Problems with Using the Normal Distribution – and Ways to Improve Quality and Efficiency of Data Analysis

Background: The Gaussian or normal distribution is the most established model to characterize quantitative variation of original data. Accordingly, data are summarized using the arithmetic mean and the standard deviation, by x 6 SD, or with the standard error of the mean, x 6 SEM. This, together with corresponding bars in graphical displays has become the standard to characterize variation. Methodology/Principal Findings: Here we question the adequacy of this characterization, and of the model. The published literature provides numerous examples for which such descriptions appear inappropriate because, based on the ‘‘95 % range check’’, their distributions are obviously skewed. In these cases, the symmetric characterization is a poor description and may trigger wrong conclusions. To solve the problem, it is enlightening to regard causes of variation. Multiplicative causes are by far more important than additive ones, in general, and benefit from a multiplicative (or log-) normal approach. Fortunately, quite similar to the normal, the log-normal distribution can now be handled easily and characterized at the level of the original data with the help of both, a new sign, x /, times-divide, and notation. Analogous to x 6 SD, it connects the multiplicative (or geometric) mean x * and the multiplicative standard deviation s * in the form x * x /s*, that is advantageous and recommended. Conclusions/Significance: The corresponding shift from the symmetric to the asymmetric view will substantially increas

Growth of single crystals in the (Na1/2Bi1/2)TiO3-(Sr1-xCax)TiO3 system by solid state crystal growth

Ceramics based on (Na1/2B1/2)TiO3 are promising candidates for actuator applications because of large strains generated by an electric field-induced phase transition. For example, the (1-x)(Na1/2Bi1/2)TiO3-xSrTiO(3) system exhibits a morphotropic phase boundary at x = 0.2-0.3, leading to high values of inverse piezoelectric constant d*(33), which can be further improved by the use of single crystals. In our previous work, single crystals of (Na1/2B1/2)TiO3-SrTiO3 and (Na1/2B1/2)TiO3-CaTiO3 were grown by the solid state crystal growth technique. Growth in the (Na1/2B1/2)TiO3-SrTiO3 system was sluggish whereas the (Na1/2B1/2)TiO3-CaTiO3 single crystals grew well. In the present work, 0.8(Na1/2Bi1/2)TiO3-0.2(Sr1-xCax)TiO3 single crystals (with x = 0.0, 0.1, 0.2, 0.3, 0.4) were produced by the solid state crystal growth technique in an attempt to improve crystal growth rate. The dependence of mean matrix grain size, single crystal growth distance, and electrical properties on the Ca concentration was investigated in detail. These investigations indicated that at x = 0.3 the matrix grain growth was suppressed and the driving force for single crystal growth was enhanced. Replacing Sr with Ca increased the shoulder temperature T-s and temperature of maximum relative permittivity T-max, causing a decrease in inverse piezoelectric properties and a change from normal to incipient ferroelectric behavior

Editing the genome of chicken primordial germ cells to introduce alleles and study gene function

With continuing advances in genome sequencing technology, the chicken genome assembly is now better annotated with improved accuracy to the level of single nucleotide polymorphisms. Additionally, the genomes of other birds such as the duck, turkey and zebra finch have now been sequenced. A great opportunity exists in avian biology to use genome editing technology to introduce small and defined sequence changes to create specific haplotypes in chicken to investigate gene regulatory function, and also perform rapid and seamless transfer of specific alleles between chicken breeds. The methods for performing such precise genome editing are well established for mammalian species but are not readily applicable in birds due to evolutionary differences in reproductive biology. A significant leap forward to address this challenge in avian biology was the development of long-term culture methods for chicken primordial germ cells (PGCs). PGCs present a cell line in which to perform targeted genetic manipulations that will be heritable. Chicken PGCs have been successfully targeted to generate genetically modified chickens. However, genome editing to introduce small and defined sequence changes has not been demonstrated in any avian species. To address this deficit, the application of CRISPR/Cas9 and short oligonucleotide donors in chicken PGCs for performing small and defined sequence changes was investigated in this thesis. Specifically, homology-directed DNA repair (HDR) using oligonucleotide donors along with wild-type CRISPR/Cas9 (SpCas9-WT) or high fidelity CRISPR/Cas9 (SpCas9-HF1) was investigated in cultured chicken PGCs. The results obtained showed that small sequences changes ranging from a single to a few nucleotides could be precisely edited in many loci in chicken PGCs. In comparison to SpCas9-WT, SpCas9-HF1 increased the frequency of biallelic and single allele editing to generate specific homozygous and heterozygous genotypes. This finding demonstrates the utility of high fidelity CRISPR/Cas9 variants for performing sequence editing with high efficiency in PGCs. Since PGCs can be converted into pluripotent stem cells that can potentially differentiate into many cell types from the three germ layers, genome editing of PGCs can, therefore, be used to generate PGC-derived avian cell types with defined genetic alterations to investigate the host-pathogen interactions of infectious avian diseases. To investigate this possibility, the chicken ANP32A gene was investigated as a target for genetic resistance to avian influenza virus in PGC-derived chicken cell lines. Targeted modification of ANP32A was performed to generate clonal lines of genome-edited PGCs. Avian influenza minigenome replication assays were subsequently performed in the ANP32A-mutant PGC-derived cell lines. The results verified that ANP32A function is crucial for the function of both avian virus polymerase and human-adapted virus polymerase in chicken cells. Importantly, an asparagine to isoleucine mutation at position 129 (N129I) in chicken ANP32A failed to support avian influenza polymerase function. This genetic change can be introduced into chickens and validated in virological studies. Importantly, the results of my investigation demonstrate the potential to use genome editing of PGCs as an approach to generate many types of unique cell models for the study of avian biology. Genome editing of PGCs may also be applied to unravel the genes that control the development of the avian germ cell lineage. In the mouse, gene targeting has been extensively applied to generate loss-of-function mouse models to use the reverse genetics approach to identify key genes that regulate the migration of specified PGCs to the genital ridges. Avian PGCs express similar cytokine receptors as their mammalian counterparts. However, the factors guiding the migration of avian PGCs are largely unknown. To address this, CRISPR/Cas9 was used in this thesis to generate clonal lines of chicken PGCs with loss-of-function deletions in the CXCR4 and c-Kit genes which have been implicated in controlling mouse PGC migration. The results showed that CXCR4-deficient PGCs are absent from the gonads whereas c-Kit-deficient PGCs colonise the developing gonads in reduced numbers and are significantly reduced or absent from older stages. This finding shows a conserved role for CXCR4 and c-Kit signalling in chicken PGC development. Importantly, other genes suspected to be involved in controlling the development of avian germ cells can be investigated using this approach to increase our understanding of avian reproductive biology. Finally, the methods developed in this thesis for editing of the chicken genome may be applied in other avian species once culture methods for the PGCs from these species are develope