Table 1 Parameters and settings for numerical simulations

B₀

3 Tesla

Main static magnetic field

Hct

0.4 (dimensionless ratio)

Blood hematocrit

Y

0.6 (dimensionless ratio)

Oxygenation level = [0,1]

χ_do

0.27 × 4π ppm (SI metrics)

= χ_dexoy - χ_oxy

NAB

NAB(x, y, z) Gaussian ellipsoid

Neuroactive blob (Eq(1))

V(x, y, z)

Binary volume (radii = [2, 10] μm)

Cortical vasculature (Eq(2))

FOV: D₀ × D₀ × D₀

2 × 2 × 2 mm³

Cortical field of view

FOV support matrix

2048 × 2048 × 2048

Digital geometry (1 μm grid)

voxel: d₀× d₀× d₀

32 × 32 × 32, 64 × 64 × 64, 128 × 128 × 128

Three voxel sizes (1 μm grid)

C[x_n, y_n, z_n;T_E]

64 × 64 × 64, 32 × 32 × 32, 16 × 16 × 16

Complex multivoxel image

A[x_n, y_n, z_n;T_E]

Assuming non-negative

MR magnitude image(Eq(9))

P[x_n, y_n, z_n;T_E]

Assuming positive/zero/negative

MR phase image (Eq(9))

corrA

In a range of [0, 1]

Magnitude mapping (Eq(10)

corrP

In a range of [0, 1]

Phase mapping (Eq(11))

T_E

In a range of [0, 60] ms

Gradient echo time