Skip to main content
. 2008 Nov 20;37(2):391–399. doi: 10.1124/dmd.108.022921

TABLE 1.

Reaction constants and their derivations for use during in silico modeling

Reaction Kinetic Parameters of Reaction Source of Data
r1 Hydrolysis of CDFDA (s14) to CDF (s5) within the cell Zamek-Gliszczynski et al., 2003
Sandwich culture of primary rat hepatocytes: all CDFDA was converted to CDF within 10 s. Presume this is 20 half-lives; therefore, t1/2 = 0.5 s.
For a first-order reaction, t1/2 = ln2/k. Therefore, k = 0.693/0.5 = 1.39 s-1.
r2 Passive diffusion of CDFDA (s13) into the cell. Zamek-Gliszczynski et al., 2003
Uptake clearance of 10, 100, and 500 μM CDFDA into rat hepatocytes = 4.9, 687, and 3374 μl/min/mg protein, respectively.
Assume to be a reversible first-order process, so rate = k[s]. Therefore, k ≈ 6.8 min-1.
r3 Efflux of CDF (s12) via Abcc2 into the bile canaliculi. Pratt et al., 2006 and experimentally derived
Abcc2 overexpression in human embryonic kidney cells: KM = 18.9 ± 2 μM and Vmax = 95.5 ± 14.8 pmol/min/mg protein.
Sandwich culture of primary rat hepatocytes: MK571 IC50 value at 10 μM CDFDA = 1.9 ± 3.7 μM.
r4 Uptake of CDFDA (s13) into the cell via active transport. Zamek-Gliszczynski et al., 2003; Wu and Benet, 2005
Because CDFDA is a very lipid-soluble molecule, the presence of active transport into the cell will be minimal and transport is unaltered by temperature. Discounted in the model.
r8 Binding of CDFDA (s13) to extracellular proteins. Zamek-Gliszczynski et al., 2003
In vivo CDFDA is 22% protein-bound. The model simulates the in vitro assay and because hepatocytes were dosed with CDFDA in HBSS, containing no extracellular protein, this figure will be zero.
Discounted in the model.
r10 Conversion of CDFDA (s13) to CDF (s26) outside of the cell. Zamek-Gliszczynski et al., 2003
In phosphate-buffered saline, t1/2 = 7.6 ± 0.1 h-1. For a first-order reaction, t1/2 = ln2/k. Therefore, k = 0.693/456 = 0.00152 min-1
r11 Uptake of CDF (s26) into the cell via active transport. Zamek-Gliszczynski et al., 2003
Sandwich culture of primary rat hepatocytes: uptake clearance of CDF into rat hepatocytes = 1.9 ± 0.1 μl/min/mg protein and was inhibited by low temperature (10 μM dose).
Uptake was saturable with and inhibited by substrates of organic anion-transporting polypeptides, e.g., taurocholate and rifampicin.
KM of 22 ± 10 μM and Vmax = 97 ± 9 pmol/min/mg protein.
r12 Passive diffusion of CDF (s26) into the cell. Zamek-Gliszczynski et al., 2003 and experimentally derived
Sandwich culture of primary rat hepatocytes: uptake inhibited by low temperature so mainly transporter-mediated. Octanol/water coefficient demonstrates no evidence for partition into lipid membranes.
Discounted in the model.
r13 Binding of CDF (s26) to extracellular proteins. Zamek-Gliszczynski et al., 2003
In vivo CDF is 20% protein-bound. The model simulates the in vitro assay and as hepatocytes were cultured in HBSS, containing no extracellular protein, this figure will be zero.
Discounted in the model.
r14 Efflux of CDF (26) across the sinusoidal membrane via Abcc3. Zamek-Gliszczynski et al., 2003 and experimentally derived
Sandwich culture of primary rat hepatocytes: rate of efflux is approximately a quarter of efflux via Abcc2.
Vmax ≈ 24 pmol/min/mg protein and KM ≈ 20 μM.
Sandwich culture of primary rat hepatocytes: MK571 IC50 value at 10 μM CDFDA = 1.9 ± 3.7 μM.