Assessment of US Air Force student pilots with intermittent monofixation syndrome on a non-stereoptic dependent flight maneuver in pilot training

The United States Air Force School of Aerospace Medicine (USAFSAM) and Aeromedical Consult Service (ACS) have developed waiver criteria for pilots with subtle substandard depth perception. This is to allow United States Air Force (USAF) pilots with mild depth perception deficiency to continue flying duties while limiting the risk to flight safety and ensuring the availability of costly human resources. From 1999 to 2005, 166 aviators were given waivers for intermittent monofixation syndrome (IMFS). Of these, 96 were student pilots who performed slightly worse at stereoptic dependent flight maneuvers than student pilots (8,907) with normal depth perception (Lowry, 2006).^ This study's purpose is to evaluate the performance of the extended-trail maneuver, a non-stereoptic dependent flying maneuver, as executed by a cohort of 12 United States Air Force student pilots with intermittent monofixation syndrome versus the cohort of 100 student pilots with normal depth perception. These subjects are extracted from the cohorts examined by Lowry (2006) and the null hypothesis predicts no statistical difference in the performance of the non-stereoptic dependant flight maneuver extended-trail between student pilots with intermittent monofixation syndrome and those without the condition. ^

Depolarization-dependent synaptic potentiation and hyperexcitability induced by a Ca2+-independent trigger

Despite vast research efforts since Cajal's seminal thoughts on the adaptation of the nervous system, researchers have only recently begun to understand the diversity of forms of neuronal plasticity and its mechanisms. All known forms of activity-dependent neuronal plasticity utilize alterations in [Ca 2+]i as a signal of changes in the membrane voltage. Ca 2+ sensors trigger modifications in excitability or synaptic strength that last from seconds to weeks and presumably years. Intriguingly, Kunjilwar et al., (unpublished observations) discovered in peripheral sensory axons of Aplysia that the induction of depolarization-dependent long-term axonal hyperexcitability does not require Ca2+ transients. Here we show that induction of depolarization-dependent intermediate-term and long-term synaptic potentiation in Aplysia occurs in conditions that prevent Ca2+ entry through voltage-gated channels and elevation of [Ca2+]i. We found that the intermediate-term synaptic potentiation induced under conditions expected to prevent Ca 2+ transients is associated with increased excitability of sensory neuron axons near presynaptic terminals, suggesting that the synaptic potentiation involves a presynaptic locus. The Ca2+-independent intermediate- and long-term synaptic potentiation appeared similar to previously reported Ca2+-dependent modifications in Aplysia. ^

Membrane trafficking from lysosomes to the plasma membrane regulates phosphatidylserine externalization during apoptosis

Programmed cell death is characterized by tightly controlled temporal and spatial intracellular Ca2+ responses that regulate the release of key proapoptotic proteins from mitochondria to the cytosol. Since apoptotic cells retain their ability to exclude membrane impermeable dyes, it is possible that the cells evoke repair mechanisms that, similar to those in normal cells, patch any damaged areas of the plasma membrane that preclude dye permeation. One critical distinction between plasma membrane repair in normal and apoptotic cells is the preservation of membrane lipid asymmetry. In normal cells, phosphatidylserine (PS) retains its normal asymmetric distribution in the inner membrane leaflet. In apoptotic cells, PS redistributes to the outer membrane leaflet by a Ca2+ dependent mechanism where it serves as a recognition ligand for phagocytes(1). In this study Ca 2+-specific fluorescent probes were employed to investigate the source of Ca2+ required for PS externalization. Experiments employing Rhod2-AM, calcium green 1, fura2-AM and the aqueous space marker FITC-dextran, demonstrated that exogenous Ca2+ imported with endocytotic vesicles into the cell was released into the cytosol in an apoptosis dependent manner. Labeling of the luminal side of the endocytotic vesicles with FITC-annexin 5, revealed that membrane lipid asymmetry was disrupted upon endosome formation. Specific labeling of the lysosomal luminal surface with the non-exchangeable membrane lipid probe, N-rhodamine-labeled-phosphatidylethanolamine (N-Rho-PE) and the lysosomal specific probe, lysotracker green, facilitated real-time monitoring of plasma membrane-to-endosome-to-lysosome transitions. Enforced elevation of cytosolic [Ca2+] with ionophore resulted in the redistribution of N-Rho-PE and PS from the inner membrane leaflet to the PM outer membrane leaflet. Identical results were obtained during apoptosis, however, the redistribution of both N-RhoPE and PS was dependent on the release of intra-lysosomal Ca2+ to the cytosol. Additional experiments suggested that lipid redistribution was dependent on the activity of lysosomal phospholipase A2 activity since lipid trafficking was abolished in the presence of chloroquine and lipase inhibitors. These data indicate that endosomal/lysosomal Ca2+ and the fusion of hybrid organelles to the plasma membrane regulates the externalization of PS during apoptosis. ^

