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. Author manuscript; available in PMC: 2009 Oct 19.
Published in final edited form as: Nat Protoc. 2008;3(4):719–738. doi: 10.1038/nprot.2008.40

TABLE 1.

| Boundary conditions for the porous tissue construct of the length L, channel radius rc, and half distance between centers of two channels rt

Channel Tissue annulus
z = 0 0 ≤ r < rc
Ca = Cin
0 ≤ r < rt
Ct = Cin
(or ∂Ca(r,L)∂z=0)
z = L 0 ≤ r < rc
Ca = Cout
0 ≤ r < rt
Ct = Cout
(or)
Ct(r,L)=∫0rcCa(r,L)wrdr∫0rcwrdr)
0 ≤ z ≤ L r = 0
∂CL/∂r = 0
r = rt
∂Ct/∂r = 0
0 ≤ z ≤
L r = rc
Da∂Ca∂r=Dt∂Ct∂r Ca = Ct