2 resultados para Exponential growth

em DigitalCommons@The Texas Medical Center


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Molecular and cytogenetic analyses of human glioblastomas have revealed frequent genetic alterations, including major deletions in chromosomes 9, 10, and 17, suggesting the presence of glioma-associated tumor suppressor genes on these chromosomes. To examine this hypothesis, copies of chromosomes 2, 4, and 10 derived from a human fibroblast cell line were independently introduced into a human glioma cell line, U251, by microcell-mediated chromosomal transfer. Successful transfer of chromosomes in each case was confirmed by resistance to the drug G418, indicating the presence of the neomycin-resistance gene previously integrated into each transferred chromosome. The presence of novel chromosomes and or chromosomal fragments was also demonstrated by molecular and karyotypic analyses. The hybrid clones containing either a novel chromosome 4 or chromosome 10 displayed suppression of the tumorigenic phenotype in vivo and suppression of the transformed phenotype in vitro, while cells containing a transferred chromosome 2 failed to alter their tumorigenic phenotype. The hybrid cells containing chromosome 4 or 10 exhibited a significant decrease in their saturation density, altered cellular morphology at high cell density, but only a slight decrease in their exponential growth rate. A dramatic decrease was observed in growth of cells with chromosome 4 or 10 in soft agarose, with the number and size of the colonies being greatly reduced, compared to the parental or chromosome 2 containing cells. The introduction of chromosome 4 or 10 also completely suppressed tumor formation in nude mice. These studies indicate that chromosome 10, as hypothesized, and chromosome 4, a novel finding for gliomas, harbor tumor suppressor loci that may be directly involved in the initiation or progression of normal glial precursors to human glioblastoma multiforme. ^

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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. ^