Flip angle-optimized fast dynamic T1 mapping with a 3D gradient echo sequence.

Purpose: To analyze the flip angle dependence and to optimize the statistical precision of a fast three-dimensional (3D) T1 mapping technique based on the variable flip angle (VFA) method. The proposed single flip angle (1FA) approach acquires only a single 3D spoiled gradient echo data set for each time point of the dynamical series in combination with a longer baseline measurement.

Theory And Methods: The optimal flip angle for the dynamic series can be calculated as αdyn,opt  = arccos[(2E1  - 1)/(2 - E1 )] (with E1  = exp(-TR /T1 )) by minimizing the statistical error of T1 .