Relaxation Contrast Depth Scans

MRI Signal Path Choice Scan

Voxel signal stays a cited product whether transverse visibility comes directly or through an echo. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

A voxel signal is a product of cited factors

Density is fixed at 24 while recovery and transverse-source fractions change by row.

S=ρ⋅FL⋅FTS=\rho\cdot F_L\cdot F_T
Signal path rowThe final signal is a product of cited density and relaxation factors.density 24recovery 1/2transverse 5/6signal 10

Three source paths give three exact signal products

The echo row cites an echo fraction; the other rows cite direct transverse fractions.

ρFLFTS2412238241256102434129\begin{array}{c|c|c|c}\rho&F_L&F_T&S\\24&\frac{1}{2}&\frac{2}{3}&8\\24&\frac{1}{2}&\frac{5}{6}&10\\24&\frac{3}{4}&\frac{1}{2}&9\\\end{array}

The echo source path gives ten

Density 24 times recovery fraction 1/2 times echo fraction 5/6 gives signal 10.

24⋅12⋅56=1024\cdot\frac{1}{2}\cdot\frac{5}{6}=10
Signal path rowThe final signal is a product of cited density and relaxation factors.density 24recovery 1/2transverse 5/6signal 10