The INO80 chromatin remodeling complex is involved in the nucleotide excision repair pathway

The genomic DNA of eukaryotic cells is well organized into chromatin structures. However, these repressed structures present barriers that block the access of regulatory factors to the genome during various nuclear events. To overcome the obstacle, two major cellular processes, post-modification of histone tails and ATP-dependent chromatin remodeling, are involved in reconfiguring chromatin structure and creating accessible DNA. Despite the current research progress, much remains to be explored concerning the relationship between chromatin remodeling and DNA repair. Recently, one member of the ATP-dependent chromatin remodeling complexes, INO80, has been found to play a crucial role in DNA damage repair. However, the functions of this complex in higher eukaryotes have yet to be determined. The goal of my study is to generate a human somatic INO80 conditional knockout model and investigate the functions of Ino80 in damage repair.^ By homologous targeting of the INO80 locus in human HCT116 colon epithelial cells, I established a human somatic INO80 conditional knockout model. I have demonstrated that the conditional INO80 cells exhibited a sufficiently viable period when the INO80 protein is removed. Moreover, I found that loss of INO80 resulted in deficient UV lesion repair in response to UV while the protein levels of the NER factors such as XPC, XPA, XPD were not affected. And in vitro repair synthesis assay showed that the NER incision and repair synthesis activities were intact in the absence of INO80. Examination on the damage recognition factor XPC showed its recruitment to damage sites was impaired in the INO80 mutant cells. Loss of INO80 also led to reduced enrichment of XPA at the site of UV lesions. Despite the reduced recruitment of XPC and XPA observed in INO80 mutants, no direct interaction was detected. Meanwhile, direct interaction between INO80 and DDB1, the initial UV lesion detector, was detected by coimmunoprecipitation. UV-induced chromosome relaxation was reduced in cells devoid of INO80. These results demonstrate the INO80 complex may participates in the NER by interacting with DDB1 and having a critical role of in creating DNA accessibility for the nucleotide excision pathway. ^

PREPARATION AND CHARACTERIZATION OF FAD DEPENDENT NADPH CYTOCHROME P-450 REDUCTASE (FLAVOPROTEINS, APOFLAVOPROTEIN)

NADPH cytochrome P-450 reductase releases FMN and FAD upon dilution into slightly acidic potassium bromide. The flavins are released with positive cooperativity. Dithiothreitol protects the FAD dependent cytochrome c reductase activity against inactivation by free radicals. Behavior in potassium bromide is sensitive to changes in the pH. High performance hydroxylapatite resolved the FAD dependent reductase from holoreductase. For 96% FAD dependent reductase, the overall yield was 12%.^ High FAD dependence was matched by a low FAD content, with FAD/FMN as low as 0.015. There were three molecules of FMN for every four molecules of reductase. The aporeductase had negligible activity towards cytochrome c, ferricyanide, menadione, dichlorophenolindophenol, nitro blue tetrazolium, oxygen and acetyl pyridine adenine dinucleotide phosphate. A four minute incubation in FAD reconstituted one half to all of the specific activity, per milligram protein, of untreated reductase, depending upon the substrate. After a two hour reconstitution, the reductase eluted from hydroxylapatite at the location of holoreductase. It had little flavin dependence, was equimolar in FMN and FAD, and had nearly the specific activity (per mole flavin) of untreated reductase.^ The lack of activity and the ability of FMN to also reconstitute suggest that the redox center of FAD is essential for catalysis, rather than for structure. Dependence upon FAD is consistent with existing hypotheses for the catalytic cycle of the reductase. ^

