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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

From: Use of pathway information in molecular epidemiology

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[V max (1)/V max (0)]

ln ( K m μ / K m λ )

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[V max (1)/V max (0)] ln m μ / K m λ

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 ~ Γ 100 , 1 : N ^ = 116

3.16 (0.06)

0.161 (0.011)

0

0.215 0.010)

0

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