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Effects of thyroid disease on glucose oxidative metabolism in man. A compartmental model analysis

David M. Shames, Mones Berman and Stanton Segal

1Mathematical Research Branch, and Clinical Endocrinology Branch, National Institute of Arthritis and Metabolic Diseases, Bethesda, Maryland 20014

Published March 1971

Glucose oxidation to CO2 in man at the fasted, steady state has been investigated in normal, hypothyroid, patients by monitoring the specific activity of plasma glucose and expired CO2 after intravenous injection of glucose-1-14C, glucose-6-14C, and sodium bicarbonate-24C in tracer amounts. Making certain stoichiometric assumptions about the oxidation of the C-1 and C-6 carbons of glucose to CO2, the data are incorporated into a multicompartmental model describing the kinetics of plasma glucose, plasma bicarbonate, and the conversion of glucose to CO2 by the hexose monophosphate pathway and all other series and parallel pathways which oxidize glucose carbon to CO2 (EMP-TCA). This formulation separates the distribution kinetics of glucose and bicarbonate from the kinetics of glucose oxidation to CO2. It allows the calculation of a minimal fraction (ϕt) of glucose irreversibly oxidized to CO2 which is based entirely on the duration of the experimental data. This calculation is independent of the extrapolative implications of the model beyond the experimental interval and of the particular model chosen to fit the data. All modeling and data fitting were performed on a digital computer with the SAAM program.

Based on a 300 min experiment the analysis suggests that in hypothyroidism there is a decrease in the rate of glucose metabolized irreversibly (ρG). There is also a decrease in the minimal fraction (ϕ300) which is completely oxidized to CO2 by way of the EMP-TCA. ρG and ϕ300 are 0.56 and 0.42 mmole/min respectively as compared to 0.89 and 0.50 mmole/min respectively in normals. However, the fraction of the C-1 of glucose metabolized irreversibly which undergoes oxidation to CO2 by the hexose monophosphate pathway (Ψ) is not different from normal (0.07 and 0.07 respectively). The hyperthyroid studies suggest that ρG and ϕ300 are within the normal range (1.01 and 0.46 mmoles/min respectively as compared to 0.89 and 0.50 mmole/min respectively in normals). However, Ψ is decreased to less than half the normal value (0.03 as compared to 0.07 in normals).

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