Any synthesis process based on a node-pair or mesh matrix must take cognizance of the sign pattern of the matrix. It is proved in general terms in this paper that: (1) the only subgraph of a connected graph G wbich need be of concern in studying the sign pattern of the node-pair (mesh) matrix is th
On the Sign Pattern of Metabolic Control Coefficients
โ Scribed by Asok K. Sen
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 178 KB
- Volume
- 182
- Category
- Article
- ISSN
- 0022-5193
No coin nor oath required. For personal study only.
โฆ Synopsis
The sign of a flux (concentration) control coefficient of an enzyme determines if the metabolic flux (metabolite concentration) will increase or decrease when the enzyme concentration is increased/decreased. In general, the sign of a control coefficient depends on the magnitudes of the enzyme elasticities, fluxes etc. It is shown that in many pathways some (or all) of the control coefficients may have fixed signs irrespective of the magnitudes of the elasticities and fluxes. The remaining control coefficients are sign-indeterminate. The enzymes and metabolites whose control coefficients are sign-indeterminate can be identified in a heuristic fashion directly from the topology of the metabolic pathway, i.e., location of feedback-feedforward loops, location of branches, presence of isoenzymes etc. In other pathways such as those containing a substrate cycle, none of the control coefficients of the enzymes can have a fixed sign; a control coefficient may be positive, negative or zero depending on the actual magnitudes of the elasticities and velocities.
๐ SIMILAR VOLUMES
A central quantity for the analysis of the interdependence of control coefficients is the Jacobian H of the pathway. For a simple metabolic chain, H is known to be tridiagonal. Its inverse H-1, which is required to calculate control coefficients, is semi-separable. A semi-separable nxn matrix (aij)
Grouping of reactions around key metabolite branch points can facilitate the study of metabolic control of complex metabolic networks. This top-down Metabolic Control Analysis is exemplified through the introduction of group (flux, as well as concentration) control coefficients whose magnitudes prov