Antibody chemical reactivity: Beneficial and pathogenic roles

Antibodies (Abs) to autoantigens and foreign antigens (Ags) mediate, respectively, various pathogenic and beneficial effects. Abs express enzyme-like nucleophiles that react covalently with electrophiles. A subpopulation of nucleophilic Abs expresses proteolytic activity, which can inactivate the Ag permanently. This thesis shows how the nucleophilicity can be exploited to inhibit harmful Abs or potentially protect against a virus. ^ Inactivation of pathogenic Abs from Hemophilia A (HA) patients by means of nucleophile-electrophile pairing was studied. Deficient factor VIII (FVIII) in HA subjects impairs blood coagulation. FVIII replacement therapy fails in 20-30% of HA patients due to production of anti-FVIII Abs. FVIII analogs containing electrophilic phosphonate group (E-FVIII and E-C2) were hypothesized to inactivate the Abs by reacting specifically and covalently with nucleophilic sites. Anti-FVIII IgGs from HA patients formed immune complexes with E-FVIII and E-C2 that remained irreversibly associated under conditions that disrupt noncovalent Ab-Ag complexes. The reaction induced irreversible loss of Ab anti-coagulant activity. E-FVIII alone displayed limited interference with coagulation. E-FVIII is a prototype reagent suitable for further development as a selective inactivator of pathogenic anti-FVIII Abs. ^ The beneficial function of Abs to human immunodeficiency virus type 1 (HIV-1) was analyzed. HIV-1 eludes the immune system by rapidly changing its coat protein structure. IgAs from noninfected subjects hydrolyzed gp120 and neutralized HIV-1 with modest potency by recognizing the gp120 421-433 epitope, a conserved B cell superantigenic region that is also essential for HIV-1 attachment to host cell CD4 receptors. An adaptive immune response to superantigens is generally prohibited due to their ability to downregulate B cells. IgAs from subjects with prolonged HIV-1 infection displayed improved catalytic hydrolysis of gp120 and exceptionally potent and broad neutralization of diverse CCR5-dependent primary HIV isolates attributable to recognition of the 421-433 epitope. This indicates that slow immunological bypass of the superantigenic character of gp120 is possible, opening the path to effective HIV vaccination. ^ My research reveals a novel route to inactivate pathogenic nucleophilic Abs using electrophilic antigens. Conversely, naturally occurring nucleophilic Abs may help impede HIV infection, and the Abs could be developed for passive immunotherapy of HIV infected subjects. ^

Macular edema in Hispanics with non-insulin dependent diabetes mellitus in Starr County, Texas: Prevalence, incidence and risk factors

