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Fix enumerators
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mathieuboudreau committed Oct 3, 2024
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2 changes: 1 addition & 1 deletion 2 T1 Mapping/1-1 Inversion Recovery/01-introduction.md
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Expand Up @@ -20,6 +20,6 @@ Inversion recovery was first developed for NMR in the 1940s [@Hahn1949;@Drain194

```{figure} img/ir_pulsesequences.svg
:label: irFig1
:enumeration: 1.1
:enumerator: 1.1
Pulse sequence of an inversion recovery experiment.
```
4 changes: 2 additions & 2 deletions 2 T1 Mapping/1-1 Inversion Recovery/02-IR_SignalModelling.md
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Expand Up @@ -33,15 +33,15 @@ The simplicity of the signal model described by Eq. 1.3, both in its equation an

:::{figure} #fig2p2cell
:label: irPlot1
:enumeration: 1.2
:enumerator: 1.2
Inversion recovery curves (Eq. 1.2) for three different T1 values, approximating the main types of tissue in the brain.
:::

Practically, Eq. 1.1 is the better choice for simulating the signal of an inversion recovery experiment, as the TRs are often chosen to be greater than 5T<sub>1</sub> of the tissue-of-interest, which rarely coincides with the longest T<sub>1</sub> present (e.g. TR may be sufficiently long for white matter, but not for CSF which could also be present in the volume). Equation 1.3 also assumes ideal inversion pulses, which is rarely the case due to slice profile effects. [](#irPlot2) displays the inversion recovery signal magnitude (complete relaxation normalized to 1) of an experiment with TR = 5 s and T<sub>1</sub> values ranging between 250 ms to 5 s, calculated using both equations.

:::{figure} #fig2p3cell
:label: irPlot2
:enumeration: 1.3
:enumerator: 1.3
Signal recovery curves simulated using Eq. 1.3 (solid) and Eq. 1.1 (dotted) with a TR = 5 s for T1 values ranging between 0.25 to 5 s.
:::

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4 changes: 2 additions & 2 deletions 2 T1 Mapping/1-1 Inversion Recovery/03-IR_DataFitting.md
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Expand Up @@ -24,7 +24,7 @@ where <i>a</i> and <i>b</i> are complex values. If magnitude-only data is availa

:::{figure} #fig2p4cell
:label: irPlot3
:enumeration: 1.4
:enumerator: 1.4
Fitting comparison of simulated data (blue markers) with T_1 = 1 s and TR = 1.5 to 5 s, using fitted using RD-NLS & Eq. 1.4 (green) and Levenberg-Marquardt & Eq. 1.2 (orange, long TR approximation).
:::

Expand All @@ -34,7 +34,7 @@ Fitting comparison of simulated data (blue markers) with T_1 = 1 s and TR = 1.5

:::{figure} #fig2p5cell
:label: irPlot4
:enumeration: 1.5
:enumerator: 1.5
Example inversion recovery dataset of a healthy adult brain (left). Inversion times used to acquire this magnitude image dataset were 30 ms, 530 ms, 1030 ms, and 1530 ms, and the TR used was 1550 ms. The T<sub>1</sub> map (right) was fitted using a RD-NLS algorithm.
:::

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Expand Up @@ -21,7 +21,7 @@ One important protocol design consideration is to avoid acquiring at inversion t

:::{figure} #fig2p6cell
:label: irPlot5
:enumeration: 1.6
:enumerator: 1.6
Monte Carlo simulations (mean and standard deviation (STD), blue markers) and fitted T<sub>1</sub> values (mean and STD, red and green respectively) generated for a T<sub>1</sub> value of 900 ms and 5 TI values linearly spaced across the TR (ranging from 1 to 5 s). A bump in T<sub>1</sub> STD occurs near TR = 3000 ms, which coincides with the TR where the second TI is located near a null point for this T<sub>1</sub> value.
:::

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