Mutual Information for Testing Gene-Environment Interaction

Despite current enthusiasm for investigation of gene-gene interactions and gene-environment interactions, the essential issue of how to define and detect gene-environment interactions remains unresolved. In this report, we define gene-environment interactions as a stochastic dependence in the context of the effects of the genetic and environmental risk factors on the cause of phenotypic variation among individuals. We use mutual information that is widely used in communication and complex system analysis to measure gene-environment interactions. We investigate how gene-environment interactions generate the large difference in the information measure of gene-environment interactions between the general population and a diseased population, which motives us to develop mutual information-based statistics for testing gene-environment interactions. We validated the null distribution and calculated the type 1 error rates for the mutual information-based statistics to test gene-environment interactions using extensive simulation studies. We found that the new test statistics were more powerful than the traditional logistic regression under several disease models. Finally, in order to further evaluate the performance of our new method, we applied the mutual information-based statistics to three real examples. Our results showed that P-values for the mutual information-based statistics were much smaller than that obtained by other approaches including logistic regression models.

GSTM1 and GSTT1 null polymorphisms and risk of salivary gland carcinoma.

Glutathione S-transferase (GST) genes detoxify and metabolize carcinogens, including oxygen free radicals which may contribute to salivary gland carcinogenesis. This cancer center-based case-control association study included 166 patients with incident salivary gland carcinoma (SGC) and 511 cancer-free controls. We performed multiplex polymerase chain reaction-based polymorphism genotyping assays for GSTM1 and GSTT1 null genotypes. Odds ratios (ORs) and 95% confidence intervals (CIs) were calculated with multivariable logistic regression analyses adjusted for age, sex, ethnicity, tobacco use, family history of cancer, alcohol use and radiation exposure. In our results, 27.7% of the SGC cases and 20.6% of the controls were null for the GSTT1 (P = 0.054), and 53.0% of the SGC cases and 50.9% of the controls were null for the GSTM1 (P = 0.633). The results of the adjusted multivariale regression analysis suggested that having GSTT1 null genotype was associated with a significantly increased risk for SGC (odds ratio 1.5, 95% confidence interval 1.0-2.3). Additionally, 13.9% of the SGC cases but only 8.4% of the controls were null for both genes and the results of the adjusted multivariable regression analysis suggested that having both null genotypes was significantly associated with an approximately 2-fold increased risk for SGC (odds ratio 1.9, 95% confidence interval 1.0-3.5). The presence of GSTT1 null genotype and the simultaneous presence of GSTM1 and GSTT1 null genotypes appear associated with significantly increased SGC risk. These findings warrant further study with larger sample sizes.

New Name, New Format, New Publisher, Same Principles and Values

This issue of the Journal of Family Strengths is an opportunity for a fresh start, as the Family Preservation Journal is renewed and revived under a new name and a new format. Still keen on being a definitive record on developments in family strengths and parenting, the Journal is devoted to presenting theory, practice and evaluation articles on the strengths perspective in family preservation practice, all to assure and improve services and programs that promote and sustain family systems.

Quantitation of C4a and C4b in systemic lupus erythematosus patients

The fourth component of human complement (C4) exists in blood as two major forms or isotypes which differ in their biochemical and functional properties. Because C4A preferentially transacylates onto amino groups, it has been postulated that this isotype is more important in the clearance of immune complexes. Patients having systemic lupus erythematosus (SLE), an autoimmune disease, have an increased incidence of C4A null genes and presumably decreased levels of C4A. Currently accepted methods for the detection of C4, however, cannot accurately quantitate C4A and C4B. Thus, their role in disease susceptibility and activity has not been studied. A novel immunoassay, which utilized heat-aggregated IgG to activate and capture C4, was developed for accurate quantitation of total C4, C4A and C4B by monoclonal antibody conjugates. Higher mean total C4 values were found in a healthy Black control population when compared to White controls. This appeared to be due to an increase in C4B. In SLE patients, mean total C4 levels were significantly lower than controls regardless of disease activity. Serial patient studies showed that the ratio of C4A:C4B remained relatively constant. When the patient group was compared to controls based on C4 null gene status, the mean levels of C4A were identical while C4B was decreased in the patients. This suggests that the common HLA-B8, Dr3 C4A*Q0 gene deletion found in SLE patients may also adversely affect genetic control of the C4B genes. Furthermore, low levels of C4A cannot fully account for disease development in SLE patients having C4A null genes. ^