This project is based on secondary analyses of data collected in Starr County, Texas from 1981 till 1991 to determine the prevalence, incidence and risk factors for macular edema in Hispanics with non-insulin-dependent diabetes in Starr County, Texas. Two studies were conducted. The first study examined the prevalence of macular edema in this population. Of the 310 diabetics that were included in the study 22 had macular edema. Of these 22 individuals 9 had clinically significant macular edema. Fasting blood glucose was found to be significantly associated with macular edema. For each 10 mg/dl increase in fasting blood glucose there was a 1.07 probability of an increase in the risk of having macular edema. Individuals with fasting blood glucose $\ge$200 mg/dl were found to be more than three times at risk of having macular edema compared to those with fasting blood glucose $<$200 mg/dl.^ In the second study the incidence and the risk factors that could cause macular edema in this Hispanic population were examined. 240 Hispanics with non-insulin-dependent diabetes mellitus and without macular edema were followed for 1223 person-years. During the follow-up period 27 individuals developed macular edema (2.21/100 person-years). High fasting blood glucose and glycosylated hemoglobin were found to be strong and independent risk factors for macular edema. Participants taking insulin were 3.9 times more at risk of developing macular edema compared to those not taking insulin. Systolic blood pressure was significantly related to macular edema, where each 10 mmHg increase in systolic blood pressure was associated with a 1.3 increase in the risk of macular edema.^ In summary, this study suggests that hyperglycemia is the main underlying factor for retinal pathological changes in this diabetic population, and that macular edema probably is not the result of sudden change in the blood glucose level. It also determined that changes in blood pressure, particularly systolic blood pressure, could trigger the development of macular edema.^ Based on the prevalence reported in this study, it is estimated that 35,500 Hispanic diabetics in the US have macular edema. This imposes a major public health challenge particularly in areas with high concentration of Mexican Americans. It also highlights the importance of public health measures directed to Mexican Americans such as health education, improved access to medical care, and periodic and careful ophthalmologic examination by ophthalmologists knowledgeable and experienced in the management of diabetic macular edema. ^

A GENETIC MARKER STUDY OF NON - INSULIN DEPENDENT DIABETICS IN THE MEXICAN-AMERICAN COMMUNITY FROM STARR COUNTY, TEXAS (PLASMA GLUCOSE, HEMOGLOBIN ANALYSIS)

Diabetes mellitus occurs in two forms, insulin-dependent (IDDM, formerly called juvenile type) and non-insulin dependent (NIDDM, formerly called adult type). Prevalence figures from around the world for NIDDM, show that all societies and all races are affected; although uncommon in some populations (.4%), it is common (10%) or very common (40%) in others (Tables 1 and 2).^ In Mexican-Americans in particular, the prevalence rates (7-10%) are intermediate to those in Caucasians (1-2%) and Amerindians (35%). Information about the distribution of the disease and identification of high risk groups for developing glucose intolerance or its vascular manifestations by the study of genetic markers will help to clarify and solve some of the problems from the public health and the genetic point of view.^ This research was designed to examine two general areas in relation to NIDDM. The first aims to determine the prevalence of polymorphic genetic markers in two groups distinguished by the presence or absence of diabetes and to observe if there are any genetic marker-disease association (univariate analysis using two by two tables and logistic regression to study the individual and joint effects of the different variables). The second deals with the effect of genetic differences on the variation in fasting plasma glucose and percent glycosylated hemoglobin (HbAl) (analysis of Covariance for each marker, using age and sex as covariates).^ The results from the first analysis were not statistically significant at the corrected p value of 0.003 given the number of tests that were performed. From the analysis of covariance of all the markers studied, only Duffy and Phosphoglucomutase were statistically significant but poor predictors, given that the amount they explain in terms of variation in glycosylated hemoglobin is very small.^ Trying to determine the polygenic component of chronic disease is not an easy task. This study confirms the fact that a larger and random or representative sample is needed to be able to detect differences in the prevalence of a marker for association studies and in the genetic contribution to the variation in glucose and glycosylated hemoglobin. The importance that ethnic homogeneity in the groups studied and standardization in the methodology will have on the results has been stressed. ^

AN ILLNESS-DEATH PROCESS WITH TIME-DEPENDENT COVARIATES

A general model for the illness-death stochastic process with covariates has been developed for the analysis of survival data. This model incorporates important baseline and time-dependent covariates to make proper adjustment for the transition probabilities and survival probabilities. The follow-up period is subdivided into small intervals and a constant hazard is assumed for each interval. An approximation formula is derived to estimate the transition parameters when the exact transition time is unknown.^ The method developed is illustrated by using data from a study on the prevention of the recurrence of a myocardial infarction and subsequent mortality, the Beta-Blocker Heart Attack Trial (BHAT). This method provides an analytical approach which simultaneously includes provision for both fatal and nonfatal events in the model. According to this analysis, the effectiveness of the treatment can be compared between the Placebo and Propranolol treatment groups with respect to fatal and nonfatal events. ^

