Fig. 4From: Estimates of the permeability of extra-cellular pathways through the astrocyte endfoot sheathEndfoot area and gap area fraction from Voronoi tessellations. (First row) endfoot area distribution (left) and resulting gap area fraction (right) for 200 realizations with \(r_{\textrm{o}} = 2.9\,\upmu \hbox {m}^{2}\) (capillary), (second row) \(r_{\textrm{o}} = 15.0\,\upmu \hbox {m}^{2}\) (venule), (third row) \(r_{\textrm{o}} = 15.0\,\upmu \hbox {m}^{2}\) (arteriole). The dashed vertical line marks the mean (capillary: \(A=50\,\upmu \hbox {m}^{2}\), \(\bar{\phi }^A_{\textrm{g}} = 0.0056\); venule: \(A=110\,\upmu \hbox {m}^{2}\), \(\bar{\phi }^V_{\textrm{g}} = 0.0038\); arteriole: \(A=490\,\upmu \hbox {m}^{2}\), \(\bar{\phi }^A_{\textrm{g}} = 0.0018\)). The quantity ’gaps/ring’ states the number of inter-cellular endfoot gaps, on average, on cross-sectional vessel cuts. The resulting gap area fraction—if this value were to be extrapolated to the total surface—is denoted by \(\phi ^\perp _{\textrm{g}}\). ’Gaps/ring’ and \(\phi ^\perp _{\textrm{g}}\) are reported for comparison with experimental data. The solid lines represent fitted continuous distributions using a Gamma distribution for the endfoot area and a normal distribution for the gap area fractionBack to article page