A reduced model clarifies the role of feedback loops and time delays in the Drosophila circadian oscillator.

Although several detailed models of molecular processes essential for circadian oscillations have been developed, their complexity makes intuitive understanding of the oscillation mechanism difficult. The goal of the present study was to reduce a previously developed, detailed model to a minimal representation of the transcriptional regulation essential for circadian rhythmicity in Drosophila. The reduced model contains only two differential equations, each with time delays. A negative feedback loop is included, in which PER protein represses per transcription by binding the dCLOCK transcription factor. A positive feedback loop is also included, in which dCLOCK indirectly enhances its own formation. The model simulated circadian oscillations, light entrainment, and a phase-response curve with qualitative similarities to experiment. Time delays were found to be essential for simulation of circadian oscillations with this model. To examine the robustness of the simplified model to fluctuations in molecule numbers, a stochastic variant was constructed. Robust circadian oscillations and entrainment to light pulses were simulated with fewer than 80 molecules of each gene product present on average. Circadian oscillations persisted when the positive feedback loop was removed. Moreover, elimination of positive feedback did not decrease the robustness of oscillations to stochastic fluctuations or to variations in parameter values. Such reduced models can aid understanding of the oscillation mechanisms in Drosophila and in other organisms in which feedback regulation of transcription may play an important role.

Patient classification system: An integrated method for measuring nursing intensity and optimizing resource allocation

A patient classification system was developed integrating a patient acuity instrument with a computerized nursing distribution method based on a linear programming model. The system was designed for real-time measurement of patient acuity (workload) and allocation of nursing personnel to optimize the utilization of resources.^ The acuity instrument was a prototype tool with eight categories of patients defined by patient severity and nursing intensity parameters. From this tool, the demand for nursing care was defined in patient points with one point equal to one hour of RN time. Validity and reliability of the instrument was determined as follows: (1) Content validity by a panel of expert nurses; (2) predictive validity through a paired t-test analysis of preshift and postshift categorization of patients; (3) initial reliability by a one month pilot of the instrument in a practice setting; and (4) interrater reliability by the Kappa statistic.^ The nursing distribution system was a linear programming model using a branch and bound technique for obtaining integer solutions. The objective function was to minimize the total number of nursing personnel used by optimally assigning the staff to meet the acuity needs of the units. A penalty weight was used as a coefficient of the objective function variables to define priorities for allocation of staff.^ The demand constraints were requirements to meet the total acuity points needed for each unit and to have a minimum number of RNs on each unit. Supply constraints were: (1) total availability of each type of staff and the value of that staff member (value was determined relative to that type of staff's ability to perform the job function of an RN (i.e., value for eight hours RN = 8 points, LVN = 6 points); (2) number of personnel available for floating between units.^ The capability of the model to assign staff quantitatively and qualitatively equal to the manual method was established by a thirty day comparison. Sensitivity testing demonstrated appropriate adjustment of the optimal solution to changes in penalty coefficients in the objective function and to acuity totals in the demand constraints.^ Further investigation of the model documented: correct adjustment of assignments in response to staff value changes; and cost minimization by an addition of a dollar coefficient to the objective function. ^

Identification and characterization of genes encoding phospholipid biosynthetic enzymes of {\it Saccharomyces cerevisiae\/}

