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First, for a given steady state point is obtained a linear GPC using a linear local model of the nonlinear system around that operating point.
In the present model this implies that a given steady state is stable whenever the elasticity of the loss exceeds the elasticity of the gain g X < ℓ X.
It follows from (12), (13), and (14), that for a given steady state distribution of land holding (x,2−x), the steady state capital pair (k1, k2) solves the following system of equations Ψ ( k 1 ) = U ( Ax ) and Ψ ( k 2 ) = U ( A ( 2 − x ) ). (17).
In order to model a given steady state, the flux distribution of that state must first be determined.
Reading T-invariants as relative firing rates reproducing a given steady state allows us to identify superfluous network parts and those directions of reversible reactions not contributing to significant I/O behavior in the steady state.
A T-invariant defines a state-conserving subnetwork, i.e., (a) a network whose transitions (reactions) bring the network back to a given state, if they all took place one after another (in the specified amount), or (b) keep the network in a given (steady) state, if all transitions permanently occur (in the specified relative frequency).
Similar(52)
Particular relative proportions of the noise standard deviation and harmonic excitation amplitude are uncovered that most readily compromise the robustness of a given steady-state dynamic regime.
At a given load frequency, it is demonstrated that the average speed of fracture is independent of the load amplitude within a given steady-state domain and the number of such domains depends on the load frequency and structural heterogeneity.
There is a range of possible nonnegative weighting values associated to extreme pathways that produce a given steady-state flux distribution.
Our method takes a given steady-state metabolic flux distribution and the corresponding metabolic model, and produces a decomposition of the flux distribution into elementary flux modes.
Based on the α-spectrum [ 10], the allowable solution space of the EMCs is calculated by maximizing or minimizing each EMC in a given steady-state flux distribution as follows: for j = 1, 2,..., m Maximize λ j, subject to v = P·c, λ j ≥ 0 (j = 1, 2,..., m ), for j = 1, 2,..., m Minimize λ j, subject to v = P·c, λ j ≥ 0 (j = 1, 2,..., m ).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com