MATHEMATICAL STUDIES ON THE EVOLUTIONARY CHANGE OF DNA SEQUENCES

With the aim of understanding the mechanism of molecular evolution, mathematical problems on the evolutionary change of DNA sequences are studied. The problems studied and the results obtained are as follows: (1) Estimation of evolutionary distance between nucleotide sequences. Studying the pattern of nucleotide substitution for the case of unequal substitution rates, a new mathematical formula for estimating the average number of nucleotide substitutions per site between two homologous DNA sequences is developed. It is shown that this formula has a wider applicability than currently available formulae. A statistical method for estimating the number of nucleotide changes due to deletion and insertion is also developed. (2) Biases of the estimates of nucleotide substitutions obtained by the restriction enzyme method. The deviation of the estimate of nucleotide substitutions obtained by the restriction enzyme method from the true value is investigated theoretically. It is shown that the amount of the deviation depends on the nucleotides in the recognition sequence of the restriction enzyme used, unequal rates of substitution among different nucleotides, and nucleotide frequences, but the primary factor is the unequal rates of nucleotide substitution. When many different kinds of enzymes are used, however, the amount of average deviation is generally small. (3) Distribution of restriction fragment lengths. To see the effect of undetectable restriction fragments and fragment differences on the estimate of nucleotide differences, the theoretical distribution of fragment lengths is studied. This distribution depends on the type of restriction enzymes used as well as on the relative frequencies of four nucleotides. It is shown that undetectability of small fragments or fragment differences gives a serious underestimate of nucleotide substitutions when the length-difference method of estimation is used, but the extent of underestimation is small when the site-difference method is used. (4) Evolutionary relationships of DNA sequences in finite populations. A mathematical theory on the expected evolutionary relationships among DNA sequences (nucleons) randomly chosen from the same or different populations is developed under the assumption that the evolutionary change of nucleons is determined solely by mutation and random genetic drift. . . . (Author's abstract exceeds stipulated maximum length. Discontinued here with permission of author). UMI ^

The impact of social support networks on compliance with hypertensive therapeutic regimens among noninstitutionalized black adults

A conceptual framework based on the Health Belief Model was proposed which identified those factors most significant in the prediction of compliance behavior. The hypothesized model was applied to analyze the effects of sociodemographic characteristics, self-assessed health status, and social support networks on compliance with antihypertensive regimens, focusing on black adults.^ The study population was selected from the National Health and Examination Survey II (NHANES II) which produced a sample of 3,957 eligible persons 35-74 years of age.^ The study addressed the following research questions: (a) what is the relationship between demographic variables and self-assessed health status, (b) what is the relationship between social support network and self-assessed health status, (c) what is the compliance, (d) what factors, e.g., demographic characteristics, social support network, self-assessed health status, are most related to compliance, and (e) does the effect of these factors on compliance differ between black and white adults?^ The results of the study found that blacks: (a) had poorer health than whites, and education and income were significantly related to self-assessed health status, (b) the stronger social support networks of blacks, the better their health status, and (c) older blacks and those in poorer health were more likely to comply with recommended treatment. The hypothesized conceptual model for the prediction of compliance behavior was partially substantiated for both blacks and whites.^ Implications for the application of the conceptual model are also discussed. ^

Three linked enzyme loci in fishes: implications in the evolution of vertebrate chromosomes.

A three-point linkage group comprised of loci coding for adenosine deaminase (ADA), glucose-6-phosphate dehydrogenase (G6PDH), and 6-phospho-gluconate dehydrogenase (6PGD) is described in fish of the genus Xiphophorus (Poeciliidae). The alleles at loci in this group were shown to assort independently from the alleles at three other loci--isocitrate dehydrogenase 1 and 2, and glyceraldehyde-3-phosphate dehydrogenase 1. Alleles at the latter three loci also assort independently from each other. Data were obtained by observing the segregation of electrophoretically variant alleles in reciprocal backcross hybrids derived from crosses between either X. helleri guentheri or X. h. strigatus and X. maculatus. The linkage component of chi2 was significant (less than 0.01) in all crosses, indicating that the linkage group is conserved in all populations of both species of Xiphophorus examined. While data from X. h. guentheri backcrosses indicate the linkage relationship ADA--6%--G6PDH--24%--6PGD, and ADA--29%--6PGD (30% when corrected for double crossovers), data from backcrosses involving strigatus, while supporting the same gene order, yielded significantly different recombination frequencies. The likelihood of the difference being due to an inversion could not be separated from the possibility of a sex effect on recombination in the present data. The linkage of 6PGD and G6PDH has been shown to exist in species of at least three classes of vertebrates, indicating the possibility of evolutionary conservation of this linkage.

