Table 1.

Model parameters, ranges and descriptions.

parameter	description	range	value	references
geometric parameters
$r_{\mathrm{s}}^{}$	spiral artery radius (µm)	—	200	[5]
$D_{\mathrm{p}}^{}$	trophoblast diameter (µm)	30–40	40	[15,23]
L	length of decidual spiral artery modelled (mm)	—	1	see text
Zp2 − Zp1	plug length (mm)	>0.115	0.5	[23,24]
Zp1	plug distance from IVS (mm)	—	0.1	—
blood flow parameters
μ	blood viscosity (Pa s)	0.003	0.003	[10,43]
ΔP	pressure drop along segment of spiral artery (mmHg)	—	55	from [10]
drag force
kd	drag constant (N s m−1)	—	1.13 × 10−6	see text
random force, Frandom
D	diffusion constant (N)	—	2.83 × 10−13	fit to data
flow force, Fflow
a	constant of proportionality (N s m−1)	—	1.13 × 10−8	fit to data
cell–wall interaction, Fcw
acw	scaling factor of the basic Fcw force function (N)	—	1.88 × 10−14	see text
bcw	maximum attractive Fcw force (N)	—	1.04 × 10−14	fit to data
r0	location of lower asymptote of force (fraction of cell diameter)	—	0.3	see text
r1	location of upper asymptote of force (fraction of cell diameter)	—	1.7	see text
cell–cell interaction, Fcc
acc	scaling factor of the basic Fcc force function (N)	—	1.88 × 10−14	see text
bcc	maximum attractive Fcc force (N)	—	7.54 × 10−16	unknown
r0	location of lower asymptote of force (fraction of cell diameter)	—	0.3	see text
r1	location of upper asymptote of force (fraction of cell diameter)	—	1.7	see text
chemotaxis, Fchem
fax	magnitude of chemoattractant force in axial direction (N)	—	1.88 × 10−16	unknown
cax	coefficient controlling the penetration depth of axial chemoattractant force into the SA lumen (no units)	—	1	unknown
frad	magnitude of chemoattractant force in radial direction (N m−1)	—	1.88 × 10−11	unknown
crad	coefficient controlling the penetration depth of radial chemoattractant force into the SA lumen (no units)	—	1	unknown