Variations on Graph Products and Vertex Partitions

In this thesis we investigate two graph products called double vertex graphs and complete double vertex graphs, and two vertex partitions called dominator partitions and rankings. We introduce a new graph product called the complete double vertex graph and study its properties. The complete double vertex graph is a natural extension of the Cartesian product and a generalization of the double vertex graph. We establish many properties of complete double vertex graphs, including results involving the chromatic number of a complete double vertex graph and the characterization of planar complete double vertex graphs. We also investigate the important problem of reconstructing the factors of double vertex graphs and complete double vertex graphs. We reconstruct G from double vertex graphs and complete double vertex graphs for different classes of graphs, including cubic graphs. Next, we look at the properties of dominator partitions of graphs. We characterize minimal dominator partitions of a graph G. This helps us to study the properties of the upper dominator partition number and establish bounds on the upper dominator partition number of different families of graphs, including trees. We also calculate the upper dominator partition number of certain classes of graphs, including paths and cycles, which is surprisingly difficult to calculate. Properties of rankings are studied in this thesis as well. We establish more properties of minimal rankings, including results related to permuting the labels of certain minimal rankings of a graph G. In addition, we investigate rankings of the Cartesian product of two complete graphs, also known as the rook\u27s graph. We establish bounds on the rank number of a rook\u27s graph and calculate its arank number using multiple results we obtain on minimal rankings of a rook\u27s graph

Multiple Sequence Alignment of Transmembrane Beta-Barrel Proteins

The two main types of transmembrane proteins are transmembrane alpha helices (TMAH) and transmembrane beta-barrels (TMBB). From literature, we know that both are responsible for diverse biologically important functions. Since there is plenty of sequence and structural data available on various TMAH proteins, many techniques have been developed to analyze their sequence. On the contrary, not many TMBB proteins have been identified or studied. One of the most powerful sequence analysis techniques used for identifying and annotating the biological sequences is “Multiple Sequence Alignment” (MSA). It is often used for phylogenetic analysis, identification of conserved regions in the sequences, prediction of the topology of proteins, etc. High-throughput sequencing methods generate huge volume of sequence data, but they remain largely unannotated. Hence an MSA method for TMBB would be important for sequence-based studies and identifying more of such proteins. In this thesis, we apply a method called homology extension to the MSA and adjust the strategy applied by TMCoffee, a state of the art MSA method tested for TMAH, to make it suitable for TMBB proteins. We focus on extensively evaluating this method and comparing it with popular MSA tools

An Interview with the (Other) Corona Graph

The following is an interview, conducted in April 2021, with a graph product known as the corona graph. Disclaimer: The views expressed herein are not ours. Actually, this entire interview is fiction, other than the mathematics, of course

A Comparative Study to Evaluate the Effectiveness of Resisted Exercises Verses Antidepressant Medication in Young Adult Males Diagnosed with Major Depressive Disorder

This study aims to compare the effectiveness of a combination of 12 weeks resisted exercises programme and antidepressant medication with 12 weeks of antidepressant medication alone.100 young adult males between the age range 18-39 years  diagnosed with major depressive disorder using the ICD 10 criteria, were recruited for the study. 50 Subjects each were randomly assigned into either an experimental or a control group after baseline data was obtained, using the 17- item Hamilton depression rating scale (HDRS17). The experimental group underwent 12 weeks of resisted exercises along with their regular antidepressant medication and the control group had only antidepressant medication as intervention. Our objective was to investigate whether the mean change in (HDRS17) scores from baseline was greater after 12 weeks of resisted exercise when compared with antidepressant medication alone. This study concluded that combination of resisted exercise along with antidepressant medication is more effective than antidepressant medication alone in the treatment of major depressive disorders in young adult males. Key words - major depressive disorder, resisted exercise, antidepressants, 17- item Hamilton depression rating scal

Effect of 12 Weeks Aerobic Exercises Verses Antidepressant Medication in Young Adult Males Diagnosed with Major Depressive Disorder

This study intends to compare the effectiveness of a combination of 12 weeks of aerobic exercises and antidepressant medication with 12 weeks of antidepressant medication alone. 100 young adult males between the age group 18-39, diagnosed with major depressive disorder under the ICD 10 criteria ,were recruited for the study.50 subjects each were randomly assigned into either an experimental or a control group ,after baseline data were procured using the 17- item Hamilton depression rating scale (HDRS17). The experimental group underwent 12 weeks of aerobic exercises along with their regular antidepressant medication and the control group had only antidepressant medication as intervention. Our objective was to investigate weather the mean change in (HDRS17) scores from baseline was greater after 12 weeks of aerobic exercise when compared with antidepressant medication alone. This study concluded that combination of aerobic exercise along with antidepressant medication is more effective than antidepressant medication alone in the treatment of major depressive disorders in young adult males. Key words - major depressive disorder, aerobic exercise, antidepressants, 17- item Hamilton depression rating scal

Comparative Study of Homology Based Structure Prediction and Structure Validation Tools on Some Proteins from the bhlh family.

