Abstract:
:The nonlinear response of the simplest irreversible Michaelis-Menten enzyme is considered. In the context of metabolic networks, i.e. in vivo, the enzyme is subject to sustained, frequently time-dependent, input fluxes that keep the system out of equilibrium. The connection between the fluxes and the response is investigated by means of a new sensitivity analysis. The kinetics of the enzyme is simple enough to allow for the computations to be carried out analytically. In particular, a set of sensitivities of the response with respect to the substrate influx, the susceptibilities, is derived. The susceptibilities are multivariate functions and thus are suitable for predicting complete progress curves of several variables of biochemical interest, namely, rates and concentrations. This is shown by means of an example. The relationship between the susceptibilities and the stoichiometry of the reaction is also taken into account. Moreover, all the required information comes from decay experiments of initial concentrations, which are common in enzymological setups.
journal_name
Bull Math Bioljournal_title
Bulletin of mathematical biologyauthors
Torralba AS,Rodríguez Ydoi
10.1007/s11538-006-9111-ysubject
Has Abstractpub_date
2006-08-01 00:00:00pages
1335-53issue
6eissn
0092-8240issn
1522-9602journal_volume
68pub_type
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