From d5e09e38899811977541594b709ace62f8fc7f8a Mon Sep 17 00:00:00 2001 From: Mathieu Boudreau Date: Mon, 7 Oct 2024 11:54:05 -0300 Subject: [PATCH] Update eqs --- .../3 Magnetization Transfer Saturation/A1-Appendix A.md | 7 +++---- 1 file changed, 3 insertions(+), 4 deletions(-) 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 6a612b3..774f010 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 @@ -30,7 +30,7 @@ From the MTR protocol in Brown 2013 of the MTR blog post, 1=15 deg and TR = 0.03 :enumerated: false \begin{equation} \\ -S_{0}=0.087\frac{1.8\cdot 0.03}{\frac{0.087^{2}}{2}+0+1.8\cdot 0.03}A \\ +S_{0}=0.087\frac{1.8\cdot 0.03}{\frac{0.087^{2}}{2}+0+1.8\cdot 0.03}A \end{equation} ``` @@ -50,7 +50,6 @@ For an MT-weighted image, we get an equation as we don’t know alpha2, :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 \end{equation} ``` @@ -91,7 +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{0.024A-S_{MT}}{0.024A}\cdot 100 \text{, (from 6A1)} \end{equation} ``` ```{math} @@ -119,7 +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{0.044}{0.0047}-0.0578\text{, (refactor)} \end{equation} ``` ```{math}