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<p class="MsoNormal"><span style="color:#1F497D">Thanks very much, Hangyi.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D"><o:p>&nbsp;</o:p></span></p>
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<p class="MsoNormal"><b><span style="font-size:10.0pt;font-family:&quot;Tahoma&quot;,&quot;sans-serif&quot;">From:</span></b><span style="font-size:10.0pt;font-family:&quot;Tahoma&quot;,&quot;sans-serif&quot;"> mristudio-users-bounces@mristudio.org [mailto:mristudio-users-bounces@mristudio.org]
<b>On Behalf Of </b>Hangyi Jiang<br>
<b>Sent:</b> Thursday, February 14, 2013 2:44 PM<br>
<b>To:</b> DTI Studio, ROI Editor, DiffeoMap Questions/Support<br>
<b>Subject:</b> Re: [Mristudio-users] difference between ADC and MD<o:p></o:p></span></p>
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<p class="MsoNormal"><o:p>&nbsp;</o:p></p>
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<p class="MsoNormal" style="margin-bottom:12.0pt"><span style="font-size:10.0pt;font-family:&quot;Tahoma&quot;,&quot;sans-serif&quot;;color:black"><br>
some papers may use ADC for Averaging Diffusion Coefficient (</span><span style="font-size:10.0pt;font-family:&quot;Tahoma&quot;,&quot;sans-serif&quot;;color:#1F497D">synonymously with MD</span><span style="font-size:10.0pt;font-family:&quot;Tahoma&quot;,&quot;sans-serif&quot;;color:black">).&nbsp;&nbsp; We
 don't use it in this way, it is so easy to get confused.<br>
<br>
I cannot say it is not right to use ADC as a&nbsp; synonymous term of MD (language changes all the time, :) ).&nbsp; but in the very beginning, ADC means apparent diffusion coefficient.<br>
<br>
best,<br>
<br>
hangyi<br>
<br>
<br>
<br>
<br>
<o:p></o:p></span></p>
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<p class="MsoNormal" style="margin-bottom:12.0pt"><b><span style="font-size:10.0pt;font-family:&quot;Tahoma&quot;,&quot;sans-serif&quot;;color:black">From:</span></b><span style="font-size:10.0pt;font-family:&quot;Tahoma&quot;,&quot;sans-serif&quot;;color:black">
<a href="mailto:mristudio-users-bounces@mristudio.org">mristudio-users-bounces@mristudio.org</a> [mristudio-users-bounces@mristudio.org] on behalf of Venkatesh Rajagopalan [VRajagopalan@kesslerfoundation.org]<br>
<b>Sent:</b> Thursday, February 14, 2013 2:27 PM<br>
<b>To:</b> 'DTI Studio, ROI Editor, DiffeoMap Questions/Support'<br>
<b>Subject:</b> Re: [Mristudio-users] difference between ADC and MD</span><span style="font-size:12.0pt;font-family:&quot;Times New Roman&quot;,&quot;serif&quot;;color:black"><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="color:#1F497D">Hangyi,</span><span style="color:black"><o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D">&nbsp;</span><span style="color:black"><o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D">Sorry again though. In some manuscripts ADC is used synonymously with MD, so this is wrong, right?.</span><span style="color:black"><o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D">&nbsp;</span><span style="color:black"><o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D">Thanks</span><span style="color:black"><o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D">Venkat</span><span style="color:black"><o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D">&nbsp;</span><span style="color:black"><o:p></o:p></span></p>
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<p class="MsoNormal"><b><span style="font-size:10.0pt;font-family:&quot;Tahoma&quot;,&quot;sans-serif&quot;;color:black">From:</span></b><span style="font-size:10.0pt;font-family:&quot;Tahoma&quot;,&quot;sans-serif&quot;;color:black">
<a href="mailto:mristudio-users-bounces@mristudio.org">mristudio-users-bounces@mristudio.org</a> [<a href="mailto:mristudio-users-bounces@mristudio.org">mailto:mristudio-users-bounces@mristudio.org</a>]
<b>On Behalf Of </b>Hangyi Jiang<br>
<b>Sent:</b> Thursday, February 14, 2013 2:12 PM<br>
<b>To:</b> DTI Studio, ROI Editor, DiffeoMap Questions/Support<br>
<b>Subject:</b> Re: [Mristudio-users] difference between ADC and MD</span><span style="color:black"><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="color:black">&nbsp;<o:p></o:p></span></p>
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<p class="MsoNormal" style="margin-bottom:12.0pt"><span style="font-size:10.0pt;font-family:&quot;Tahoma&quot;,&quot;sans-serif&quot;;color:black">hi,<br>
<br>
apparent diffusion coefficient (ADC) is a measurement for a diffusion weighted image in a specific gradient. its definition is:<br>
<br>
ADC = ln(S/S0) / (-b)<br>
here, S is the gradient weighted image, S0 is the B0 image, b is the b value.<br>
<br>
so, if a data set has 30 gradient orientations, there will be 30 ADCs.&nbsp; for each gradient, there will be a ADC map for this particular DW-image.<br>
<br>
<br>
mean- diffusivity is defined as the mean value of eigen values (Lamda 1-3) of the tensor ellipsoid:<br>
Mean_Diffusivity = (Lamda_1 &#43; Lamda_2 &#43; Lamda_3) / 3;<br>
<br>
mathematically, this is equal to the average of the diagonal elements of the tensor matrix:<br>
Mean_Diffusivity =&nbsp; (Dxx &#43; Dyy &#43; Dzz) / 3;<br>
<br>
in noise-free situation (practically, it is impossible), mean-diffusivity is also equal to the mean value of ADCs of the DWI data set.<br>
e.g. given a data set with 30 orientations, then Mean_Diffusivity = (ADC1 &#43; ADC2 &#43; .. ADC30) / 30;<br>
<br>
BTW: the sum of eigen-values or the sum of the diagonal elements of the tensor matrix is called TRACE:<br>
TRACE =&nbsp; (Lamda_1 &#43; Lamda_2 &#43; Lamda_3) = (Dxx &#43; Dyy &#43; Dzz);<br>
<br>
so, Mean_Diffusivity = TRACE/3;<br>
<br>
<br>
best,<br>
<br>
hangyi<br>
<br>
<br>
</span><span style="color:black"><o:p></o:p></span></p>
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<p class="MsoNormal" style="margin-bottom:12.0pt"><b><span style="font-size:10.0pt;font-family:&quot;Tahoma&quot;,&quot;sans-serif&quot;;color:black">From:</span></b><span style="font-size:10.0pt;font-family:&quot;Tahoma&quot;,&quot;sans-serif&quot;;color:black">
<a href="mailto:mristudio-users-bounces@mristudio.org" target="_blank">mristudio-users-bounces@mristudio.org</a> [mristudio-users-bounces@mristudio.org] on behalf of Venkatesh Rajagopalan [VRajagopalan@kesslerfoundation.org]<br>
<b>Sent:</b> Thursday, February 14, 2013 1:40 PM<br>
<b>To:</b> 'DTI Studio, ROI Editor, DiffeoMap Questions/Support'<br>
<b>Subject:</b> [Mristudio-users] difference between ADC and MD</span><span style="color:black"><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="color:black">Hi All,<o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:black">&nbsp;<o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:black">I very often come across apparent diffusion coefficient and mean diffusivity being measured in studies. I am wondering what is the difference between these two measures in terms of the formula used.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:black">&nbsp;<o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:black">Thanks<o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:black">Venkat<o:p></o:p></span></p>
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