Estimating the mean and standard deviation of concentration distributions using censored samples

Environmental data sets of pollutant concentrations in air, water, and soil frequently include unquantified sample values reported only as being below the analytical method detection limit. These values, referred to as censored values, should be considered in the estimation of distribution parameters as each represents some value of pollutant concentration between zero and the detection limit. Most of the currently accepted methods for estimating the population parameters of environmental data sets containing censored values rely upon the assumption of an underlying normal (or transformed normal) distribution. This assumption can result in unacceptable levels of error in parameter estimation due to the unbounded left tail of the normal distribution. With the beta distribution, which is bounded by the same range of a distribution of concentrations, $\rm\lbrack0\le x\le1\rbrack,$ parameter estimation errors resulting from improper distribution bounds are avoided. This work developed a method that uses the beta distribution to estimate population parameters from censored environmental data sets and evaluated its performance in comparison to currently accepted methods that rely upon an underlying normal (or transformed normal) distribution. Data sets were generated assuming typical values encountered in environmental pollutant evaluation for mean, standard deviation, and number of variates. For each set of model values, data sets were generated assuming that the data was distributed either normally, lognormally, or according to a beta distribution. For varying levels of censoring, two established methods of parameter estimation, regression on normal ordered statistics, and regression on lognormal ordered statistics, were used to estimate the known mean and standard deviation of each data set. The method developed for this study, employing a beta distribution assumption, was also used to estimate parameters and the relative accuracy of all three methods were compared. For data sets of all three distribution types, and for censoring levels up to 50%, the performance of the new method equaled, if not exceeded, the performance of the two established methods. Because of its robustness in parameter estimation regardless of distribution type or censoring level, the method employing the beta distribution should be considered for full development in estimating parameters for censored environmental data sets. ^

TGF-beta1 in Aplysia: role in long-term changes in the excitability of sensory neurons and distribution of TbetaR-II-like immunoreactivity.

Exogenous recombinant human transforming growth factor beta-1 (TGF-beta1) induced long-term facilitation of Aplysia sensory-motor synapses. In addition, 5-HT-induced facilitation was blocked by application of a soluble fragment of the extracellular portion of the TGF-beta1 type II receptor (TbetaR-II), which presumably acted by scavenging an endogenous TGF-beta1-like molecule. Because TbetaR-II is essential for transmembrane signaling by TGF-beta, we sought to determine whether Aplysia tissues contained TbetaR-II and specifically, whether neurons expressed the receptor. Western blot analysis of Aplysia tissue extracts demonstrated the presence of a TbetaR-II-immunoreactive protein in several tissue types. The expression and distribution of TbetaR-II-immunoreactive proteins in the central nervous system was examined by immunohistochemistry to elucidate sites that may be responsive to TGF-beta1 and thus may play a role in synaptic plasticity. Sensory neurons in the ventral-caudal cluster of the pleural ganglion were immunoreactive for TbetaR-II, as well as many neurons in the pedal, abdominal, buccal, and cerebral ganglia. Sensory neurons cultured in isolation and cocultured sensory and motor neurons were also immunoreactive. TGF-beta1 affected the biophysical properties of cultured sensory neurons, inducing an increase of excitability that persisted for at least 48 hr. Furthermore, exposure to TGF-beta1 resulted in a reduction in the firing threshold of sensory neurons. These results provide further support for the hypothesis that TGF-beta1 plays a role in long-term synaptic plasticity in Aplysia.

Expression and function of $\beta$-tubulin isotypes in Chinese hamster ovary (CHO) cells

The availability of isotype specific antisera for $\beta$-tubulin, coupled with genetic and biochemical analysis, has allowed the determination of $\beta$-tubulin isotype expression and distribution in Chinese hamster ovary (CHO) cells. Using genetic manipulations involving selection for colcemid resistance followed by reversion and reselection for drug resistance, we have succeeded in isolating cell lines that exhibit three major and one minor $\beta$-tubulin spots by two-dimensional gel electrophoresis. In concert with isotype specific antibodies, analysis of these mutants demonstrates that CHO cells express two copies of isotype I, at least one copy of isotype IV, and very small amounts of isotype V. Their stoichiometry is approximately 1:1:0.7:0.2. All three isotypes assemble into both cytoplasmic and spindle microtubules, and are similar in their responses to cold, colcemid, and calcium induced depolymerization. They have comparable turnover rates and are equally sensitive to depression of synthesis upon colchicine treatment. These results suggest that $\beta$-tubulin isotypes are used interchangeably to assemble microtubule structures in CHO cells. However, of 18 colcemid resistant mutants with a demonstrable alteration in $\beta$-tubulin, all were found to have the alteration in isotype I, thus leaving open the possibility that subtle differences in isotype properties may exist. Under various conditions of the cell growth, the relative proportion of each expressed isotype does not significantly seem to change except in the early G1 phase of the cell cycle. At this time the synthesis of isotype V increases more than two fold relative to isotype I and IV, while at the same time, total $\beta$-tubulin synthesis is decreased about 60-70%. ^

