Optimal villi density for maximal oxygen uptake in the human placenta

TL;DR

This study introduces a stream-tube model to determine the optimal villi density in the human placenta that maximizes oxygen uptake, balancing oxygen flow and absorption surface, with potential applications in placental health assessment.

Contribution

The paper presents a novel computational model predicting an optimal villi density for oxygen transfer, aligning with experimental data and enabling placental health diagnostics.

Findings

Optimal villi density is approximately 0.47 with a standard deviation of 0.06.

The model predicts a trade-off between oxygen flow and villus surface area.

Validation methods for the model are proposed.

Abstract

We present a stream-tube model of oxygen exchange inside a human placenta functional unit (a placentone). The effect of villi density on oxygen transfer efficiency is assessed by numerically solving the diffusion-convection equation in a 2D+1D geometry for a wide range of villi densities. For each set of physiological parameters, we observe the existence of an optimal villi density providing a maximal oxygen uptake as a trade-off between the incoming oxygen flow and the absorbing villus surface. The predicted optimal villi density $0.47\pm0.06$ is compatible to previous experimental measurements. Several other ways to experimentally validate the model are also proposed. The proposed stream-tube model can serve as a basis for analyzing the efficiency of human placentas, detecting possible pathologies and diagnosing placental health risks for newborns by using routine histology sections collected after birth.