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# Table 2 Variable matrices optimized by nonlinear programming

From: Efficient estimation of the maximum metabolic productivity of batch systems

Variable | Shape | Description |
---|---|---|

\(\mathbf {X}\) | \((N_X, N_K, N_\text{D})\) | Nodes of the Lagrange polynomials interpolating \(\mathbf {x}(t)\) |

\(\mathbf {Y}\) | \((N_\text{F}, N_R)\) | Fractional expression of each elementary mode by stage |

\(\mathbf {A}\) | \((N_K, N_\text{D})\) | Total flux at each collocation point |

\(\mathbf {h}\) | \((N_\text{F})\) | Length of each of the finite elements within a stage |