Table 3.

Model parameters and their meaning with known and estimated values where applicable.

Parameter	Meaning	Value	Source
D_LE free (D_LE_1)	Diffusion coefficient of free delphinidin between lumen and endothelial cytoplasm	0.5 μm/min	Reasonable prediction
D_LE encapsulated ( D_LE_2)	Diffusion coefficient of encapsulated delphinidin between lumen and endothelial	34.8 μm/min	Bandara et al., 2007
r_L	Luminal radius	1.2 μm	Estimated from histology
J_max	Maximum diffusion flux	2.42 pmol /min.dm	Bandara et al., 2007
D_EM	Diffusion coefficient between endothelial cytoplasm and outer membrane	1.89 μm/min	Bandara et al., 2007
r_E	Endothelial radius	3.9 μm	Estimated from histology
K_M	The Michaelis constant	1.50 μM	Bandara et al., 2007
C_M	The concentration in the surrounding brain tissue	1 μM	Bandara et al., 2007
k_1	The rate of release of delphinidin from endothelial cells' cytoplasm	0.01 /min	Dunn et al., 2006
k_2	The rate of p-gp uptake of delphinidin from endothelial cells' cytoplasm	0.035 /min	Dunn et al., 2006
k	Maximum transport rate due to p-gp pumping	0.21 μmol/min	Evans et al., 2009
t_start	Initial time	0 min	Nominal value
t_stop	Finish time	20 min	Nominal value