Phospholipids are the major component of cellular membranes. In addition to its structural role, phospholipids play an active and diverse role in cellular processes. The goal of this study is to identify the genes involved in phospholipid biosynthesis in a model eukaryotic system, Saccharomyces cerevisiae. We have focused on the biosynthetic steps localized in the inner mitochondrial membrane; hence, the identification of the genes encoding phosphatidylserine decarboxylase (PSD1), cardiolipin synthase (CLS1), and phosphatidylglycerophosphate synthase (PGS1).^ The PSD1 gene encoding a phosphatidylserine decarboxylase was cloned by complementation of a conditional lethal mutation in the homologous gene in Escherichia coli strain EH150. Overexpression of the PSD1 gene in wild type yeast resulted in 20-fold amplification of phosphatidylserine decarboxylase activity. Disruption of the PSD1 gene resulted in 20-fold reduction of decarboxylase activity, but the PSD1 null mutant exhibited essentially normal phenotype. These results suggest that yeast has a second phosphatidylserine decarboxylation activity.^ Cardiolipin is the major anionic phospholipid of the inner mitochondrial membrane. It is thought to be an essential component of many biochemical functions. In eukaryotic cells, cardiolipin synthase catalyzes the final step in the synthesis of cardiolipin from phosphatidylglycerol and CDP-diacylglycerol. We have cloned the gene CLS1. Overexpression of the CLS1 gene product resulted in significantly elevated cardiolipin synthase activity, and disruption of the CLS1 gene, confirmed by PCR and Southern blot analysis, resulted in a null mutant that was viable and showed no petite phenotype. However, phospholipid analysis showed undetectable cardiolipin level and an accumulation of phosphatidylglycerol. These results support the conclusion that CLS1 encodes the cardiolipin synthase of yeast and that normal levels of cardiolipin are not absolutely essential for survival of the cell.^ Phosphatidylglycerophosphate (PGP) synthase catalyzes the synthesis of PGP from CDP-diacylglycerol and glycerol-3-phosphate and functions as the committal and rate limiting step in the biosynthesis of cardiolipin. We have identified the PGS1 gene as encoding the PGP synthase. Overexpression of the PGS1 gene product resulted in over 15-fold increase in in vitro PGP synthase activity. Disruption of the PGS1 gene in a haploid strain of yeast, confirmed by Southern blot analysis, resulted in a null mutant strain that was viable but had significantly altered phenotypes, i.e. inability to grow on glycerol and at $37\sp\circ$C. These cells showed over a 10-fold decrease in PGP synthase activity and a decrease in both phosphatidylglycerol and cardiolipin levels. These results support the conclusion that PGS1 encodes the PGP synthase of yeast and that neither phosphatidylglycerol nor cardiolipin are absolutely essential for survival of the cell. ^

The evolution of paired domains

Pax genes are important developmental control genes. They are involved in nervous system development, organogenesis and oncogenesis. A DNA specific binding domain called the paired domain, which is well conserved during evolution, defines Pax genes. Furthermore, Pax genes are also conserved in terms of their functions. For example, the Pax-6 gene has been showed to be one of the master control genes for eye development both in Drosophila and vertebrates. All of these properties of Pax genes make them an excellent model for studying the evolution of gene function. ^ Molecular evolutionary studies of paired domain are carried out in this study. Five Pax genes from cnidarians, which are the most primitive organisms possessing a nervous system, were isolated and characterized for their DNA binding properties. By combining data obtained from Genbank and this study, the phylogenetic relationship between Pax genes was studied. It was found that Pax genes could be divided into five groups: Pax-1/9, Pax-3 /7, Pax-A, Pax-2/5/ 8/B, and Pax- 4/6. Furthermore, Pax-2/5/8/ B, Pax-A and Pax-4/6 could be clustered into a supergroup I, while Pax-1/9 and Pax-3/7 could be clustered into supergroup II. The phylogeny was also supported by studies on DNA binding properties of paired domains from different groups. A statistical method was applied to infer the critical amino acid residue substitutions between two supergroups and within the supergroup I. It was found that two amino acid residues were mainly responsible for the difference of DNA binding between two supergroups, while only one amino acid was critical for the evolution of novel DNA binding properties of Pax-4/6 group from ancestor. Evolutionary implications of these data are also discussed. ^

Mixed effects model in negative exponential curve

Despite many researches on development in education and psychology, not often is the methodology tested with real data. A major barrier to test the growth model is that the design of study includes repeated observations and the nature of the growth is nonlinear. The repeat measurements on a nonlinear model require sophisticated statistical methods. In this study, we present mixed effects model in a negative exponential curve to describe the development of children's reading skills. This model can describe the nature of the growth on children's reading skills and account for intra-individual and inter-individual variation. We also apply simple techniques including cross-validation, regression, and graphical methods to determine the most appropriate curve for data, to find efficient initial values of parameters, and to select potential covariates. We illustrate with an example that motivated this research: a longitudinal study of academic skills from grade 1 to grade 12 in Connecticut public schools. ^

