Flux-concentration duality in dynamic nonequilibrium biological networks.

Abstract:

:The structure of dynamic states in biological networks is of fundamental importance in understanding their function. Considering the elementary reaction structure of reconstructed metabolic networks, we show how appreciation of a gradient matrix, G =dv/dx (where v is the vector of fluxes and x is the vector of concentrations), enables the formulation of dual Jacobian matrices. One is for concentrations, J(x) =S x G, and the other is for fluxes, J(v) =G x S. The fundamental properties of these two Jacobians and the underlying duality that relates them are delineated. We describe a generalized approach to decomposing reaction networks in terms of the thermodynamic and kinetic components in the context of the network structure. The thermodynamic and kinetic influences can be viewed in terms of direction-driver relationships in the network.

journal_name

Biophys J

journal_title

Biophysical journal

authors

Jamshidi N,Palsson BØ

doi

10.1016/j.bpj.2009.06.049

subject

Has Abstract

pub_date

2009-09-02 00:00:00

pages

L11-3

issue

5

eissn

0006-3495

issn

1542-0086

pii

S0006-3495(09)01171-0

journal_volume

97

pub_type

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