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2 T1 Mapping/1-2 Variable Flip Angle/02-VFA_SignalModelling.md

@@ -45,6 +45,7 @@ Signal curves simulated using Bloch simulations (orange) for a number of repetit
 
 Sufficient spoiling is likely the most challenging parameter to control for in a VFA experiment. A combination of both gradient spoiling and RF phase spoiling {cite:p}`Handbook2004,Zur1991` are typically recommended (Figure 4). It has also been shown that the use of very strong  gradients, introduces diffusion effects (not considered in Figure 4), further improving the spoiling efficacy in the VFA pulse sequence {cite:p}`Yarnykh2010`.
 
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 :::{figure} #figvfa4cell
 :label: vfaPlot3
 Signal curves estimated using Bloch simulations for three categories of signal spoiling: (1) ideal spoiling (blue), gradient & RF Spoiling (orange), and no spoiling (green). Simulations details: TR = 25 ms, T<sub>1</sub> = 900 ms, T<sub>e</sub> = 100 ms, TE = 5 ms, 100 spins. For the ideal spoiling case, the transverse magnetization is set to zero at the end of each TR. For the gradient & RF spoiling case, each spin is rotated by different increments of phase (2𝜋 / # of spins) to simulate complete decoherence from gradient spoiling, and the RF phase of the excitation pulse is  ɸ<sub><i>n</i></sub> = ɸ<sub><i>n</i>-1</sub> + <i>n</i>ɸ<sub>0</sub> = ½ ɸ<sub>0</sub>(<i>n</i><sup>2</sup> + <i>n</i> + 2) {cite:p}`Handbook2004` with ɸ<sub>0</sub> = 117° {cite:p}`Zur1991` after each TR.