Defective pituitary function and gamete interactions in $\beta$1,4-galactosyltransferase null mice

Despite much attention, the function of oligosaccharide chains of glycoproteins remains largely unknown. Our understanding of oligosaccharide function in vivo has been limited to the use of reagents and targeted mutations that eliminate entire oligosaccharide chains. However, most, if not all biological functions for oligosaccharides have been attributed to specific terminal sequences on these oligosaccharides, yet there have been few studies to examine the consequences of modifying terminal oligosaccharide structures in vivo. To address this issue, mice were created bearing a targeted mutation in $\beta$1,4-galactosyltransferase, an enzyme responsible for elaboration of many of the proposed biologically-active carbohydrate epitopes. Most galactosyltransferase-null mice died within the first few weeks after birth and were characterized by stunted growth, thin skin, sparse hair, and dehydration. In addition, the adrenal cortices were poorly stratified and spermatogenesis was delayed. The few surviving adults had puffy skin (myxedema), difficulty delivering pups at birth (dystocia), and failed to lactate (agalactosis). All of these defects are consistant with endocrine insufficiency, which was confirmed by markedly decreased levels of serum thyroxine. The anterior pituitary gland appeared functionally delayed in newborn mutant mice, since the constituent cells were quiescent and nonsecretory, unlike that of control littermates. However, the anterior pituitary acquired a normal secretory phenotype during neonatal development, although it remained abnormally small and its glycoprotein hormones were devoid of $\beta$1,4-galactosyl residues. These results support in vitro studies suggesting that incomplete glycosylation of pituitary hormones leads to the creation of hormone antagonists that down regulate subsequent endocrine function producing polyglandular endocrine insufficiency. More surprisingly, the fact that some mice survive this neonatal period indicates the presence of a previously unrecognized compensatory pathway for glycoprotein hormone glycosylation and/or action.^ In addition to its well-studied biosynthetic function in the Golgi complex, a GalTase isoform is also expressed on the sperm surface where it functions as a gamete receptor during fertilization by binding to its oligosaccharide ligand on the egg coat glycoprotein, ZP3. Aggregation of GalTase by multivalent ZP3 oligosaccharides activates a G-protein cascade leading to the acrosome reaction. Although GalTase-null males are fertile, the mutant sperm bind less ZP3 than wild-type sperm, and are unable to undergo the acrosome reaction in response to either zona pellucida glycoproteins or to anti-GalTase anti-serum, as do wild-type sperm. However, mutant and wild-type sperm undergo the acrosome reaction normally in response to calcium ionophore which bypasses the requirement for ZP3 binding. Interestingly, the phenotype of the GalTase-null sperm is reciprocal to that of sperm that overexpress surface GalTAse and which bind more ZP3 leading to precocious acrosome reactions. These results confirm that GalTase functions as at least one of the sperm receptors for ZP3, and that GalTase participates in the ZP3-induced signal transduction pathway during zona pellucida-induced acrosome reactions. ^

Importance of sperm transition proteins demonstrated in mice carrying Tnp1- and Tnp2-null alleles

