Final answer:
The scan time in a 3D volume acquisition is approximately 2140.16 seconds.
Step-by-step explanation:
To calculate the scan time in a 3D volume acquisition, we need to consider the parameters given:
- TR (Repetition Time) = 24 ms
- TE (Echo Time) = 7 ms
- Flip Angle = 15°
- FOV (Field of View) = 20 cm
- Slice Thickness = 2 mm
- Number of Slices = 76
- Matrix Size = 176 x 256
- NEX (Number of Excitations) = 1
First, we need to calculate the total time for one repetition (TR) using the formula:
TR = TR + TE + (TR / NEX)
Substituting the given values:
TR = 24 ms + 7 ms + (24 ms / 1)
TR = 55 ms
Next, we calculate the total time for one slice:
Total Time for One Slice = TR * (Matrix Size / NEX)
Substituting the given values:
Total Time for One Slice = 55 ms * (176 x 256 / 1)
Total Time for One Slice = 28.16 s
Finally, we calculate the scan time for the entire 3D volume acquisition:
Scan Time = Total Time for One Slice * Number of Slices
Substituting the given values:
Scan Time = 28.16 s * 76
Scan Time = 2140.16 s
Therefore, the scan time in a 3D volume acquisition, based on the given parameters, would be approximately 2140.16 seconds.