Oxygen exchange mechanisms in the human placenta: mathematical modelling and simulation

Area of Science:

• Physiology
• Biomedical Engineering
• Mathematical Modeling

Background:

• The precise respiratory mechanisms of the human fetus remain incompletely understood.
• The role of human placental anatomy in oxygen exchange requires further investigation.

Purpose of the Study:

• To develop a mathematical model of the placenta as an oxygen (O2) exchanger.
• To analyze oxygen exchange dynamics between maternal and fetal blood.
• To compare theoretical findings with clinical data and simulate pathological effects.

Main Methods:

• Developed a mathematical model based on diffusion laws and the haemoglobin dissociation curve.
• Incorporated laminar and turbulent flow within placental capillaries.
• Simulated the impact of variations in placental anatomical features (thickness, capillary length) on O2 exchange.

Main Results:

• The model confirmed a decrease in placental O2 exchange effectiveness throughout gestation (20th-38th weeks).
• Accurate predictions were made for oxygen exchange between the 23rd-30th weeks of gestation, a period with limited clinical data.
• Simulations indicated that the human placenta is more susceptible to pathological changes in earlier gestational stages compared to term.

Conclusions:

• The mathematical model provides a valuable tool for understanding placental O2 exchange and its changes during gestation.
• The model's findings correlate with clinical data and can be linked to echographic measurements.
• Placental vulnerability to pathologies is age-dependent, with higher sensitivity in younger placentas.