Chromatin condensation within the nucleus of developing spermatids involves replacement of histones by transition proteins, which are in turn replaced by protamines. The importance of transition proteins in the complex process of spermiogenesis has, to date, been only speculative. This study sought to investigate the extent to which transition proteins are essential or have redundant functions by characterizing sperm produced in mice expressing all combinations of Tnp-null alleles. Results from breeding trials of 8 weeks duration revealed that, on average, wildtype males produced about 14 offspring whereas TP2 and TP1 single-knockout males produced about 8 and 1 offspring, respectively, demonstrating their subfertility. Genotypes with less than two Tnp wildtype alleles, as well as double-knockout mutants, were completely infertile. Sperm from males with impaired fertility had poor progressive motility, heterogeneous chromatin condensation, incompletely processed protamine 2 and head and tail abnormalities. Generally, as the number of Tnp-null alleles increased so did the severity of abnormalities. However, specific morphological abnormalities were associated with the absence of an individual TP. Studies which sought to identify possible root causes for abnormalities in thiol-rich sperm structures revealed no differences in thiol content or sulfhydryl oxidation status within the nucleus but nuclei and tails from single-knockout mutants were severely disrupted following thiol reduction. Binding of fluorescent dyes to DNA was normal in sperm recovered from caput but abnormal in cauda epididymal sperm from TP1 knockouts and infertile double mutants. Injection of cauda epididymal sperm from double knockouts into oocytes produced very few offspring; however, after injection with testicular sperm, the efficiency was no different from wildtype. These results suggest DNA structural alterations or degradation during epididymal transport of sperm resulting in a diminished capacity of the paternal DNA of these sperm to produce offspring. The overall importance of transition proteins for normal chromatin condensation and production of fertile sperm has been demonstrated. Furthermore, identification of specific morphological abnormalities associated with the absence of an individual transition protein provides new evidence that the proteins are not completely redundant and each fulfills some unique function. ^

Analyses of maternal and child mortality rates of five West African countries: Cote d'Ivoire, Guinea, Liberia, Senegal, Sierra Leone

After traveling to a small country in West Africa last summer, I became interested in learning more about the maternal, infant, and child death rates of that particular region of the continent. For the purposes of this paper I limited the number of countries that would be included in this research to five: Cote d'Ivoire, Guinea, Liberia, Senegal, and Sierra Leone. There are three hypotheses that were considered when conducting the research for this paper. The first was that there is no difference in the under five mortality rates for Cote d'Ivoire, Guinea, Liberia, Senegal, and Sierra Leone. The second hypothesis was that there is no difference in the female literacy rates for Cote d'Ivoire, Guinea, Liberia, Senegal, and Sierra Leone. The final hypothesis was that there is no difference in the male literacy rates for Cote d'Ivoire, Guinea, Liberia, Senegal, and Sierra Leone. The data used were collected from publicly available sources that include the CIA World Factbook, the WHO website, the UNICEF website, the Penn World Data table, and the World Bank website. The p-values that were calculated for all three hypotheses were found to be very significant, and all three of the null hypotheses were rejected. ^

Mathematical and empirical examinations of some epidemiological procedures

In epidemiology literature, it is often required to investigate the relationships between means where the levels of experiment are actually monotone sets forming a partition on the range of sampling values. With this need, the analysis of these group means is generally performed using classical analysis of variance (ANOVA). However, this method has never been challenged. In this dissertation, we will formulate and present our examination of its validity. First, the classical assumptions of normality and constant variance are not always true. Second, under the null hypothesis of equal means, the test statistic for the classical ANOVA technique is still valid. Third, when the hypothesis of equal means is rejected, the classical analysis techniques for hypotheses of contrasts are not valid. Fourth, under the alternative hypothesis, we can show that the monotone property of levels leads to the conclusion that the means are monotone. Fifth, we propose an appropriate method for handing the data in this situation. ^

Motivational interviewing and feedback for college drinkers: Handling missing values with complete case analysis and multiple imputation

