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Update workflows.rst
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tsalo committed Dec 21, 2023
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16 changes: 8 additions & 8 deletions docs/workflows.rst
Original file line number Diff line number Diff line change
Expand Up @@ -446,28 +446,28 @@ Equation 2:

.. math::
&= 0 \hfill \text{(if } 0 < LD + PLD < ATT)
&= 0 \hfill 0 < LD + PLD < ATT
\Delta{M}_tiss &= \frac{ 2 \cdot \alpha \cdot \alpha_{BS} \cdot T_{1b} \cdot M_{0a} \cdot CBF \cdot
e ^ -\frac{ ATT } { T_{1,blood} } \cdot \left[
e ^ { -\frac{ ATT } { T_{1,blood} } } \cdot \left[
1 - e ^ {-\frac{ LD + PLD - ATT } { T_{1,tissue} }}
\right] }{ 6000 } \hfill \text{(if } ATT < LD + PLD < ATT + LD)
\right] }{ 6000 } \hfill ATT < LD + PLD < ATT + LD
&= \frac{ 2 \cdot \alpha \cdot \alpha_{BS} \cdot T_{1b} \cdot M_{0a} \cdot CBF \cdot
e ^ -\frac{ PLD } { T_{1,blood} } \cdot \left[
e ^ { -\frac{ PLD } { T_{1,blood} } } \cdot \left[
1 - e ^ {-\frac{ LD } { T_{1,tissue} }}
\right] }{ 6000 } \hfill \text{(if } ATT < PLD)
\right] }{ 6000 } \hfill ATT < PLD
Equation 4:

.. math::
&= 0
&= 0 \hfill 0 < LD + PLD < aBAT
\Delta{M}_{art} &= 2 \cdot \alpha \cdot \alpha_{BS} \cdot M_{0b} \cdot aBV \cdot
e ^ -\frac{ aBAT } { T_{1,blood} }
e ^ { -\frac{ aBAT } { T_{1,blood} } } \hfill aBAT < LD + PLD < aBAT + LD
&= 0
&= 0 \hfill aBAT < PLD
For multi-delay PCASL data, the following steps are taken:

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