Functional and motor neuronal analysis of defensive siphon responses in {\it Aplysia californica}

One of the central goals of neuroscience research is to determine how networks of neurons control and modify behavior. One of the most influential model systems for this kind of analysis is the siphon and gill withdrawal reflex of the marine mollusc A. californica. In response to tactile stimulation, the siphon displays 3 different responses: (1) a posterior pointing and leveling (flaring) of the siphon in response to tail stimulation (the siphon T response), (2) constriction and anterior pointing to head stimulation (the siphon H response) and (3) constriction and withdrawal between the animal's parapodia (the siphon S response). The siphon S response is pseudoconditioned by a noxious tail stimulus to resemble the siphon T response. Behavioral and combined behavioral/intracellular studies were conducted to determine the motor neuronal control of these behaviors and to search for mechanisms of siphon response transformation following pseudoconditioning. The present studies have found that the flaring component of pseudoconditioned siphon S responses occurs during mantle pumping (MP) triggered by noxious tail stimulation. Siphon stimulation also triggers MP, as recorded in neurons of the Interneuron II pattern generator which commands MP. The 4 LF$\rm\sb{SB}$ siphon motor neurons (SMNs) were found necessary and sufficient for the siphon T response, while SMNs RD$\rm\sb S$ and LD$\rm\sb{S1}$ were found necessary and sufficient for the siphon H response. Following pseudoconditioning, there is an increase in the number of evoked spikes to the test stimulus for the LF$\rm\sb{SB}$ cells and a decreased number for RD$\rm\sb S.$ Siphon flaring occurring during the pseudoconditioned response correlates with increased LF$\rm\sb{SB}$ activity during triggered MP cycles. This suggests that psuedoconditioning is in part due to reconfiguration of the motor outputs of the Interneuron II network. These results suggest that these defensive responses are controlled and patterned by a well-defined, finite set of motor neurons and interneurons (Interneuron II) that are dedicated to specific behavioral functions, but also have parallel distributed properties. ^

Models of DNA sequence evolution

Models of DNA sequence evolution and methods for estimating evolutionary distances are needed for studying the rate and pattern of molecular evolution and for inferring the evolutionary relationships of organisms or genes. In this dissertation, several new models and methods are developed.^ The rate variation among nucleotide sites: To obtain unbiased estimates of evolutionary distances, the rate heterogeneity among nucleotide sites of a gene should be considered. Commonly, it is assumed that the substitution rate varies among sites according to a gamma distribution (gamma model) or, more generally, an invariant+gamma model which includes some invariable sites. A maximum likelihood (ML) approach was developed for estimating the shape parameter of the gamma distribution $(\alpha)$ and/or the proportion of invariable sites $(\theta).$ Computer simulation showed that (1) under the gamma model, $\alpha$ can be well estimated from 3 or 4 sequences if the sequence length is long; and (2) the distance estimate is unbiased and robust against violations of the assumptions of the invariant+gamma model.^ However, this ML method requires a huge amount of computational time and is useful only for less than 6 sequences. Therefore, I developed a fast method for estimating $\alpha,$ which is easy to implement and requires no knowledge of tree. A computer program was developed for estimating $\alpha$ and evolutionary distances, which can handle the number of sequences as large as 30.^ Evolutionary distances under the stationary, time-reversible (SR) model: The SR model is a general model of nucleotide substitution, which assumes (i) stationary nucleotide frequencies and (ii) time-reversibility. It can be extended to SRV model which allows rate variation among sites. I developed a method for estimating the distance under the SR or SRV model, as well as the variance-covariance matrix of distances. Computer simulation showed that the SR method is better than a simpler method when the sequence length $L>1,000$ bp and is robust against deviations from time-reversibility. As expected, when the rate varies among sites, the SRV method is much better than the SR method.^ The evolutionary distances under nonstationary nucleotide frequencies: The statistical properties of the paralinear and LogDet distances under nonstationary nucleotide frequencies were studied. First, I developed formulas for correcting the estimation biases of the paralinear and LogDet distances. The performances of these formulas and the formulas for sampling variances were examined by computer simulation. Second, I developed a method for estimating the variance-covariance matrix of the paralinear distance, so that statistical tests of phylogenies can be conducted when the nucleotide frequencies are nonstationary. Third, a new method for testing the molecular clock hypothesis was developed in the nonstationary case. ^

