Computer model of fetal-maternal heat exchange in sheep

We constructed and used a mathematical model of maternal-fetal heat exchange in the sheep to explore the effects of changes in certain parameters on steady-state fetal temperatures and to determine whether the fetus in the model has any potential to control its own temperature. The model took into account both fetal and placental heat production and exchange of heat in the placenta, across the fetal skin, via amniotic fluid, and through the uterine wall. The maternal ewe was assumed to be a constant temperature heat sink. Changes in placental or fetal heat production were calculated to change the ratio of heat exiting across the placenta or fetal skin significantly but to have little effect on fetal core temperature, e.g., a rise of only 0.8 degrees C was predicted after a twofold increase in fetal heat production. Fetal placental blood flow was calculated to affect fetal temperature the most of any flow, a reduction to zero causing fetal temperature to rise 5.0 degrees C. Changes in heat conductances between fetal skin and amniotic fluid, or between amniotic fluid and uterine wall, had minimal effect on fetal temperature. From the model calculations here and because heat exchange within the sheep placenta has previously been calculated to be extremely efficient, we conclude that the fetal sheep has little ability to control its temperature by changes in heat dissipated through extraplacental pathways. Thus the model predicts an effective heat clamp that closely links fetal to maternal temperature.