From 4e8d5048a565c9520b3ec8ef7c804d3a0dd63e25 Mon Sep 17 00:00:00 2001
From: Peder Larson <peder.larson@ucsf.edu>
Date: Wed, 11 Dec 2024 15:05:45 -0800
Subject: [PATCH] minor edits

---
 Notebooks/Key MRI Concepts.md | 8 ++++++++
 1 file changed, 8 insertions(+)

diff --git a/Notebooks/Key MRI Concepts.md b/Notebooks/Key MRI Concepts.md
index 4fcf976..3129085 100644
--- a/Notebooks/Key MRI Concepts.md	
+++ b/Notebooks/Key MRI Concepts.md	
@@ -109,16 +109,24 @@ Contrast Agents
 Pulse Characteristics
 * pulse profile - approximately proportional to the Fourier Transform of the pulse shape
 * flip angle
+
 $$\theta = \gamma \int_0^{T_{rf}} b_1(\tau) d\tau $$
+
 * Time-bandwidth product - constant for a given pulse shape
+
 $$ TBW = T_{rf} \cdot BW_{rf} $$
+
 * SAR
+
 $$ SAR \propto \int_0^{T_{rf}} |b_1(\tau)|^2 d\tau $$
 
 Slice Selection
 * Slice thickness
+
 $$ \Delta z = \frac{BW_{rf}}{\bar{\gamma} G_{Z,SS}} $$
+
 * Slice shifting
+
 $$ f_{off} = \bar{\gamma} G_{Z,SS} \  z_{off} $$
 
 ## Spatial Encoding