DIABETIC RETINOPATHY IN NON-INSULIN-DEPENDENT DIABETES MELLITUS IN BLACK WOMEN: A DESCRIPTIVE STUDY OF RISK FACTORS

This cross-sectional study examines the prevalence of selected potential risk factors by stage of diabetic retinopathy (DR) among Black American women with non-insulin-dependent diabetes mellitus (NIDDM) followed at a university diabetes clinic. DR was assessed by ophthalmoscopy and five-field retinography, and graded on counts of microaneurysms, hemorrhages and/or exudates, and presence of proliferative DR. Prevalence of other vascular diseases was assessed from medical records. Potential risk factors included age, known duration of diabetes, type of hypoglycemic treatment, concentrations of random capillary blood glucose, glycosylated hemoglobin, urine protein and fibrinogen, body mass index, and blood pressure. Prevalence of these risk factors is reported for three categories: No DR, mild background DR, severe background or proliferative DR (including surgically treated DR). Duration, age at diagnosis and treatment of diabetes, concentration of urine protein and average blood glucose, hypertension and cardiovascular disease were significantly associated with DR in univariate analysis. The covariance analysis employed stratification on duration, age at diagnosis and therapy of diabetes. The highest DR scores were calculated for those diagnosed before age 45, regardless of duration, therapy, or average blood glucose. Only individuals diagnosed before age 45 had high blood glucose concentrations in all categories of duration. These findings suggest that in this clinic population of Black women, those diagnosed with NIDDm before age 45 who eventually required insulin treatment were at the greatest risk of developing DR and that longterm poor glucose control is a contributing factor. These results suggest that greater emphasis be placed on this subgroup in allocating the limited resources available to improve the quality of glucose regulation, particularly through measures affecting compliance behavior.^ Findings concerning the association of DR with concentration of blood glucose and urine protein, blood pressure/hypertension and weight were compared with those reported from American Indian and Mexican American populations of the Southwestern United States where prevalence of NIDDM, hypertension and obesity is also high. Additional comparative analyses are outlined to substantiate the preliminary finding that there are systematic differences between these ethnic populations. ^

Understanding the roles of Non-homologous end joining and p53 after DNA damage

The inability to maintain genomic stability and control proliferation are hallmarks of many cancers, which become exacerbated in the presence of unrepaired DNA damage. Such genotoxic stresses trigger the p53 tumor suppressor network to activate transient cell cycle arrest allowing for DNA repair; if the damage is excessive or irreparable, apoptosis or cellular senescence is triggered. One of the major DNA repair pathway that mends DNA double strand breaks is non-homologous end joining (NHEJ). Abrogating the NHEJ pathway leads to an accumulation of DNA damage in the lymphoid system that triggers p53-mediated apoptosis; complete deletion of p53 in this system leads to aggressive lymphomagenesis. Therefore, to study the effect of p53-dependent cell cycle arrest, we utilized a hypomorphic, separation-of-function mutant, p53p/p, which completely abrogates apoptosis yet retains partial cell cycle arrest ability. We crossed DNA ligase IV deficiency, a downstream ligase crucial in mending breaks during NHEJ, into the p53p/p background (Lig4-/-p53p/p). The accumulation of DNA damage activated the p53/p21 axis to trigger cellular senescence in developing lymphoid cells, which absolutely suppressed tumorigenesis. Interestingly, these mice progressively succumb to severe diabetes. Mechanistic analysis revealed that spontaneous DNA damage accumulated in the pancreatic b-cells, a unique subset of endocrine cells solely responsible for insulin production to regulate glucose homeostasis. The genesis of adult b-cells predominantly occurs through self-replication, therefore modulating cellular proliferation is an essential component for renewal. The progressive accumulation of DNA damage, caused by Lig4-/-, activated p53/p21-dependent cellular senescence in mutant pancreatic b-cells that lead to islet involution. Insulin levels subsequently decreased, deregulating glucose homeostasis driving overt diabetes. Our Lig4-/-p53p/p model aptly depicts the dichotomous role of cellular senescence—in the lymphoid system prevents tumorigenesis yet in the endocrine system leads to the decrease of insulin-producing cells causing diabetes. To further delineate the function of NHEJ in pancreatic b-cells, we analyzed mice deficient in another component of the NHEJ pathway, Ku70. Although most notable for its role in DNA damage recognition and repair within the NHEJ pathway, Ku70 has NHEJ-independent functions in telomere maintenance, apoptosis, and transcriptional regulation/repression. To our surprise, Ku70-/-p53p/p mutant mice displayed a stark increase in b-cell proliferation, resulting in islet expansion, heightened insulin levels and hypoglycemia. Augmented b-cell proliferation was accompanied with the stabilization of the canonical Wnt pathway, responsible for this phenotype. Interestingly, the progressive onset of cellular senescence prevented islet tumorigenesis. This study highlights Ku70 as an important modulator in not only maintaining genomic stability through NHEJ-dependent functions, but also reveals a novel NHEJ-independent function through regulation of pancreatic b-cell proliferation. Taken in aggregate, these studies underscore the importance for NHEJ to maintain genomic stability in b-cells as well as introduces a novel regulator for pancreatic b-cell proliferation.

