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metabolic cycles: Effect of a Simultaneous Input and Output of Two Substrates

Journal of Biomedical Science and Engineering 2016年第13期9卷 624-637页

作者： Antonio Sillero Víctor García-Herrero Departamento de Bioquí mica Facultad de Medicina Instituto de Investigaciones Biomédicas Alberto Sols (UAM/CSIC) Arzobispo Morcillo Madrid Spain

The metabolic cycle firstly considered here is composed of a unique initial substrate, six enzymes, and five empty boxes to accommodate the substrates derived from the transformation of the initial substrate. This cycle was considered as a pre-Closed metabolic Cycle (CMC). Using this model, the influence of changing the kinetic constant values of any enzyme on the substrate concentration was explored. This model was transformed into an open metabolic cycle (OMC) by the input and output of two metabolites catalyzed by two external enzymes. In this case, the relative rates of input and output of metabolites were also examined;it can be concluded that the OMC cycles form delicate and fragile structures which can be theoretically disrupted, making them metabolically unfeasible.

关键词： metabolic cycles metabolic Regulation Kinetic Constants Differential Equations Metabolites: Input and Output

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Closed and Open metabolic cycles: Transition Time

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Journal of Biomedical Science and Engineering 2016年第2期9卷 127-140页

作者： Antonio Sillero Víctor García-Herrero Departamento de Bioquímica Facultad de Medicina Instituto de Investigaciones Biomédicas Alberto Sols UAM/CSIC Madrid Spain

A metabolic cycle can be viewed as a central core and its branches. The central core is here firstly considered as a pre-closed metabolic cycle (CMC), with a unique first substrate, but with no input or output of other components. By contrast, the metabolic cycles in nature are open metabolic cycles (OMC) with output and input of external substrates (through “metabolic branches”), modulating continuously the enzyme activities and the total concentration of their substrates thorough complex regulatory phenomena. In this work, the transition from a Closed to an Open metabolic cycle has been simulated by a consecutive entry and exit of two components through the catalytic action of two enzymes. It is known that after any alteration of the initial conditions, the cycles need a time to reach new equilibrium. We have measured the changes of transition time (T.T.) values in 81 models of CMC differing in Km or Vmax values. In general, the T.T. tends to be shorter in cycles with preponderant lower Km and higher Vmax values. Further, Mathematica refinement for the estimation of transition time from the data previously calculated can be obtained with the use of the command Interpolating Function.

关键词： metabolic cycles Equilibration Times Kinetic Constants Differential Equations Mathematica

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