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. 2006 Oct 10;34(11):1729–1744. doi: 10.1007/s10439-006-9169-6

TABLE 1.

O2 diffusion constants in different zones of the micro models.

Region in the micro model D0 [10−9 m2/s] ρcell [106 cells/ml] φ Inline graphic Deff [10−9 m2/s]
Cult. med. Plasma Cult. med. Plasma
No hepatocytes
    Inter-capillary space 2.92 2.18 0 0 1 2.92 2.18
    In mat 2.48 1.85 0 0 1 2.48 1.85
Cell distribution 1
    In mat 2.48 1.85 53.7 0.172 0.75 1.87 1.41
Cell distribution 2
    In mat 2.48 1.85 31.7 0.102 0.85 2.11 1.59
    In hepatocyte cell layer around capillaries – part in mat zone 2.48 1.85 81.7 0.262 0.64 1.59 1.22
    In hepatocyte cell layer around capillaries – part in inter-capillary space 2.92 2.18 81.7 0.262 0.64 1.86 1.41

The ratio of the effective diffusion constant to the free diffusion constant Deff/D0 is calculated from the local free oxygen diffusion constant D0 and the local cell volume fraction φ using Eq. 3. The local effective diffusion coefficients Deff in culture medium and plasma per region are presented in the last column.