TRIM24-REGULATED ESTROGEN RESPONSE IS DEPENDENT ON SPECIFIC HISTONE MODIFICATIONS IN BREAST CANCER CELLS

In this dissertation, I discovered that function of TRIM24 as a co-activator of ERα-mediated transcriptional activation is dependent on specific histone modifications in tumorigenic human breast cancer-derived MCF7 cells. In the first part, I proved that TRIM24-PHD finger domain, which recognizes unmethylated histone H3 lysine K4 (H3K4me0), is critical for ERα-regulated transcription. Therefore, when LSD1-mediated demethylation of H3K4 is inhibited, activation of TRIM24-regulated ERα target genes is greatly impaired. Importantly, I demonstrated that TRIM24 and LSD1 are cyclically recruited to estrogen responsive elements (EREs) in a time-dependent manner upon estrogen induction, and depletion of their expression exert corresponding time-dependent effect on target gene activation. I also identified that phosphorylation of histone H3 threonine T6 disrupts TRIM24 from binding to the chromatin and from activating ERα-regulated targets. In the second part, I revealed that TRIM24 depletion has additive effect to LSD1 inhibitor- and Tamoxifen-mediated reduction in survival and proliferation in breast cancer cells.

Structure and biosynthesis of a pyruvate -dependent enzyme---phosphatidylserine decarboxylase from {\it Escherichia coli\/}

Phosphatidylserine decarboxylase of E. coli, a cytoplasmic membrane protein, catalyzes the formation of phosphatidylethanolamine, the principal phospholipid of the organism. The activity of the enzyme is dependent on a covalently bound pyruvate (Satre and Kennedy (1978) J. Biol. Chem. 253, 479-483). This study shows that the enzyme consists of two nonidentical subunits, $\alpha$ (Mr = 7,332) and $\beta$ (Mr = 28,579), with the pyruvate prosthetic group in amide linkage to the amino-terminus of the $\alpha$ subunit. Partial protein sequence and DNA sequence analysis reveal that the two subunits are derived from a proenzyme ($\pi$ subunit, Mr = 35,893) through a post-translational event. During the conversion of the proenzyme to the $\alpha$ and $\beta$ subunits, the peptide bond between Gly253-Ser254 is cleaved, and Ser254 is converted to the pyruvate prosthetic group at the amino-terminus of the $\alpha$ subunit (Li and Dowhan (1988) J. Biol. Chem. 263, 11516-11522).^ The proenzyme cannot be detected in cells carrying either single or multiple copies of the gene (psd), but can be observed in a T7 RNA polymerase/promoter and transcription-translation system. The cleavage of the wild-type proenzyme occurs rapidly with a half-time on the order of 2 min. Changing of the Ser254 to cysteine (S254C) or threonine (S254T) slows the cleavage rate dramatically and results in mutants with a half-time for processing of around 2-4 h. Change of the Ser254 to alanine (S254A) blocks the cleavage of the proenzyme. The reduced processing rate with the mutations of the proenzyme is consistent with less of the functional enzyme being made. Mutants S254C and S254T produce $\sim$15% and $\sim$1%, respectively, of the activity of the wild-type allele, but can still complement a temperature-sensitive mutant of the psd locus. Neither detectable activity nor complementation is observed by mutant S254A. These results are consistent with the hydroxyl-group of the Ser254 playing a critical role in the cleavage of the peptide bond Gly253-Ser254 of the pro-phosphatidylserine decarboxylase, and support the mechanism proposed by Snell and co-workers (Recsei and Snell (1984) Annu. Rev. Biochem. 53, 357-387) for the formation of the prosthetic group of pyruvate-dependent decarboxylases. ^

