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Table 1 Parameter values

From: Computational modelling of bovine ovarian follicle development

  Parameter Simulation value Reference value References
Parameter values directory from the literature Λ(0) 5 mm 4-5 mm [20]
v 2.3 × 10−5 mm s−1 10 mm in 5 days [20]
D H 6.7 × 10−5 mm2 s−1 Average 6.7 × 10−5 mm2 s−1 for FSH [21, 22]
D S 10−4 mm2 s−1 Small molecule Diff coeff 10−4 mm2 s−1 [23, 24]
D C L 2 × 10−8 mm2 s−1 1.9 ± 1 × 10−8 mm2 s−1 [25]
D R 10−7 mm2 s−1 10−9−5×10−7 mm2 s−1 [2629]
D I 4 × 10−9 mm2 s−1 IGF receptor complex almost immobile [26]
k on 10−3 nM−1s−1 Standard value [30]
k off F 5 × 10−4 s−1 Average: K D  = 5 × 10−10M−1 [3136]
k off L 10−2 s−1 K D  = 9 nM [37]
k off E 10−4 s−1 K D  = 0.1 nM [38]
δ F 10−5 s−1 Half-life of FSH in ovariectomized ewes is 20 h [39]
δ L 5 × 10−4 s−1 Half-life of LH in ovariectomized rats is 23 minutes [40]
δ R F = δ R L 3 × 10−5 s−1 Measured decay rate 3 × 10−5 s−1 [41]
δ C L 7.5 × 10−4 s−1 Half-life LH/hCG-bound receptor 17 min [4042],
δ C F = δ C E = δ E = δ A 6.4 × 10−5 s−1 Half-life is about 3 hours [39, 4346]
δ I 1.2 × 10−6 s−1 Half-life  10 hours [4749]
ρ R F = ρ R L 500 × 0.5 pM s−1 21 receptors/cell/min = 500 × 0.5 pM s−1 [7, 41, 5052]
ρ E 0.06 s−1 k cat  = 0.06 s−1 [53, 54]
K M 44 nM K M  = 44 nM [53, 54]
ρ F 2 nM FSH concentration  2 nM, flux Δ = 1 s−1 [55]
ρ L 0.4 ρ F LH concentration 40 % of that of FSH [56]
Adapted ρ R E 1.25 pM s−1 45000 estrogen receptors are detected per cell [57]
ρ I 2.8 K I δ I Reproduce measured granulosa LH receptor numbers (≤ 3 nM) [7]
ρ A 100 nM Reproduce androgen concentration in follicular fluid [55, 58]
K I 5 μ M Reproduce estradiol concentration in follicular fluid [55, 58]
Figure3 K L 500 × 10 pM Reproduce steepness of expression kinetics in Figure3A Figure3A
K F 500 × 3 nM Reproduce steepness of expression kinetics in Figure3B Figure3B
K E 35 nM Reproduce steepness of expression kinetics in Figure3B Figure3B
ϑ 0.2 Reproduce ordinate intercept in Figure3C Figure3C
  I(0) 0.3K I Θ Reproduce ordinate intercept in Figure3A Figure3A
  1. The table summarizes all parameter values used in the model along with the evidence. For details see the Parameters Section. In addition to the listed parameters we used F(0) = L(0) = E(0) = A(0) = R i (0) = C i (0) = 0 as initial conditions, Δ = 1 s−1 as exchange rate with the blood, and n = 2 as Hill coefficient. It should be noted that the factor 500 for the FSH and LH receptor production rates and Hill constants reflects the smaller membrane compartment ( 2.5 μ m3) compared to the entire cell (1140 μ m3[59]).