diff --git a/3 T2 Mapping/02-Monoexponential T2 Mapping/03-Data Fitting/01-T2*.md b/3 T2 Mapping/02-Monoexponential T2 Mapping/03-Data Fitting/01-T2*.md index 77c5041..f969def 100644 --- a/3 T2 Mapping/02-Monoexponential T2 Mapping/03-Data Fitting/01-T2*.md +++ b/3 T2 Mapping/02-Monoexponential T2 Mapping/03-Data Fitting/01-T2*.md @@ -14,7 +14,7 @@ numbering: template: Eq. %s --- -Until now, we have assumed that the transverse signal (Mxy) decays exponentially with the echo time divided by the T2 constant (see [](t2Eq3)). However, in practice, other factors such as B0 inhomogeneities can cause a more rapid loss of the transverse signal; this results in a faster transverse decay, which is referred to as T2* relaxation (see [](#t2Plot1)). +Until now, we have assumed that the transverse signal (Mxy) decays exponentially with the echo time divided by the T2 constant (see [](#t2Eq3)). However, in practice, other factors such as B0 inhomogeneities can cause a more rapid loss of the transverse signal; this results in a faster transverse decay, which is referred to as T2* relaxation (see [](#t2Plot1)). The relation between T2 and T2* is described as follows (Brown et al., 2014) : diff --git a/3 T2 Mapping/03-Multiexponential T2 Mapping/03-DataFitting.md b/3 T2 Mapping/03-Multiexponential T2 Mapping/03-DataFitting.md index 0347052..debe7ad 100644 --- a/3 T2 Mapping/03-Multiexponential T2 Mapping/03-DataFitting.md +++ b/3 T2 Mapping/03-Multiexponential T2 Mapping/03-DataFitting.md @@ -14,7 +14,7 @@ numbering: template: Eq. %s --- -To fit the data for multi-exponential T2 mapping, [](t2Eq5) can be rewritten to express the signal decay in terms of the initial amplitude (Si) for each tissue component. The multi-exponential T2 signal decay is then given by : +To fit the data for multi-exponential T2 mapping, [](#t2Eq5) can be rewritten to express the signal decay in terms of the initial amplitude (Si) for each tissue component. The multi-exponential T2 signal decay is then given by : ```{math} :label: t2Eq6 diff --git a/4 B1 Mapping/02-Actual Flip Angle Imaging/02-SignalModeling.md b/4 B1 Mapping/02-Actual Flip Angle Imaging/02-SignalModeling.md index aca2de4..58ac6c0 100644 --- a/4 B1 Mapping/02-Actual Flip Angle Imaging/02-SignalModeling.md +++ b/4 B1 Mapping/02-Actual Flip Angle Imaging/02-SignalModeling.md @@ -41,7 +41,7 @@ M_{z2}=M_{0}\frac{1-e^{\frac{-\text{TR}_{1}}{_{T_{1}}}}+\left( 1- e^{\frac{-\tex \end{equation} ``` -Mz1,2 is the longitudinal magnetization of both pulses, M0 is the magnetization at thermal equilibrium, TR1 is the delay time after the first pulse, TR2 is the delay time after the second identical pulse ([](afiFig1)), and θ is the excitation flip angle. The steady-state longitudinal magnetization Mz curves for different T1 values for a range of θn and TR values are shown in [](#afiPlot1). +Mz1,2 is the longitudinal magnetization of both pulses, M0 is the magnetization at thermal equilibrium, TR1 is the delay time after the first pulse, TR2 is the delay time after the second identical pulse ([](#afiFig1)), and θ is the excitation flip angle. The steady-state longitudinal magnetization Mz curves for different T1 values for a range of θn and TR values are shown in [](#afiPlot1). ```{figure} #afiFig1cell :label: afiPlot1