---
res:
bibo_abstract:
- A central quantity for the analysis of the interdependence of control coefficients
is the Jacobian H of the pathway. For a simple metabolic chain, a is known to
be tridiagonal. Its inverse H-1, which is required to calculate control coefficients,
is semi-separable. A semi-separable n x n matrix (a(ij)) has the characteristic
property that it is-decomposable into two triangles for each of which there are
vectors r = (r(1),...,r(n)) and t = (t(1),...,t(n)) with a(ij) = r(i)t(j). The
exact definitions of semi-separability and the related separability of matrices
are given in Appendix B. Owing to the semi-separability of H-1, the determinants
of all 2 x 2 sub-matrices of elements located within one of the triangles are
zero. Therefore, these triangles are regions of vanishing two-miners. The flux
control coefficient matrix C-J is shown to be separable and the concentration
control coefficient matrix C-S to be semi-separable. C-S has, in addition, the
peculiarity that the row vector is the same for both its upper and lower triangle.
A feedback loop gives rise to a new sub-region of vanishing two-miners, thereby
disturbing the semi-separability of the upper triangle of C-S. A. recipe is given
to graphically construct the regions of vanishing two-miners of concentration
control coefficients. The notion of (semi-)separability allows assessment of all
dependences of control coefficients for metabolic pathways. (C) 1998 Academic
Press.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Ludwig
foaf_name: Elsner, Ludwig
foaf_surname: Elsner
foaf_workInfoHomepage: http://www.librecat.org/personId=10509
- foaf_Person:
foaf_givenName: Christoph
foaf_name: Giersch, Christoph
foaf_surname: Giersch
bibo_doi: 10.1006/jtbi.1998.0728
bibo_issue: '4'
bibo_volume: 193
dct_date: 1998^xs_gYear
dct_identifier:
- UT:000075771300009
dct_isPartOf:
- http://id.crossref.org/issn/0022-5193
dct_language: eng
dct_publisher: ACADEMIC PRESS LTD@
dct_title: 'Metabolic control analysis: Separable matrices and interdependence of
control coefficients@'
...