Table 3. Prior distributions of the model parameters (for one granulosa cell) to be calibrated by MCMC sampling.
Parameter (units) | Symbol | Prior distribution |
FSH effect on aromatase mRNA transcription (/pg FSH) | κCyp 19 | U (0, 1×107)a |
FSH effect on Hsd17b1 mRNA transcription (/pg FSH) | κHsd 17b1 | U (0, 1×106)a |
Maximal reaction rates Vmax (pmoles/min/pg enzyme) | ||
Aromatase | ||
A → E1 reaction | λCyp 19,A | LN (1.33×10−7, 1.2)a,b,c,d |
T → E2 reaction | λCyp 19,T | LN (1.33×10−7, 2.0)d |
Hsd17b1 | ||
A → T reaction | λHsd 17b1,A | LN (7.59×10−8, 2.0)e,f,g |
E1 → E2 reaction | λHsd 17b1,E1 | LN (1.03×10−5, 2.0)e,f,g |
Michaelis-Menten constants (pmoles) | ||
Aromatase | ||
For A | ξCyp 19,A | LN (8.10×10−9, 1.2) a,b,c,d |
For T | ξCyp 19,T | LN (3.24×10−8, 2.0)d |
Hsd17b1 | ||
For A | ξHsd 17b1,A | LN (4.32×10−5, 2.0) e,f,g |
For E1 | ξHsd 17b1,E1 | LN (5.29×10−6, 2.0) e,f,g |
Mean inter-study random effect (arbitrary unit) | µ 0 | LN (1, 2.0) |
Measurement variance for inter-study random effects | Σ 1 | HN (0.5) |
Measurement variance for data likelihood of mRNA and proteins | Σ 2 | HN (0.2) |
Measurement variance for data likelihood of hormone measurements | Σ 3 | HN (0.2) |
LN (geometric mean, geometric SD): lognormal distribution; U (min, max): uniform distribution; HN (SD): halfnormal distribution with mean at zero.
Prior distribution for Vmax and Km parameters and for FSH effects are obtained and estimated from direct measurements on granulosa cells in vitro.
Quignot et al., 2012a [20].
Odum et al., 2001 [51].
Auvray et al., 2002 [46].
Krekels et al., 1990 [52].
Ishikura et al., 2006 [53].
Renwick et al., 1981 [49].
Steckelbroeck et al., 2003 [54].