Calculus Volume 2

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates.https://commons.erau.edu/oer-textbook/1001/thumbnail.jp

Mouse Fkbp8 activity is required to inhibit cell death and establish dorso-ventral patterning in the posterior neural tube

Neural tube defects (NTDs) are birth defects that can be disabling or lethal and are second in their prevalence after cardiac defects among major human congenital malformations. Spina bifida is a NTD where the spinal cord is dysplastic, and the overlying spinal column is absent. At present, the molecular mechanisms underlying the spinal bifida development are largely unknown. In this study, we present a Fkbp8 mouse mutant that has an isolated and completely penetrant spina bifida, which is folate- and inositol-resistant. Fkbp8 mutants are not embryo lethal, but they display striking features of human spina bifida, including a dysplastic spinal cord, open neural canal and disability. The loss of Fkbp8 leads to increased apoptosis in the posterior neural tube, demonstrating that in vivo FKBP8 inhibits cell death. Gene expression analysis of Fkbp8 mutants revealed a perturbation of expression of neural tube patterning genes, suggesting that endogenous FKBP8 activity establishes dorso-ventral patterning of the neural tube. These studies demonstrate that Fkbp8 is not important for embryo survival, but is essential for spinal neural tube patterning, and to block apoptosis, in the developing neural tube. The mutant Fkbp8 allele is a new experimental model which will be useful in dissecting the pathogenesis of spinal NTDs, and enhance our understanding of the etiology of human NTDs. © The Author 2007. Published by Oxford University Press. All rights reserved