Table 1.

Anatomical and physiological parameters used for modelling the cortical vasculature.

Parameter	Symbol	Value
Area density of arterial root points (Weber et al 2008)	$n_{\mathrm{\text{A}}}$	$3.85{\mathrm{\text{mm}}}^{-2}$
Area density of venous root points (Weber et al 2008)	$n_{\mathrm{\text{V}}}$	$2.44{\mathrm{\text{mm}}}^{-2}$
Mean perfusion in the cerebral cortex (Kretschmann et al 1986)	$\langle Q\rangle$	$78.75\ast {10}^{-2}{min}^{-1}$
Radius of arterioles at the cortical surface (Duvernoy et al 1981)	$r_{\mathrm{\text{A}}}$	$17.5\mu \mathrm{\text{m}}$
Radius of venules at the cortical surface (Duvernoy et al 1981)	$r_{\mathrm{\text{V}}}$	$32.5\mu \mathrm{\text{m}}$
Radius of arterioles and venules at terminal nodes (Weber et al 2008)	$r_{\mathrm{\text{T}}}$	$4\mu \mathrm{\text{m}}$
Mean radius of arterioles and venules (Weber et al 2008)	$\langle r\rangle$	$5.07\mu \mathrm{\text{m}}$
Mean density of arterial branching nodes (Cassot et al 2009)	$c_{\mathrm{\text{A}}}$	$155{\mathrm{\text{mm}}}^{-3}$
Mean density of venous branching nodes (Cassot et al 2009)	$c_{\mathrm{\text{V}}}$	$114{\mathrm{\text{mm}}}^{-3}$
Blood viscosity (Holsworth and Wright 2012)	$\eta$	$4\mathrm{\text{mPa}}\mathrm{\text{s}}$
Mean capillary radius (Cassot et al 2006)	${\langle r\rangle }_{\mathrm{\text{cap}}}$	$2.955\mu \mathrm{\text{m}}$
Standard deviation of capillary radius (Cassot et al 2006)	$\mathrm{\Delta }{r}_{\mathrm{\text{cap}}}$	$0.65 \mu \mathrm{\text{m}}$
Length density of capillary network (Weber et al 2008)	$d(z)$	See figure 1