Using phase-space localized basis functions to obtain vibrational energies of molecules

For decades scientists have attempted to use ideas of classical mechanics to choose basis functions for calculating spectra. The hope is that a classically-motivated basis set will be small because it covers only the dynamically important part of phase space. One popular idea is to use phase space localized (PSL) basis functions. This thesis improves on previous efforts to use PSL functions and examines the usefulness of these improvements. Because the overlap matrix, in the matrix eigenvalue problem obtained by using PSL functions with the variational method, is not an identity, it is costly to use iterative methods to solve the matrix eigenvalue problem. We show that it is possible to circumvent the orthogonality (overlap) problem and use iterative eigensolvers. We also present an altered method of calculating the matrix elements that improves the performance of the PSL basis functions, and also a new method which more efficiently chooses which PSL functions to include. These improvements are applied to a variety of single well molecules. We conclude that for single minimum molecules, the PSL functions are inferior to other basis functions. However, the ideas developed here can be applied to other types of basis functions, and PSL functions may be useful for multi-well systems.

IMMUNE-ANGIOGENESIS MECHANISMS ASSOCIATED WITH PORCINE PREGNANCY SUCCESS AND FAILURE

Spontaneous fetal loss (25-40%) leading to decrease in litter size is a significant concern to the pork industry. A deficit in the placental vasculature has emerged as one of the important factors associated with fetal loss. During early pig pregnancy, the endometrium becomes enriched with immune cells recruited by conceptus-derived signals including specific chemokine stimuli. These immune cells assist in various aspects of placental development and angiogenesis. Recent evidence suggests that microRNAs (miRNAs: small non-coding RNAs that regulate gene expression) regulate immune cell development and their functions. In addition, intercellular communication including exchange of biomolecules (e.g. miRNAs) between the conceptus and endometrium regulate key developmental processes during pregnancy. To understand the biological significance of immune cell enrichment, regulation of their functions by miRNAs and transfer of miRNAs across the maternal fetal-interface, we screened specific sets of chemokines and pro- and anti-angiogenic miRNAs in endometrial lymphocytes (ENDO LY), endometrium, and chorioallantoic membrane (CAM) isolated from conceptus attachment sites (CAS) during early, gestation day (gd)20 and mid-pregnancy (gd50). We report increased expression of selected chemokines including CXCR3 and CCR5 in ENDO LY and CXCL10, CXCR3, CCL5, CCR5 in endometrium associated with arresting CAS at gd20. Some of these differences were also noted at the protein level (CXCL10, CXCR3, CCL5, and CCR5) in endometrium and CAM. We report for the first time significant differences for miRNAs involved in immune cell-derived angiogenesis (miR-296-5P, miR-150, miR-17P-5P, miR-18a, and miR-19a) between ENDO LY associated with healthy and arresting CAS. Significant differences were also found in endometrium and CAM for some miRNAs (miR-17-5P, miR-18a, miR-15b-5P, and miR-222). Finally, we confirm that placenta specific-exosomes contain proteins and 14 select miRNAs including miR-126-5P, miR-296-5P, miR-16, and miR-17-5P that are of relevance to early implantation events. We further demonstrated the bidirectional exosome shuttling between porcine trophectoderm cells (PTr2) and porcine aortic endothelial cells (PAOEC). PTr2-derived exosomes were able to modulate the endothelial cell proliferation that is crucial for the establishment of pregnancy. Our data unravels the selected chemokines and miRNAs associated with immune cell-regulated angiogenesis and reconfirm that exosome mediated cell-cell communication opens-up new avenues to understand porcine pregnancy.