Table 1 Spectral DWI parameters with corresponding hypothesized physiologic interpretation in the kidney cortex.

From: Detecting early kidney allograft fibrosis with multi-b-value spectral diffusion MRI

Compartment

Spectral parameters

Physiologic interpretation

Vascular: Vasculature in the kidney

cortex is composed of blood vessels

including arteries, veins, and capillaries.

\({f_{vasc}}\)

Fraction of a voxel that is within

blood vessels.

\({D_{vasc}}\)

Diffusion coefficient, or speed, of the

blood travelling within the vessels

(\({D^*}\) in conventional IVIM).

\(f{D_{vasc}}\)

Proxy for the total blood flow in the

vasculature; \(f{D_{vasc}}={f_{vasc}} \times {D_{vasc}}\)

. (\(f{D^*}\) in conventional IVIM).

Tubular: Kidney tubules in the nephrons filter

the glomerular filtrate and return nutrients to

blood through reabsorption. The remaining

fluid and waste become urine. In the cortex

there are glomeruli and convoluted tubules.

\({f_{tubule}}\)

Fraction of a voxel that is within these

tubules (no parameters in conventional IVIM).

\({D_{tubule}}\)

Diffusion coefficient of the tubular filtrate

(no parameters in conventional IVIM).

\(f{D_{tubule}}\)

Proxy for the total tubular flow in the renal

tubules; \(f{D_{tubule}}={f_{tubule}} \times {D_{tubule}}\)

(no parameters in conventional IVIM)

Tissue Parenchyma: The kidney contains

solid tissue, vascular endothelial cells, and

tubular epithelial cells. Diffusion in the tissue

parenchyma includes passive diffusion

across cell membranes, and within the

extracellular matrix (ECM) of the kidney

parenchyma. Fibrosis in the kidney is a

pathological feature that occurs when there

is an excessive ECM accumulation leading

to scarring and renal dysfunction.

\({f_{tissue}}\)

Fraction of a voxel that is composed of these

solid cells in the kidney parenchyma with and

without ECM accumulation. (\(1 - f\) in IVIM).

\({D_{tissue}}\)

Diffusion coefficient of molecules within the

parenchyma and composed of tissue both

with and without ECM accumulation.

\(f{D_{tissue}}\)

Proxy for the total restricted diffusive flow

within solid tissue structure, cells, and

in ECM scarring. \(f{D_{tissue}}={f_{tissue}} \times {D_{tissue}}\)

(the (\(1 - f)D\) in IVIM).

  1. Within the kidney cortex there are glomeruli, convoluted tubules, collecting ducts, and blood vessels. Conventional IVIM parameters are f and \({D^*}\) for \({f_{vasc}}\) and \({D_{vasc}}\), and D for \({D_{tissue}}\); there is no tubular component.