Kathryn Hirst

Effects of Insulin and Glucose Concentrations on Glucose Utilization in Fetal Sheep

ABSTRACT: Glucose and insulin clamp experiments were performed in vivo in chronically catheterized, late-gestation fetal lambs to quantify the effects of glucose and insulin on fetal glucose metabolism. Fetal glucose uptake from the placenta via the umbilical circulation (umbilical glucose uptake) was measured by application of the Fick principle, and fetal glucose utilization rate (GUR) was measured using [U-14C]glucose tracer. Fetal plasma insulin concentrations ranged from 2 to 119 μU·ml−1 and fetal blood glucose concentrations ranged from 7.3 to 62.6 mg·dl−1. GUR varied from 2.82 to 15.12 mg/min/kg and the exogenous glucose entry rate (umbilical glucose uptake + glucose infusion) varied from 2.46 to 13.95 mg/min/kg. The mean GUR [6.53 ± 0.28 (SEM) mg/kg/min] was not different from the mean exogenous glucose entry rate [6.29 ± 0.30 (SEM) mg/kg/min]. Multiple linear regression analysis on a glucose-by-insulin surface demonstrated a best-fit model of fetal glucose utilization following the quadratic equation: GUR = −0.322 + [0.289 (glucose)] + [0.108 (insulin)] - [0.00319 (glucose)2] - [0.000673 (insulin)2], r = 0.883 (all terms significant at p < 0.02). This model predicted a GURmax of 10.56 mg/min/kg at blood glucose concentration = 45.3 mg/dl and plasma insulin concentration = 80 μU/ml and Km values for blood glucose concentration and plasma insulin concentration of 20.6 mg/dl and 10 μU/ml, respectively. According to this model, the glucose and insulin effects were additive. Furthermore, change in GUR was not proportionate to change in glucose concentration, accounting for a decreasing metabolic clearance rate at higher glucose concentrations. These results demonstrate the three-dimensional nature of the simultaneous additive effects of glucose and insulin on glucose utilization. These results also serve to emphasize that comparative studies of insulin and glucose metabolism in fetal lambs must be conducted at similar concentrations of glucose to avoid inaccurate estimates of the magnitude of insulin effect on glucose metabolism.

On nonlinear random effects models for repeated measurements

Linear random effects models for longitudinal data discussed by Laird and Ware (1982), Jennrich and Schluchter (1986), Lange and Laird (1989), and others are extended in a straight forward manner to nonlinear random effects models. This results in a simple computational approach which accommodates patterned covariance matrices and data insufficient for fitting each subject separately. The technique is demonstrated with an interesting medical data set, and a short, simple SAS PROC IML program based on the EM algorithm is presented.

Fetal Hind Limb Oxygen Consumption and Blood Flow during Acute Graded Hypoxia

ABSTRACT: Hind limb blood flow and O2 uptake, mean blood pressure, and heart rate were measured in six fetal sheep at 127-141 d gestation in the control state and at different levels of hypoxia that were induced by partial occlusion of the maternal terminal aorta. Blood flow was measured by an ultrasonic flow transducer. Control fetal arterial O2 content ([O2]a) in the descending aorta was 3.25 + 0.17 mM. In response to graded acute hypoxia, blood flow first increased (22.2 versus 19.9 mL.min−1.100 g−1, p = 0.003) and then decreased abruptly at approximately 1.5 mM [O2]a.O2 uptake decreased about 12% (14.74 versus 16.71, p = 0.03) as [O2]a decreased to 1.5 mM, and then fell markedly, tending toward zero for [O2]a = 0.9 mM. In the 2.7- to 1.5-mM [O2]a range, heart rate increased above control (194 versus 169 min−1, p = 0.0024), whereas mean blood pressure did not change significantly. For [O2]a < 1.5 mM, heart rate decreased to 148 min−1 (p = 0.0005) and mean blood pressure increased above baseline (55 versus 47 torr, p = 0.0001). In conjunction with previous evidence, these results define a state of acute moderate hypoxia in which the whole fetus can sustain a relatively high rate of oxidative metabolism, and a state of acute severe hypoxia ([O2]a between 1.5 and 1.0 mM) in which O2 uptake by some fetal organs is selectively and markedly decreased.

Temporal profile of connexin 43 mRNA expression in a tetanus toxin-induced seizure disorder.

The messenger ribonucleic acid (mRNA) of gap junction protein connexin 43 was quantified in the tetanus toxin rat model of focal epilepsy following injection of toxin into the left amygdala. Animals were monitored electrographically at weekly intervals with bilateral amygdala electrodes. Cohorts of 3 rats were sacrificed at weeks 1, 2, 3, 4, 6, 8, and 10, and bilateral regions containing the amygdala and posterior cerebral cortex were sampled, frozen, and later pooled for northern blot analysis. Spike generation was manifest in all animals during the first 4 wk followed by variable attenuation and cessation by 10 wk. Electrode implantation alone was shown by regression analysis to cause significant (p < 0.05) elevation of connexin mRNA in weeks 1-4. Injection of toxin diminished connexin mRNA expression in the amygdala when compared to electrode implantation alone. No trend in connexin mRNA expression was established over time in either amygdala or cerebral cortex in the acute epileptic or chronic postepileptic phase. No association between connexin 43 mRNA expression and the development of epileptogenicity was found in the context of a self-limiting animal model of focal epilepsy.

Plasma and Erythrocyte Amino Acids in Mother and Fetus

Plasma (P) and whole blood (WB) amino acid concentrations were measured in arterial and venous blood of 9 mothers and their fetuses at elective cesarean section and compared to values obtained in 5 normal nonpregnant women. Erythrocyte (E) amino acid concentrations were calculated from P and WB concentrations. E/P ratios were significantly greater than 1.0 in all groups studied. Alanine, glycine, and serine presented E/P ratios significantly higher in pregnant women than in control nonpregnant women. Fetuses presented significantly lower E/P ratios for lysine than pregnant and nonpregnant women. Uterine arteriovenous amino acid differences were not significantly different from zero in both plasma and erythrocytes. Umbilical venous-arterial differences were significantly positive for most essential amino acids in plasma, whereas they were not significantly different from zero in erythrocytes. This finding suggests that erythrocytes do not play a major role in the transfer of amino acids from the placenta to the fetus.

A GENERALIZED MICHAELIS–MENTEN RESPONSE SURFACE

We describe an application of recently developed generalized Michaelis-Menten response surface and non-linear mixed model methodologies to model glucose utilization in foetal sheep. More specifically, we model the response surface of glucose utilization rate in the foetal sheep as a function of glucose and insulin concentrations using a three-dimensional analogue of the Michaelis-Menten pharmacokinetic model. To account for multiple measurements per sheep, we apply the non-linear mixed effects model proposed by Lindstrom and Bates using the EM algorithm computational scheme presented by Hirst et al.