A dynamic model of the marriage market-Part 2: simulation of marital states and application to empirical data.

A dynamic, two-sex, age-structured marriage model is presented. Part 1 focused on first marriage only and described a marriage market matching algorithm. In Part 2 the model is extended to include divorce, widowing, and remarriage. The model produces a self-consistent set of marital states distributed by age and sex in a stable population by means of a gender-symmetric numerical method. The model is compared with empirical data for the case of Zambia. Furthermore, a dynamic marriage function for a changing population is demonstrated in simulations of three hypothetical scenarios of elevated mortality in young to middle adulthood. The marriage model has its primary application to simulation of HIV-AIDS epidemics in African countries.

A dynamic model of the marriage market-part 1: matching algorithm based on age preference and availability.

The matching algorithm in a dynamic marriage market model is described in this first of two companion papers. Iterative Proportional Fitting is used to find a marriage function (an age distribution of new marriages for both sexes), in a stable reference population, that is consistent with the one-sex age distributions of new marriages, and includes age preference. The one-sex age distributions (which are the marginals of the two-sex distribution) are based on the Picrate model, and age preference on a normal distribution, both of which may be adjusted by choice of parameter values. For a population that is perturbed from the reference state, the total number of new marriages is found as the harmonic mean of target totals for men and women obtained by applying reference population marriage rates to the perturbed population. The marriage function uses the age preference function, assumed to be the same for the reference and the perturbed populations, to distribute the total number of new marriages. The marriage function also has an availability factor that varies as the population changes with time, where availability depends on the supply of unmarried men and women. To simplify exposition, only first marriage is treated, and the algorithm is illustrated by application to Zambia. In the second paper, remarriage and dissolution are included.

Kinetic and inhibitor studies of 4-methylumbelliferone and 1-naphthol glucuronidation in human liver microsomes.

The glucuronidation kinetics of 4-methylumbelliferone (4MU) and 1-naphthol (1NP) have been investigated in human liver microsomes to determine the validity of using these compounds as probes for specific UDP-glucuronosyltransferase (GT) activities in human liver. 4MU glucuronidation followed Michaelis-Menten kinetics, whereas 1NP glucuronidation kinetics were biphasic. Cross inhibition studies were performed with 4MU and 1NP to determine the relationship between 4MU glucuronidation and the two phases of 1NP glucuronidation. 4MU glucuronidation was competitively inhibited by 1NP but 4MU inhibited only the high affinity component of 1NP glucuronidation. There was good agreement between the apparent Km values for 4MU and the high affinity component of 1NP glucuronidation and their respective apparent K1 values determined in the cross inhibition studies. These data suggest that the same form(s) of human liver GT is involved in 4MU glucuronidation and the high affinity component of 1NP glucuronidation. A number of compounds known to be specific substrates for purified rat liver GTs were screened for inhibitory effects on 4MU glucuronidation in human liver microsomes. 4-Nitrophenol, 2-aminophenol and androsterone inhibited 4MU glucuronidation whereas bilirubin, chloramphenicol, digitoxigenin monodigitoxoside, morphine, oestrone and testosterone had no effect. 4-Nitrophenol and 2-aminophenol were competitive inhibitors of 4MU glucuronidation but the inhibition of 4MU glucuronidation by androsterone followed atypical kinetics. Overall, the substrate specificity of the human liver 4MU/high affinity 1NP-GT activity appears to be broadly similar to that of the 3-methylcholanthrene inducible rat hepatic microsomal GT.

Characterisation of theophylline metabolism by human liver microsomes. Inhibition and immunochemical studies.

Anti-human NADPH-cytochrome P-450 reductase inhibited all theophylline metabolic pathways confirming the involvement of cytochrome P-450 isozymes in the metabolism of theophylline. Tolbutamide, debrisoquine, mephenytoin, theobromine, phenylbutazone, sulphaphenazole and sulphinpyrazone did not inhibit theophylline metabolism by human liver microsomes. Verapamil and dextropropoxyphene were non-selective competitive inhibitors of theophylline metabolism. Cimetidine and caffeine selectively inhibited the two demethylations as Ki values for these two pathways were lower than for the 8-hydroxylation pathway. The effects of nifedipine, propranolol and alpha-naphthoflavone were atypical. The degree of inhibition by propranolol reached a plateau, which was greater for the two demethylations than for the 8-hydroxylation. Alpha-naphthoflavone (ANF) at low concentrations inhibited the demethylations to a greater extent than the 8-hydroxylation. At higher concentrations ANF activated all pathways, with this effect being most marked for the 8-hydroxylation. Nifedipine inhibited the theophylline demethylations but not the 8-hydroxylation. In some livers the 8-hydroxylation was markedly activated. The results confirm that there are at least two distinct cytochrome P-450 isozymes involved in theophylline metabolism, one isozyme being involved with the demethylations and a different isozyme involved in the 8-hydroxylation pathway. Preliminary correlation studies suggest that the human orthologue to the rabbit polycyclic hydrocarbon inducible P-450 Form 4 may be involved in the N-demethylations of theophylline.

Characterisation of theophylline metabolism in human liver microsomes.

1. A radiometric high performance liquid chromatographic method is described for the assay of theophylline metabolism in vitro by the microsomal fraction of human liver. 2. Formation of the three metabolites of theophylline (3-methylxanthine, 1-methylxanthine and 1,3-dimethyluric acid) were linear with protein concentrations to 4 mg ml-1 and with incubation times up to 180 min. 3. The coefficients of variation for the formation of 3-methylxanthine, 1-methylxanthine and 1,3-dimethyluric acid were 1.2%, 1% and 1.6%, respectively. 4. Theophylline is metabolised by microsomal enzymes with a requirement for NADPH. 5. The mean (n = 7) Km values for 1-demethylation, 3-demethylation and 8-hydroxylation were 545, 630 and 788 microM, respectively, and the mean Vmax values were 2.65, 2.84 and 11.23 pmol min-1 mg-1, respectively. 6. There was a high correlation between the Km and Vmax values for the two demethylation pathways suggesting that the demethylations are performed by the same enzyme. 7. Overall the in vitro studies are consistent with the in vivo results which suggest the involvement of two cytochrome P-450 isozymes in the metabolism of theophylline.