The application of principal component analysis on human development indicators: Temporal approach from 1999 to 2010

Background and Objective. Ever since the human development index was published in 1990 by the United Nations Development Programme (UNDP), many researchers started searching and corporative studying for more effective methods to measure the human development. Published in 1999, Lai’s “Temporal analysis of human development indicators: principal component approach” provided a valuable statistical way on human developmental analysis. This study presented in the thesis is the extension of Lai’s 1999 research. ^ Methods. I used the weighted principal component method on the human development indicators to measure and analyze the progress of human development in about 180 countries around the world from the year 1999 to 2010. The association of the main principal component obtained from the study and the human development index reported by the UNDP was estimated by the Spearman’s rank correlation coefficient. The main principal component was then further applied to quantify the temporal changes of the human development of selected countries by the proposed Z-test. ^ Results. The weighted means of all three human development indicators, health, knowledge, and standard of living, were increased from 1999 to 2010. The weighted standard deviation for GDP per capita was also increased across years indicated the rising inequality of standard of living among countries. The ranking of low development countries by the main principal component (MPC) is very similar to that by the human development index (HDI). Considerable discrepancy between MPC and HDI ranking was found among high development countries with high GDP per capita shifted to higher ranks. The Spearman’s rank correlation coefficient between the main principal component and the human development index were all around 0.99. All the above results were very close to outcomes in Lai’s 1999 report. The Z test result on temporal analysis of main principal components from 1999 to 2010 on Qatar was statistically significant, but not on other selected countries, such as Brazil, Russia, India, China, and U.S.A.^ Conclusion. To synthesize the multi-dimensional measurement of human development into a single index, the weighted principal component method provides a good model by using the statistical tool on a comprehensive ranking and measurement. Since the weighted main principle component index is more objective because of using population of nations as weight, more effective when the analysis is across time and space, and more flexible when the countries reported to the system has been changed year after year. Thus, in conclusion, the index generated by using weighted main principle component has some advantage over the human development index created in UNDP reports.^

An exploratory analysis of variance and volatility in epileptic electroencephalograms

The electroencephalogram (EEG) is a physiological time series that measures electrical activity at different locations in the brain, and plays an important role in epilepsy research. Exploring the variance and/or volatility may yield insights for seizure prediction, seizure detection and seizure propagation/dynamics.^ Maximal Overlap Discrete Wavelet Transforms (MODWTs) and ARMA-GARCH models were used to determine variance and volatility characteristics of 66 channels for different states of an epileptic EEG – sleep, awake, sleep-to-awake and seizure. The wavelet variances, changes in wavelet variances and volatility half-lives for the four states were compared for possible differences between seizure and non-seizure channels.^ The half-lives of two of the three seizure channels were found to be shorter than all of the non-seizure channels, based on 95% CIs for the pre-seizure and awake signals. No discernible patterns were found the wavelet variances of the change points for the different signals. ^

The SasS -SasR two-component signal transduction system required for early Myxococcus xanthus multicellular *development

Initiation of Myxococcus xanthus multicellular development requires both nutrient limitation and high cell density. The extracellular signal, A signal, which consists of a set of amino acids at specific concentrations, serves as a cell density signal in M. xanthus early development. A reporter gene, designated 4521, that requires both starvation and A signal for developmental expression was used to identify mutations in the signal transduction pathways. A group of point mutations located in the chromosomal sasB locus that bypasses both requirements was previously isolated. One of these point mutations, sasB7, was mapped to the sasS gene, which is predicted to encode a transmembrane histidine protein kinase required for normal development. SasS is a positive regulator of 4521 and a candidate A signal sensor. This dissertation continues the characterization of the sasB locus, focusing on the sasR gene and the functional relationship of SasS and SasR. ^ The sasR gene is located 2.2-kb downstream of sasS. It is predicted to encode an NtrC-like response regulator, which belongs to the family of sigma54 transcriptional activators. SasR is a positive regulator of 4521 gene and is required for normal development. The sasR mutant displays phenotypes similar to that of sasS mutant. Both SasS and SasR are required for the A-signal-dependent 4521 expression. Genetic epistasis analysis indicates that SasR functions downstream of SasS. Biochemical studies show that SasS has autokinase activity, and phosphorylated SasS is able to transfer its phosphate to SasR. We propose that SasS and SasR form a two-component signal transduction system in the A signal transduction pathway. ^ To search for the genes regulated by SasS and SasR, expression patterns of a group of developmental genes were compared in wild-type and sasS null mutant backgrounds. SasS and SasR were found to positively regulate sasN and 4521. The sasN gene was previously identified as a negative regulator of 4521, located at about 170-bp downstream of sasR. It is required for normal fruiting body development. Based on the above data, a regulatory network consisting of sasS, sasR, sasN, and 4521 is hypothesized, and the interactions of the components in this network can now be further studied. ^

Human complement component C3 -binding proteins of Mycobacterium tuberculosis

Mycobacterium tuberculosis, the causative agent of tuberculosis, is a facultative intracellular pathogen that uses the host mononuclear phagocyte as a niche for survival and replication during infection. Complement component C3 has previously been shown to enhance the binding of M. tuberculosis to mononuclear phagocytes. Using a C3 ligand affinity blot protocol, we identified a 30 kDa C3-binding protein in M. tuberculosis as heparin-binding hemagglutinin (HbhA). HbhA was found to be a hydrophobic protein that localized to the cell membrane/cell wall fraction of M. tuberculosis, and this protein has previously been shown by others to be located on the surface of M. tuberculosis. The C3-binding activity of HbhA was localized to the C-terminus of the protein, which consists of lysine-alanine repeats. Full-length recombinant HbhA coated onto latex beads was shown to mediate the adherence of the beads to murine macrophage-like cells in both a C3-dependent and a C3-independent manner. An in-frame 576 by deletion in the hbhA gene was created in a virulent strain of M. tuberculosis using a PCR technique known as gene splicing by overlap extension (SOEing). Using the ΔhbhA mutant, HbhA was found not to be necessary for growth of M. tuberculosis in laboratory media or in macrophage-like cells, nor is HbhA required for adherence of M. tuberculosis to macrophage-like cells. HbhA is, however, required for infectivity of M. tuberculosis in mice. Mice infected with the ΔhbhA mutant show decreased growth in the lungs, liver, and spleen compared to mice infected with the wild-type strain. Using the ΔhbhA mutant strain, we were able to purify and identify a second 30-kDa C3-binding protein, HupB. These data demonstrate that HbhA is required for the in vivo but not the in vitro survival of M. tuberculosis and that HbhA is not necessary for the adherence of M. tuberculosis to the macrophage-like cells used in these studies. The expression of two proteins that bind human C3 may aid in the efficient binding of M. tuberculosis to complement receptors for uptake into mononuclear cells, or may influence other aspects of the host-parasite interaction. ^