deploy: 4e8d504

Key MRI Concepts.html

@@ -562,20 +562,31 @@ <h2>RF Pulses<a class="headerlink" href="#rf-pulses" title="Permalink to this he
 <p>Pulse Characteristics</p>
 <ul class="simple">
 <li><p>pulse profile - approximately proportional to the Fourier Transform of the pulse shape</p></li>
-<li><p>flip angle
-$<span class="math notranslate nohighlight">\(\theta = \gamma \int_0^{T_{rf}} b_1(\tau) d\tau \)</span>$</p></li>
-<li><p>Time-bandwidth product - constant for a given pulse shape
-$<span class="math notranslate nohighlight">\( TBW = T_{rf} \cdot BW_{rf} \)</span>$</p></li>
-<li><p>SAR
-$<span class="math notranslate nohighlight">\( SAR \propto \int_0^{T_{rf}} |b_1(\tau)|^2 d\tau \)</span>$</p></li>
+<li><p>flip angle</p></li>
 </ul>
+<div class="math notranslate nohighlight">
+\[\theta = \gamma \int_0^{T_{rf}} b_1(\tau) d\tau \]</div>
+<ul class="simple">
+<li><p>Time-bandwidth product - constant for a given pulse shape</p></li>
+</ul>
+<div class="math notranslate nohighlight">
+\[ TBW = T_{rf} \cdot BW_{rf} \]</div>
+<ul class="simple">
+<li><p>SAR</p></li>
+</ul>
+<div class="math notranslate nohighlight">
+\[ SAR \propto \int_0^{T_{rf}} |b_1(\tau)|^2 d\tau \]</div>
 <p>Slice Selection</p>
 <ul class="simple">
-<li><p>Slice thickness
-$<span class="math notranslate nohighlight">\( \Delta z = \frac{BW_{rf}}{\bar{\gamma} G_{Z,SS}} \)</span>$</p></li>
-<li><p>Slice shifting
-$<span class="math notranslate nohighlight">\( f_{off} = \bar{\gamma} G_{Z,SS} \  z_{off} \)</span>$</p></li>
+<li><p>Slice thickness</p></li>
 </ul>
+<div class="math notranslate nohighlight">
+\[ \Delta z = \frac{BW_{rf}}{\bar{\gamma} G_{Z,SS}} \]</div>
+<ul class="simple">
+<li><p>Slice shifting</p></li>
+</ul>
+<div class="math notranslate nohighlight">
+\[ f_{off} = \bar{\gamma} G_{Z,SS} \  z_{off} \]</div>
 </section>
 <section id="spatial-encoding">
 <h2>Spatial Encoding<a class="headerlink" href="#spatial-encoding" title="Permalink to this heading">#</a></h2>

_sources/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