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. 2019 Aug 16;9(5):20190021. doi: 10.1098/rsfs.2019.0021

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© 2019 The Authors.

Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited.

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Figure 4. — The effect of nonlinear uptake kinetics on solute transport. (a) The coloured symbols show the solute uptake N which is delivered to the fetus, plotted against the inlet–outlet pressure drop ΔP, for specimen 3. For comparison, the solid lines with matched colours show the solute metabolized by villous tissue for the same specimen. All curves are plotted for the same maximum rate of oxygen metabolism q_max = 0.1 mol/(m³ · s), which we identify as a physiological value in metabolizing tissue (table 1). The different curves show changes in the parameter c₅₀, spanning from predominantly zeroth-order (red symbols and curve) to predominantly first-order (yellow symbols and curve) uptake kinetics. Intersections in the inset, marked P₁ and P₂, show where the metabolized oxygen flux balances the flux delivered to fetal blood. (b) The flux partitioning ratio N_tissue/N_total of the solute flux metabolized by the villous tissue to the total flux of solute entering the terminal villus (for c₅₀/c_mat = 0.02; see appendix A). The flux partitioning ratio depends strongly on the flow regime. (Online version in colour.)