Molecular analysis of $\beta$1,4-galactosyl-transferase localization to the cell surface and participation in cell adhesion

$\beta$1,4-Galactosyltransferase (GalTase) is unusual among the glycosyltransferases in that it is found in two subcellular compartments where it performs different functions. In the trans-Golgi complex, GalTase participates in oligosaccharide biosynthesis as do other glycosyltransferases. GalTase is also found on the cell surface, where it associates with the cytoskeleton and functions as a receptor for extracellular oligosaccharide ligands. Although we know much regarding GalTase function on the cell surface, little is known about the mechanisms underlying its transport to the plasma membrane. Cloning of the GalTase gene revealed that there are two GalTase proteins (i.e., long and short) with different size cytoplasmic tails. This raises the possibility that differences in the cytoplasmic domain of GalTase may influence its subcellular distribution. The object of this study was to examine this hypothesis directly through the use of molecular, immunological, and biochemical approaches.^ To examine whether the two GalTase proteins are targeted to different subcellular compartments, F9 embryonal carcinoma cells were transfected with either long or short GalTase cDNAs and intracellular and cell surface enzyme levels measured. Cell surface GalTase activity was enriched in cells overexpressing the long, but not the form of short GalTase. Furthermore, a dominant negative mutation in cell surface GalTase was created by transfecting cells with GalTase cDNAs encoding a truncated version of long GalTase devoid of the extracellular catalytic domain. Overexpressing the complete cytoplasmic and transmembrane domains of long GalTase led to a loss of GalTase-dependent cellular adhesion by specifically displacing surface GalTase from its cytoskeletal associations. In contrast, overexpressing the analogous truncated protein of short GalTase had no effect on cell adhesion. Finally, chloramphenicol acetyltransferase (CAT) reporter proteins were used to determine directly whether the cytoplasmic domains of long and short GalTase were responsible for differential subcellular distribution. The cytoplasmic and transmembrane domains of long GalTase led to CAT expression on the ceil surface and its association with the detergent-insoluble cytoskeleton; the analogous fusion protein containing short GalTase was restricted to the Golgi compartment. These results suggest that the cytoplasmic domain unique to long GalTase is responsible for targeting a portion of this protein to the cell surface and associating it with the cytoskeleton, enabling it to function as a cell adhesion molecule. ^

Analysis of the mechanisms that maintain coordinate production of $\alpha$- and $\beta$-tubulin in mammalian cells

Alpha and beta tubulin are essential proteins in all eukaryotic cells. To study how cells maintain coordinate levels of these two interacting proteins, we have used PCR to add a 9 amino acid epitope from influenza hemagglutinin protein onto the carboxyl terminus of $\alpha$1 and $\beta$1-tubulin. The chimeric tubulin genes (HA$\alpha$1 and HA$\beta$1) were transfected into CHO cells and cell lines that stably express each gene were selected. Cells transfected with HA-tubulin do not exhibit any gross changes in growth or morphology. Immunofluorescence analysis demonstrated that HA-tubulins incorporate into both cytoplasmic and spindle microtubules. A quantitative biochemical assay was used to show that HA-tubulins incorporate into microtubules to a normal extent and do not alter the steady state distribution of endogenous tubulin between monomer and polymer pools. Two-dimensional gel analysis of pulse-labeled cells indicated that when HA$\beta$1-tubulin is expressed at high levels, it slightly represses the synthesis of the endogenous $\beta$-tubulin but produces a small increase in the synthesis of $\alpha$-tubulin. Analysis of cells labeled to steady state showed that HA$\beta$1-tubulin accumulates to a similar level as the wild-type gene product, but together these polypeptides produce only a small increase in total tubulin content consistent with the increased synthesis of $\alpha$-tubulin. It thus appears that HA$\beta$1-tubulin successfully competes with endogenous $\beta$-tubulin for heterodimer formation and that free $\beta$-tubulin subunits (endogenous and HA$\beta$1) are selectively degraded to maintain coordinate amounts of $\alpha$- and $\beta$-tubulin. In addition, the increased synthesis of $\alpha$-tubulin suggested the existence of a mechanism to ensure coordinate synthesis of $\alpha$- and $\beta$-tubulin subunits. To analyze whether reciprocal changes in endogenous tubulin synthesis occur when $\alpha$-tubulin is overexpressed, stably transfected CHO cell lines were isolated in which HA$\alpha$1-tubulin represents 50% of the total $\alpha$-tubulin, and its relative abundance can be further increased to 85-90% by treatment with sodium butyrate. In contrast with results obtained using HA$\beta$1-tubulin, transfection of HA$\alpha$1-tubulin decreased the synthesis of endogenous $\alpha$-tubulin to 60% of normal with little or no change in $\beta$-tubulin synthesis. When the transfected cells were treated with sodium butyrate to further increase HA$\beta$1-tubulin production, a larger decrease in the synthesis of endogenous $\alpha$-tubulin (to 30% of normal) was observed. The repression on the synthesis of endogenous $\alpha$-tubulin polypeptide was found to be directly proportional to the expression of HA$\alpha$1-tubulin indicating the existence of an autoregulatory loop, where $\alpha$-tubulin inhibits its own synthesis. To determine whether overproduction of HA$\alpha$1-tubulin affected the transcription, message stability or translation of endogenous $\alpha$-tubulin, the steady state levels of $\alpha$-tubulin mRNA were analyzed by ribonuclease protection assays. The results showed that the steady state level of $\alpha$-tubulin mRNA is not affected by the overexpression of HA$\alpha$1-tubulin, indicating that the repression is translational. The results are compatible with a model in which $\beta$-tubulin synthesis is largely unperturbed by overexpression of other tubulin subunits, and excess $\beta$-tubulin subunits are rapidly degraded to maintain coordinate $\alpha$- and $\beta$-tubulin levels at steady state. In contrast, free $\alpha$-tubulin represses its own synthesis at the translational level, suggesting that its level of production may be controlled by the amount of $\beta$-tubulin available for heterodimer formation. ^

