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. Author manuscript; available in PMC: 2009 Apr 8.
Published in final edited form as: J Theor Biol. 2007 Dec 15;251(3):523–540. doi: 10.1016/j.jtbi.2007.12.005

Table 8.

Model input functions*

Time (min) Input Functions
t ≤15 Q = Q0, Cv,Epi = Cv,Epi,0, Ca,GLR, = Ca,GLR,0, Ca, FFA = Ca, FFA,0
Q = Q0 · (1+7.32 · (1 − e−(t-15)/62.317)))
t >15 Cv, Epi = Cv, Epi,0 + 6.837× 10−2 · (t − 15) − 1.903 × 10−3 · (t − 15)2 + 1.453× 10−5 · (t − 15)3
Ca,GLR = Ca, GLR, 0 + 7.979 · (t − 15) − 0.256 · (t − 15)2 + 0.002 · (t − 15)3
Ca, FA = Ca,FA,0 + 84.486· (t − 15) − 2.544 · (t − 15)2 + 0.02 · (t − 15)3
*

Parameters for the input functions were optimally estimated based on the data from the human in vivo study (Samra et al., 1996). Q: Blood flow to the adipose tissue; Cv,Epi: Epinephrine concentration in the vein; Ca,GLR, Ca,FA: Arterial glycerol and FA concentrations. Time courses of these input functions are shown in Figure 2.