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Figure 4 | Theoretical Biology and Medical Modelling

Figure 4

From: Bringing metabolic networks to life: integration of kinetic, metabolic, and proteomic data

Figure 4

Posterior distributions in the threonine model. Left: prior and kinetics-based posterior in the threonine model. All system kinetic parameters (energy constants k i G MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWGRbWAdaqhaaWcbaGaemyAaKgabaacbaGae83raCeaaaaa@30AF@ , velocity constants k l V MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWGRbWAdaqhaaWcbaGaemiBaWgabaacbaGae8Nvayfaaaaa@30D3@ , kM and kI values) and the equilibrium constants k i e q MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWGRbWAdaqhaaWcbaGaemyAaKgabaacbaGae8xzauMae8xCaehaaaaa@3252@ are listed on the abscissa. Black □: parameter values from the original model. Bars of different colours represent the marginal distributions (mean and standard deviation), corresponding to the arrows in the left diagram. Light blue : prior distribution of the logarithmic parameters. Red : likelihood function representing artificial experimental values with error bars. Dark blue *: kinetics-based posterior distribution. Right: true values (black □) and first, kinetics-based posterior (blue bars, *). Second, metabolics-based posterior (purple bars, ) computed from artificial data. The marginal distributions of kinetics-based and metabolics-based posteriors look quite similar.

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