Hydraulic resistance of periarterial spaces in the brain

Table 1 Dimensional parameters, residuals, nondimensional parameters, and hydraulic resistance of our model fit to periarterial spaces visualized in vivo

Label	\(r_1\) (μm)	\(r_2\) (μm)	\(r_3\) (μm)	\(A_{art}\) (μm²)	\(A_{pas}\) (μm²)	c (μm)	d (μm)	\(A_{out} / A_{pas}\)
b	19.92	42.1	8.09	1169	1059	− 0.0428	5.23	0.036
c	152.9	449	113.7	66,300	158,000	− 67.6	14.84	0.045
d	16.53	58.6	16.67	742	2670	− 4.18	6.55	0.089
e	4.63	6.83	5.42	59.2	113.5	− 0.513	−4.61	0.024
f	7.21	23.3	15.40	155.0	1120	0.1192	−5.74	0.024

Label	\(A_{in} / A_{pas}\)	\(\alpha \)	\(\beta \)	K	\(\epsilon _x\)	\(\epsilon _y\)	\(r_1^4 \mathcal {R} / \mu \)	\(\mathcal {R}_\circ /\mathcal {R}\)
b	0.024	2.11	0.406	0.388	− 0.00215	0.263	48.0	6.45
c	0.045	2.94	0.744	1.36	− 0.442	0.0971	3.56	2.75
d	0.244	3.54	1.008	2.71	− 0.253	0.396	1.01	1.62
e	0.094	1.476	1.172	1.18	− 0.1109	− 0.997	3.30	4.29
f	0.146	3.24	2.14	5.93	0.0165	−0.797	0.173	1.38

Labels correspond to panel labels in Fig. 1. The last column gives the ratio of the hydraulic resistance \(\mathcal {R}_\circ \) of a circular annulus with the same area ratio K to the value \(\mathcal {R}\) computed for the specified geometry

ISSN: 2045-8118