Experimental design for estimating integrals by numerical quadrature, with applications to pharmacokinetic studies

Many experimental situations, including bioavailability studies, require the estimation of integrals by numerical quadrature applied to dependent variable observations with measurement error. A strategy is described for selecting values for the independent variable (e.g. time). The strategy minimizes the expectation of the square of the difference between the exact integral and the quadrature approximation. This approach was applied to simulated pharmacokinetic problems, including the estimation of bioavailability. Results indicate that the procedure is potentially useful in reducing the variance of resulting estimates and that it appears to be robust with respect to prior assumptions about model parameter values.     

Glucose- and insulin-independent induction of ATP citrate lyase in primary cultures of rat hepatocytes.

ATP citrate lyase, which is involved in the translocation of the lipogenic precursor acetyl-CoA from mitochondria to cytosol, was studied in primary cultures of hepatocytes from adult rats. After an initial decrease at the first day of culture the enzyme activity was nearly constant during the following days. It could be enhanced between 24h and 48 h in culture about 1.5-fold by elevation of the insulin concentration to 10-7mol/1.22-fold by elevation of the glucose concentration from 5 to 25 mmol/l and 3.5-fold by simultaneous elevation of insulin and glucose. The increase of activity was about linear with time for 24 h and could be blocked by cycloheximide, which inhibits protein synthesis at the translational level. Both observations suggest that the enhancement of activity was due to induction rather than to activation by interconversion. The glucose-dependent induction was furthermore evidenced by immunotitration which indicated a parallel increase of activity and enzyme protein.     

Collagen polysomes: Site of hydroxylation of proline residues

The biosynthesis of collagen on polysomes has been studied by using a newly devised method for obtaining polysomes in high yield from stationary-phase mouse fibroblast (line 3T6; Goldberg &, Green, 1967). These polysomes were completely disaggregated to monosomes by brief exposure to ribonuclease and they lost most of their radioactivity to the top of the sucrose gradients as a result of a 30-minute chase with unlabeled proline. After a ten-minute pulse with [³H]proline, nascent collagen peptides could be identified in these polysomes on sucrose gradients. Most of the proline residues susceptible to hydroxylation by collagen proline hydroxylase were found, in most cases, to be already hydroxylated in these nascent peptides. The nascent nature of these peptides was confirmed by the observation that treatment of the polysomes with RNase transferred the radioactive collagen peptides to the monosome area and these peptides could subsequently be removed to the soluble material at the top of the gradient upon treatment with puromycin. These findings therefore, show clearly that the hydroxylation of proline residues is occurring, in vivo under normal conditions, on nascent collagen chains. In no case was the degree of hydroxylation of the released collagen chains higher than that on the nascent collagen peptides. It seems likely, therefore, that the major site of proline hydroxylation is the nascent collagen peptide.     

Immune response genes in inbred rats. II. Segregation studies of the GT and GA genes and their linkage to the major histocompatibility locus

Genetic analysis of the high responder-non-(or low) responder differences between WF and ACI rats to the synthetic copolymers GT and GA established singleIr-genes for both antigens and dominance for high responder status.Ir-GT andIr-GA are linked to the major histocompatibility locus. It could be demonstrated that only T cells carrying the high responderIr-GT gene undergo in vitro blast transformation to GT. The advantages of the rat systems for further studies of the regulatory role ofIr-genes on the cellular level are discussed.Abbreviations cpm counts per minute - DHR delayed hypersensitivity reaction - GA random synthetic copolymer of L-glutamic acid⁵⁰, L-alanine⁵⁰, M.W. 45,000 - GT random synthetic copolymer of L-glutamic acid⁵⁰, L-tyrosine⁵⁰, M.W. 22,000 - Ir gene immune response gene - MLC mixed lymphocyte cultures - LDH lactic dehydrogenase - (T,G)-A-L branched chain synthetic polymer of poly-L (tyrosine, glutamic acid)-poly-D, L-alanine-poly-L-lysine Rat Strains ACI ACI/MaI - WF Wistar Furth - AUG August 28807/Cr     

Flow through a Collapsible Tube: Experimental Analysis and Mathematical Model

Flow through thin-wall axisymmetric tubes has long been of interest to physiologists. Analysis is complicated by the fact that such tubes will collapse when the transmural pressure (internal minus external pressure) is near zero. Because of the absence of any body of related knowledge in other sciences or engineering, previous workers have directed their efforts towards experimental studies of flow in collapsible tubes. More recently, some attention has been given towards analytical studies. Results of an extensive series of experiments show that the significant system parameter is transmural pressure. The cross-sectional area of the tube depends upon the transmural pressure, and changes in cross-section in turn affect the flow geometry. Based on experimental studies, a lumped parameter system model is proposed for the collapsible tube. The mathematical model is simulated on a hybrid computer. Experimental data were used to define the functional relationship between cross-sectional area and transmural pressure as well as the relation between the energy loss coefficient and cross-sectional area. Computer results confirm the validity of the model for both steady and transient flow conditions.