'Reform' of the British national health service after the election of a labour government: Understanding the policy development process

The policy development process leading to the Labour government's white paper of December 1997—The new NHS: Modern, Dependable—is the focus of this project and the public policy development literature is used to aid in the understanding of this process. Policy makers who had been involved in the development of the white paper were interviewed in order to acquire a thorough understanding of who was involved in this process and how they produced the white paper. A theoretical framework is used that sorts policy development models into those that focus on knowledge and experience, and those which focus on politics and influence. This framework is central to understanding the evidence gathered from the individuals and associations that participated in this policy development process. The main research question to be asked in this project is to what extent do either of these sets of policy development models aid in understanding and explicating the process by which the Labour government's policies were developed. The interview evidence, along with published evidence, show that a clear pattern of policy change emerged from this policy development process, and the Knowledge-Experience and Politics-Influence policy making models both assist in understanding this process. The early stages of the policy development process were characterized as hierarchical and iterative, yet also very collaborative among those participating, with knowledge and experience being quite prevalent. At every point in the process, however, informal networks of political influence were used and noted to be quite prevalent by all of the individuals interviewed. The later stages of the process then became increasingly noninclusive, with decisions made by a select group of internal and external policy makers. These policy making models became an important tool with which to understand the policy development process. This Knowledge-Experience and Politics-Influence dichotomy of policy development models could therefore be useful in analyzing other types of policy development. ^

Use of light intensity, temperature, and humidity to verify exposure location

Research studies on the association between exposures to air contaminants and disease frequently use worn dosimeters to measure the concentration of the contaminant of interest. But investigation of exposure determinants requires additional knowledge beyond concentration, i.e., knowledge about personal activity such as whether the exposure occurred in a building or outdoors. Current studies frequently depend upon manual activity logging to record location. This study's purpose was to evaluate the use of a worn data logger recording three environmental parameters—temperature, humidity, and light intensity—as well as time of day, to determine indoor or outdoor location, with an ultimate aim of eliminating the need to manually log location or at least providing a method to verify such logs. For this study, data collection was limited to a single geographical area (Houston, Texas metropolitan area) during a single season (winter) using a HOBO H8 four-channel data logger. Data for development of a Location Model were collected using the logger for deliberate sampling of programmed activities in outdoor, building, and vehicle locations at various times of day. The Model was developed by analyzing the distributions of environmental parameters by location and time to establish a prioritized set of cut points for assessing locations. The final Model consisted of four "processors" that varied these priorities and cut points. Data to evaluate the Model were collected by wearing the logger during "typical days" while maintaining a location log. The Model was tested by feeding the typical day data into each processor and generating assessed locations for each record. These assessed locations were then compared with true locations recorded in the manual log to determine accurate versus erroneous assessments. The utility of each processor was evaluated by calculating overall error rates across all times of day, and calculating individual error rates by time of day. Unfortunately, the error rates were large, such that there would be no benefit in using the Model. Another analysis in which assessed locations were classified as either indoor (including both building and vehicle) or outdoor yielded slightly lower error rates that still precluded any benefit of the Model's use.^

A qualitative and quantitative assessment of cancer patients' perceptions of barriers to treatment