The type-A horizontal cell: GABAergic characteristics and role in development of the outer plexiform layer

Morphological analysis of neonatal rabbit retina suggests that the type-A horizontal cell acts as the pioneer cell for development of the OPL. It is the first mature element of the OPL, and it forms the infrastructure upon which the OPL accrues. The role of type-A horizontal cells in influencing postnatal development of the OPL was examined.^ GABAergic characteristics of the type-A horizontal cell were defined. The type-A horizontal cell was found to possess two more GABAergic characteristics in addition to those previously demonstrated, during a short period in early postnatal development: endogenous stores of GABA and the GABA precursor, glutamate. Lesioning the type-A horizontal cell resulted in their permanent loss in addition to the disappearance of cone terminals and a dramatic increase in rod terminals within the OPL. Thus the type-A cells are not a necessary prerequisite for positioning the OPL in postnatal development, but may be necessary for establishment of the normal photoreceptor mosaic.^ Since type-A horizontal cells possess a number of GABAergic qualities during the period of cone photoreceptor cell differentiation, and there are reports of GABA's trophic action in other developing neuronal systems; the role that GABAergic type-A horizontal cells play in directing photoreceptor differentiation was examined.^ Disrupting effects of GABA-A receptor antagonists indicate that type-A horizontal cells act as postsynaptic targets for the growing cone terminals of photoreceptor cells. These trophic or synaptic interactions may involve GABA-A receptors activated by GABA released from horizontal cells. These findings are consistent with the hypothesis that type-A horizontal cells act as pioneering cells in directing the postnatal development of the OPL.^ These studies offer an in depth analysis of the structural and chemical relationship between type-A horizontal cells and other elements of the OPL from which the roles of type-A horizontal cells and the GABA system in development can be defined. They contribute to our knowledge of both structural and GABAergic mechanisms involved in central nervous system development. ^

TRANSCRIPTIONAL AND POST-TRANSLATIONAL MECHANISMS CONTRIBUTE TO MAINTENANCE OF REST IN NEURAL TUMORS

The RE-1 silencing transcription factor (REST) is an important regulator of normal nervous system development. It negatively regulates neuronal lineage specification in neural progenitors by binding to its consensus RE-1 element(s) located in the regulatory region of its target neuronal differentiation genes. The developmentally coordinated down-regulation of REST mRNA and protein in neural progenitors triggers terminal neurogenesis. REST is overexpressed in pediatric neural tumors such as medulloblastoma and neuroblastoma and is associated with poor neuronal differentiation. High REST protein correlate with poor prognosis for patients with medulloblastoma, however similar studies have not been done with neuroblastoma patients. Mechanism(s) underlying elevated REST levels medulloblastoma and neuroblastoma are unclear, and is the focus of this thesis project. We discovered that transcriptional and post-translational mechanisms govern REST mis-regulation in medulloblastoma and neuroblastoma. In medulloblastoma, REST transcript is aberrantly elevated in a subset of patient samples. Using loss of function and gain of function experiments, we provide evidence that the Hairy Enhancer of Split (HES1) protein represses REST transcription in medulloblastoma cell lines, modulates the expression of neuronal differentiation genes, and alters the survival potential of these cells in vitro. We also show that REST directly represses its own expression in an auto-regulatory feedback loop. Interestingly, our studies identified a novel interaction between REST and HES1. We also observed their co-occupancy at the RE-1 sites, thereby suggesting potential for co-regulation of REST expression. Our pharmacological studies in neuroblastoma using retinoic acid revealed that REST levels are controlled by transcriptional and post-transcriptional mechanisms. Post-transcriptional mechanisms are mediated by modulation of E3 ligase or REST, SCFβ-TRCP, and contribute to resistance of some cells to retinoic acid treatment.