The sufficient conditions include a usual persistent excitation condition as well as an explicit upper bound on the admissible sampling time.
For networks with branching, the parametrization (6) is used to sample admissible fluxes by choosing values of the branching parameters α i j = p i j / N, where p i j, N are positive integers satisfying ∑ i p i j = N, 0 ≤ p i j < N.
In our method, the sampling of admissible fluxes can be exhaustive (for simple networks this is doable), or stochastic, using, for instance, simulated annealing in the discretized simplex of branching parameters.
In order to sample the set of admissible fluxes, we need a convenient parametrization of the admissible flux values.
Multi-parametric sensitivity analysis of biomodels is typically performed by resorting to extensive sampling of the admissible parameter space, [ 18, 19], which requires a large large computational effort and can only provide probabilistic conclusions.
The implication of Scheck's argument — that Simpson's samples were corrupted — was that properly handled samples would have yielded admissible results.
Even if the implementation of SEM with a small sample has estimated an admissible solution, it would be useful to test the proposed model in larger sample.
Discrete parameters were used to sample the cone of admissible fluxes, whereas the continuous Michaelis and maximum rates constants were obtained by local minimization of an objective function.The model was used to predict the distribution of fluxes within the network of various metabolic precursors.
As both raters and cases were a random sample of the universes of admissible raters and cases, the results may also be generalized to a test situation with any rater and patient/case within this universe.
A global optimum will be found by sampling the discretized space of admissible flux profiles.