Age -period -cohort analysis: An extension of Cox's lifetable regression with time -dependent covariates

It is well known that an identification problem exists in the analysis of age-period-cohort data because of the relationship among the three factors (date of birth + age at death = date of death). There are numerous suggestions about how to analyze the data. No one solution has been satisfactory. The purpose of this study is to provide another analytic method by extending the Cox's lifetable regression model with time-dependent covariates. The new approach contains the following features: (1) It is based on the conditional maximum likelihood procedure using a proportional hazard function described by Cox (1972), treating the age factor as the underlying hazard to estimate the parameters for the cohort and period factors. (2) The model is flexible so that both the cohort and period factors can be treated as dummy or continuous variables, and the parameter estimations can be obtained for numerous combinations of variables as in a regression analysis. (3) The model is applicable even when the time period is unequally spaced.^ Two specific models are considered to illustrate the new approach and applied to the U.S. prostate cancer data. We find that there are significant differences between all cohorts and there is a significant period effect for both whites and nonwhites. The underlying hazard increases exponentially with age indicating that old people have much higher risk than young people. A log transformation of relative risk shows that the prostate cancer risk declined in recent cohorts for both models. However, prostate cancer risk declined 5 cohorts (25 years) earlier for whites than for nonwhites under the period factor model (0 0 0 1 1 1 1). These latter results are similar to the previous study by Holford (1983).^ The new approach offers a general method to analyze the age-period-cohort data without using any arbitrary constraint in the model. ^

The number and timing of time -dependent covariate measurements for the Cox regression model

The problem of analyzing data with updated measurements in the time-dependent proportional hazards model arises frequently in practice. One available option is to reduce the number of intervals (or updated measurements) to be included in the Cox regression model. We empirically investigated the bias of the estimator of the time-dependent covariate while varying the effect of failure rate, sample size, true values of the parameters and the number of intervals. We also evaluated how often a time-dependent covariate needs to be collected and assessed the effect of sample size and failure rate on the power of testing a time-dependent effect.^ A time-dependent proportional hazards model with two binary covariates was considered. The time axis was partitioned into k intervals. The baseline hazard was assumed to be 1 so that the failure times were exponentially distributed in the ith interval. A type II censoring model was adopted to characterize the failure rate. The factors of interest were sample size (500, 1000), type II censoring with failure rates of 0.05, 0.10, and 0.20, and three values for each of the non-time-dependent and time-dependent covariates (1/4,1/2,3/4).^ The mean of the bias of the estimator of the coefficient of the time-dependent covariate decreased as sample size and number of intervals increased whereas the mean of the bias increased as failure rate and true values of the covariates increased. The mean of the bias of the estimator of the coefficient was smallest when all of the updated measurements were used in the model compared with two models that used selected measurements of the time-dependent covariate. For the model that included all the measurements, the coverage rates of the estimator of the coefficient of the time-dependent covariate was in most cases 90% or more except when the failure rate was high (0.20). The power associated with testing a time-dependent effect was highest when all of the measurements of the time-dependent covariate were used. An example from the Systolic Hypertension in the Elderly Program Cooperative Research Group is presented. ^