This study examined barriers that cancer patients experience in obtaining treatment. The principal aim of the study was to conduct a comprehensive quantitative and qualitative assessment of barriers to cancer treatment for Texas cancer patients. The three specific aims of the study were to: (1) conduct a review and critique of published and unpublished research on barriers to cancer treatment; (2) conduct focus groups for the qualitative assessment of cancer patients' perceived barriers to cancer treatment; and (3) survey a representative sample of cancer patients regarding perceived barriers to treatment. The study was guided by the Aday and Andersen access framework of predisposing, enabling, and need determinants of care-seeking.^ To address the first specific aim, a total of 732 abstracts were examined, from which 154 articles were selected for review. Of these 154 articles, 57 that related directly to research on barriers to cancer treatment were chosen for subsequent analysis. Criteria were applied to each article to evaluate the strength of the study design, sampling and measurement procedures. The major barriers that were consistently documented to influence whether or not cancer patients sought or continued required treatment included problems with communication between the patient and provider, lack of information on side effects, the cost of treatment and associated difficulties in obtaining and maintaining insurance coverage, and the absence of formal and informal networks of social support. Access barriers were generally greater for older, minority women, and patients of lower socioeconomic status.^ To address the second specific aim, a total of eight focus groups (n = 44) were conducted across the State of Texas with cancer patients identified by the Texas Community Oncology Network, American Cancer Society, and community health centers. One important finding was that cost is the greatest hurdle that patients face. Another finding was that with the health care/insurance crisis, an increasing number of physicians are working with their patients to develop individually-tailored payment plans. For people in rural areas, travel to treatment sites is a major barrier due to the travel costs as well as work time forfeited by patients and their family members. A third major finding was the patients' family and church play important roles in providing social and emotional support for cancer patients.^ To address the third aim, a total of 910 cancer patients were surveyed during October and November, 1993. Approximately 65% of the cancer patients responded to the survey. The findings showed that the major barriers to treatment included costs of medications and diagnostic tests, transportation, lack of social support, problems understanding the written information regarding their disease as well as losing coverage or having higher premiums or copayments once they were diagnosed (particularly among blacks).^ Significant differences in reported barriers were found between racial groups. The minority respondents (i.e., blacks and Hispanics) tended to experience more barriers to treatment compared to the white respondents. More specifically, Hispanics were more likely to report transportation as a barrier to treatment than both white and blacks. Future research is needed to better understand the problems that minority cancer patients experience in receiving treatment. (Abstract shortened by UMI.) ^

Targeted Deletion Of Functionally Validated Enhancers Defines Their Role in Mouse Limb Development

Transcriptional enhancers are genomic DNA sequences that contain clustered transcription factor (TF) binding sites. When combinations of TFs bind to enhancer sequences they act together with basal transcriptional machinery to regulate the timing, location and quantity of gene transcription. Elucidating the genetic mechanisms responsible for differential gene expression, including the role of enhancers, during embryological and postnatal development is essential to an understanding of evolutionary processes and disease etiology. Numerous methods are in use to identify and characterize enhancers. Several high-throughput methods generate large datasets of enhancer sequences with putative roles in embryonic development. However, few enhancers have been deleted from the genome to determine their roles in the development of specific structures, such as the limb. Manipulation of enhancers at their endogenous loci, such as the deletion of such elements, leads to a better understanding of the regulatory interactions, rules and complexities that contribute to faithful and variant gene transcription – the molecular genetic substrate of evolution and disease. To understand the endogenous roles of two distinct enhancers known to be active in the mouse embryo limb bud we deleted them from the mouse genome. I hypothesized that deletion of these enhancers would lead to aberrant limb development. The enhancers were selected because of their association with p300, a protein associated with active transcription, and because the human enhancer sequences drive distinct lacZ expression patterns in limb buds of embryonic day (E) 11.5 transgenic mice. To confirm that the orthologous mouse enhancers, mouse 280 and 1442 (M280 and M1442, respectively), regulate expression in the developing limb we generated stable transgenic lines, and examined lacZ expression. In M280-lacZ mice, expression was detected in E11.5 fore- and hindlimbs in a region that corresponds to digits II-IV. M1442-lacZ mice exhibited lacZ expression in posterior and anterior margins of the fore- and hindlimbs that overlapped with digits I and V and several wrist bones. We generated mice lacking the M280 and M1442 enhancers by gene targeting. Intercrosses between M280 -/+ and M1442 -/+, respectively, generated M280 and M1442 null mice, which are born at expected Mendelian ratios and manifest no gross limb malformations. Quantitative real-time PCR of mutant E11.5 limb buds indicated that significant changes in transcriptional output of enhancer-proximal genes accompanied the deletion of both M280 and M1442. In neonatal null mice we observed that all limb bones are present in their expected positions, an observation also confirmed by histology of E18.5 distal limbs. Fine-scale measurement of E18.5 digit bone lengths found no differences between mutant and control embryos. Furthermore, when the developmental progression of cartilaginous elements was analyzed in M280 and M1442 embryos from E13.5-E15.5, transient development defects were not detected. These results demonstrate that M280 and M1442 are not required for mouse limb development. Though M280 is not required for embryonic limb development it is required for the development and/or maintenance of body size – adult M280 mice are significantly smaller than control littermates. These studies highlight the importance of experiments that manipulate enhancers in situ to understand their contribution to development.