Table 4.

Results of Markov chain Monte Carlo fitting of single-compartment models with homocysteine as an unobserved intermediate metabolite, created at a rate depending on SAHH (λ) and removed at a rate depending on CBS (μ), applied to the simulation taking homocysteine concentration as the causal variable

Model	Ln(β)	λ		μ
		Mean	SD	Mean	SD
Linear:
λ, μ fixed	1.63 (0.13)	0.152 (0.030)	0	0.226 (0.031)	0
λ, μ random	1.55 (0.13)	0.178 (0.029)	0.079 (0.024)	0.256 (0.037)	0.082 (0.021)
Michaelis-Menten:
λ, μ fixed: ln(μ0/λ0) ln[Vmax(1)/Vmax(0)] $\mathsf{\text{ln}}\left(K_m^{\mu }/K_m^{\lambda }\right)$	2.77 (0.13)	0 0.058 (0.010) 0	0 0 0	0.765 (0.037) 0.086 (0.010) -0.743 (0.042)	0 0 0
γs random: ln(μ0/λ0) ln[Vmax(1)/Vmax(0)] $\mathsf{\text{ln}}\left({}_m^{\mu },/,K_m^{\lambda }\right)$	2.99 (0.06)	0 0.061 (0.011) 0	0 0.023 (0.005) 0	1.022 (0.002) 0.091 (0.001) -1.008 (0.001)	0.007 (0.001) 0.003 (0.001) 0.005 (0.001)
Stochastic differential equations:
N = 10 fixed	1.22 (0.07)	0.209 (0.016)	0	0.273 (0.014)	0
$N~\Gamma \left(100,1\right):\widehat{N}=116$	3.16 (0.06)	0.161 (0.011)	0	0.215 0.010)	0

CBS, cystathionine b-synthase; SAHH, S-adenosylhomocysteine.