Distribution of quality adjusted life expectancy: A systems approach

Statistical methods are developed which assess survival data for two attributes; (1) prolongation of life, (2) quality of life. Health state transition probabilities correspond to prolongation of life and are modeled as a discrete-time semi-Markov process. Imbedded within the sojourn time of a particular health state are the quality of life transitions. They reflect events which differentiate perceptions of pain and suffering over a fixed time period. Quality of life transition probabilities are derived from the assumptions of a simple Markov process. These probabilities depend on the health state currently occupied and the next health state to which a transition is made. Utilizing the two forms of attributes the model has the capability to estimate the distribution of expected quality adjusted life years (in addition to the distribution of expected survival times). The expected quality of life can also be estimated within the health state sojourn time making more flexible the assessment of utility preferences. The methods are demonstrated on a subset of follow-up data from the Beta Blocker Heart Attack Trial (BHAT). This model contains the structure necessary to make inferences when assessing a general survival problem with a two dimensional outcome. ^

Expression and function of $\beta$-1,4-galactosyltransferase during wild-type and T/{\it t\/} -mutant spermatogenesis

In the mouse, gamete recognition is mediated in part by the binding of sperm surface $\beta$1,4 galactosyltransferase (GalTase) to specific oligosaccharide residues on the zona pellucida ZP3. The expression of GalTase on the sperm surface is regulated by alleles within the distal segment of the T/t complex and results in a haploid-specific increase in GalTase expression on spermatids and sperm from t-bearing males, suggesting that differences in sperm GalTase activity may contribute to t-sperm transmission ratio distortion. In this study, the expression of GalTase RNA during wild-type and T/t-mutant spermatogenesis was characterized and the role of GalTase was analyzed in transmission ratio distortion. It was found that spermatogenic cells predominantly express the long form of the GalTase RNA, which encodes the GalTase protein that is preferentially targeted to the cell surface in somatic cells. In wild-type testes, GalTase RNA accumulates during the maturation of primary spermatocytes, reaches peak levels prior to meiosis, and decreases and meiosis. GalTase RNA accumulates to similar levels during the maturation of +/t and t/t primary spermatocytes, but unlike wild-type, the level of GalTase RNA in t-spermatocytes remains elevated during meiotic division. Consequently, spermatids in t-mutant testes inherit higher levels of GalTase RNA than do wild-type spermatids, which likely accounts for the haploid-specific increase in surface GalTase activity characteristic of spermatids from t-bearing mice.^ The functional significance of the increased GalTase activity during t-sperm transmission ratio distortion was determined by examining the distribution of GalTase RNA and surface GalTase protein in haploid spermatids from +/t males. Results show that +- and t-spermatids have similar levels of both GalTase RNA and protein, indicating that transmission ratio distortion in +/t mice is not likely due to haploid-specific differences in sperm surface GalTase activity.^ The presence of GalTase on the surface of an early spermatogenic cells before it is required on the mature sperm to perform its function during gamete binding suggests a separate function for GalTase in Sertoli-germ cell adhesion. Studies indicate that cell surface GalTase partly mediates the initial adhesion of pachytene spermatocytes, but not haploid spermatids, to Sertoli cells. ^