By maximizing or minimizing the criterion under the constraint of fixed viscous dissipation, a velocity field and associated body force field can be obtained, which can enhance the mass transfer process to the thermodynamic limit.
All of the mentioned methods above considered enhancing the system performance by maximizing or minimizing a certain objective function constraint on power consumption at some or all nodes.
We also provide a precise condition (see Equation (33)) that establishes whether independent sources are separated by maximizing or minimizing the corresponding GA moment μ β.
To reach the FBA solution, by default the flux over the reaction that represents biomass formation is the one being maximized, since this has proven to be a good representation of the natural behaviour of microorganisms in many circumstances [ 31], but it is possible to perform simulations by maximizing or minimizing any flux of the model.
Third, FVA was carried out with GR constraints by maximizing or minimizing the fluxes of all intracellular reactions, Z(v intracellular reaction ), with additional constraints: the enforced production rate of the target bioproduct, which varied from its initial to maximum values in 10 steps, and 95% optimal cell growth rate, v biomass = 0.95 · Z(v biomass ) opt, for each step.
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 ).
The Lagrange multipliers are estimated by maximizing entropy or minimizing the corresponding objective function which is the dual problem of maximizing entropy.
Companies seek profit maximization by maximizing revenue and minimizing costs.
Furthermore, we used linear discriminant analysis (LDA) to increase the feature efficiency by maximizing and minimizing the between- and within-group variations.
This range was calculated by maximizing and minimizing the extreme pathway weighting factors, resulting in the so called α-spectrum.
They were identified by maximizing and minimizing in turn each flux under the condition that all nutrients are provided.
