d like to calculate the contribution from the MT pulse, δ. We can do this :label: mtrEqA7 :enumerated: false \begin{equation} -46=\frac{0.024A-S_{MT}}{0.024A}\cdot 100 \text{, (from 6A1)} +46=\frac{0.0815A-S_{MT}}{0.0815A}\cdot 100 \text{, (from 6A1)} \end{equation} ``` ```{math} @@ -118,7 +118,7 @@ S_{MT}=0.044A\text{, (refactor)} \\ :label: mtrEqA11 :enumerated: false \begin{equation} -\delta=\frac{0.044}{0.0047}-0.0578\text{, (refactor)} +\delta=\frac{0.0047}{0.044}-0.0578\text{, (refactor)} \end{equation} ``` ```{math}