Table 1.

Reference table for the variables and parameters in system (2.1)–(2.5). See text for further details.

name	description
variables that alter as the simulations progress
y	vertical coordinate of the solution profile
z	horizontal coordinate of the solution profile
$\overline{y}$	vertical coordinate of the reference configuration
$\overline{z}$	horizontal coordinate of the reference configuration
yc	vertical coordinate of the cortex
zc	horizontal coordinate of the cortex
θ	solution profile normal angle measured anticlockwise from the z-axis
s	solution profile arc length
σ	reference configuration arc length
κs	longitudinal principal curvature
κϕ	azimuthal principal curvature
λs	arc length stretch ratio
Ts=yts	scaled form of the surface tension, ts, along the arc length
tϕ	surface tension along the azimuthal coordinate
Qs=yqs	scaled form of the normal shear stress, qs
parameters that are constant throughout a simulation
ΔP	pressure difference across the membrane
C	concentration of adhesions
F	adhesion force
E	adhesion extension
E0	adhesion resting length
Ec	adhesion breaking length
κ	neo-Hookean spring constant
α and β	intrinsic adhesion properties scaling the force–extension relationship
η1	rate of cortex retraction
η2	rate of membrane retraction
ρ	radius of the initial reference configuration sphere
σ0	initial reference configuration arc length
μ	relative extensibility of the membrane in the azimuthal and longitudinal directions