Objective: In this secondary data analysis, three statistical methodologies were implemented to handle cases with missing data in a motivational interviewing and feedback study. The aim was to evaluate the impact that these methodologies have on the data analysis. ^ Methods: We first evaluated whether the assumption of missing completely at random held for this study. We then proceeded to conduct a secondary data analysis using a mixed linear model to handle missing data with three methodologies (a) complete case analysis, (b) multiple imputation with explicit model containing outcome variables, time, and the interaction of time and treatment, and (c) multiple imputation with explicit model containing outcome variables, time, the interaction of time and treatment, and additional covariates (e.g., age, gender, smoke, years in school, marital status, housing, race/ethnicity, and if participants play on athletic team). Several comparisons were conducted including the following ones: 1) the motivation interviewing with feedback group (MIF) vs. the assessment only group (AO), the motivation interviewing group (MIO) vs. AO, and the intervention of the feedback only group (FBO) vs. AO, 2) MIF vs. FBO, and 3) MIF vs. MIO.^ Results: We first evaluated the patterns of missingness in this study, which indicated that about 13% of participants showed monotone missing patterns, and about 3.5% showed non-monotone missing patterns. Then we evaluated the assumption of missing completely at random by Little's missing completely at random (MCAR) test, in which the Chi-Square test statistic was 167.8 with 125 degrees of freedom, and its associated p-value was p=0.006, which indicated that the data could not be assumed to be missing completely at random. After that, we compared if the three different strategies reached the same results. For the comparison between MIF and AO as well as the comparison between MIF and FBO, only the multiple imputation with additional covariates by uncongenial and congenial models reached different results. For the comparison between MIF and MIO, all the methodologies for handling missing values obtained different results. ^ Discussions: The study indicated that, first, missingness was crucial in this study. Second, to understand the assumptions of the model was important since we could not identify if the data were missing at random or missing not at random. Therefore, future researches should focus on exploring more sensitivity analyses under missing not at random assumption.^

Rescue of embryonic lethality in mdmx null mice by loss of p53 suggests a non-overlapping pathway with MDM2 to regulate p53

The tumor suppressor p53 is mutated in over 50% of human sporadic tumors originating from diverse tissues. p53 responds to DNA damage and cell stress by activating the transcription of a variety of target genes, the protein products of which then initiate either growth arrest or apoptosis. ^ A p53 target with a particularly intriguing function is the oncogene MDM2. MDM2 functions, in part, by binding to and inhibiting p53's activity. Overexpression of MDM2, by gene amplification, has been found in 30% of human sarcomas harboring a wild type p53, indicating that an increase in MDM2 levels is sufficient for p53 inactivation. Mice carrying a homozygous null allele for mdm2 exhibit an early embryonic lethality that is completely rescued in a p53-null background. These data indicate that MDM2's only critical function in early mouse embryogenesis is the negative regulation of p53. ^ The mdmx gene is the first additional member of the mdm2 gene family to be isolated. MDMX, like MDM2, contains a RING-finger domain, ATP binding domain and a p53 binding domain, which retains the ability to bind and inhibit p53 transactivation in vitro. However, mdmx does not appear to be transcriptionally regulated by p53. We have cloned and characterized the murine mdmx genomic locus from a mouse 129 genomic library. The mdmx gene contains 11 exons, spans approximately 37 Kb of DNA, and is located on mouse chromosome 1. The genomic organization of the mdmx gene is identical to that of mdm2 except at the 5′ end of the gene near the p53 responsive element. Northern expression analysis of mdmx transcripts during mouse embryogenesis and in adult tissues revealed constitutive and ubiquitous expression throughout adult tissues and embryonic development. To determine the in vivo function of MDMX, mice carrying a null allele of mdmx have been generated. Mdmx homozygous null mice are early embryonic lethal. Mdmx null mice do not develop beyond 9.5 dpc and can be discerned by gross dissection as early as 7.5 dpc. Utilizing TUNEL and BrdU assays on 7.5 dpc histological sections we have determined that the mutant embryos are dying due to increased levels of growth arrest, but not apoptosis. Surprisingly, Mdmx homozygous null mice are viable in a p53 null background, indicating that MDMX is also very important in the negative regulation of p53. ^