Comparative homology modeling has become an efficient and easy method for predicting the unknown three dimensional structure of a protein based on sequence alignment. The steps involved are template alignment, loop assignment, model building and model refinement. However, it was noticed that though the basic steps for modeling the protein was same, the results produced by different tools that is available varied, possibly due to the efficiency of the algorithm and other factors. Here, five homology modelling tools were used to compare the results for some proteins of the bhlh family. It was also noticed that structure validation tools had different results. To compare the results ProcheckRamchandran plot from PDBSum Generate and Ramchandran plot from SPDBV were used. The differing results were compared using simple statistical approach and the inference was obtained as patterns for the tools

Gestión de almacenes para mejorar la productividad de la Empresa Servicios Eléctricos Norte S.A.C - Puente Piedra - 2016

La presente investigación titulada: “Gestión de almacenes para mejorar la productividad de la empresa Servicios Eléctricos Norte S.A.C. – Puente Piedra – 2016”, tuvo como objetivo general establecer de qué manera la Gestión de almacenes mejora la productividad de la empresa Servicios Eléctricos Norte S.A.C. – Puente Piedra. Esto como respuesta al problema: ¿De qué manera la gestión de almacenes mejora la productividad de la empresa Servicios Eléctricos Norte S.A.C. - Puente Piedra - 2016? La presente investigación es aplicada, tiene un diseño de investigación cuasi experimental. La población está constituida por 947 solicitudes de pedidos realizados durante los meses de octubre de 2015 a marzo de 2016 y nuestra muestra está representada por 274 solicitudes de pedidos efectuados al área del almacén de la empresa Servicios Eléctricos Norte, para la validación de instrumentos de utilizo el juicio de expertos el cual estuvo constituido por tres ingenieros colegiados. Se aplicó la técnica de observación, se tuvo acceso a toda la documentación necesaria, base de datos de la empresa de esa manera se pudo recoger los datos y posteriormente llenar nuestras hojas de registros, se realizó el análisis y procesamiento de datos con la ayuda del software SPSS versión 22. Finalmente, los resultados obtenidos en la contratación de hipótesis general nos indica que la Gestión de almacenes mejora la productividad de la empresa Servicios Eléctricos Norte S.A.C, donde la media de la productividad antes es de 66%, y la media de la productividad después es de 94%, hallándose el valor de p= 0,000 < 0.05, es por ello que se rechaza la hipótesis nula y se acepta la hipótesis alterna. Por lo tanto, podemos decir que la gestión de almacenes mejora la productividad de la empresa Servicios Eléctricos Norte S.A.C

Gestión de almacenes para mejorar la productividad de la Empresa Servicios Eléctricos Norte S.A.C - Puente Piedra - 2016

La presente investigación titulada: “Gestión de almacenes para mejorar la productividad de la empresa Servicios Eléctricos Norte S.A.C. – Puente Piedra – 2016”, tuvo como objetivo general establecer de qué manera la Gestión de almacenes mejora la productividad de la empresa Servicios Eléctricos Norte S.A.C. – Puente Piedra. Esto como respuesta al problema: ¿De qué manera la gestión de almacenes mejora la productividad de la empresa Servicios Eléctricos Norte S.A.C. - Puente Piedra - 2016? La presente investigación es aplicada, tiene un diseño de investigación cuasi experimental. La población está constituida por 947 solicitudes de pedidos realizados durante los meses de octubre de 2015 a marzo de 2016 y nuestra muestra está representada por 274 solicitudes de pedidos efectuados al área del almacén de la empresa Servicios Eléctricos Norte, para la validación de instrumentos de utilizo el juicio de expertos el cual estuvo constituido por tres ingenieros colegiados. Se aplicó la técnica de observación, se tuvo acceso a toda la documentación necesaria, base de datos de la empresa de esa manera se pudo recoger los datos y posteriormente llenar nuestras hojas de registros, se realizó el análisis y procesamiento de datos con la ayuda del software SPSS versión 22. Finalmente, los resultados obtenidos en la contratación de hipótesis general nos indica que la Gestión de almacenes mejora la productividad de la empresa Servicios Eléctricos Norte S.A.C, donde la media de la productividad antes es de 66%, y la media de la productividad después es de 94%, hallándose el valor de p= 0,000 < 0.05, es por ello que se rechaza la hipótesis nula y se acepta la hipótesis alterna. Por lo tanto, podemos decir que la gestión de almacenes mejora la productividad de la empresa Servicios Eléctricos Norte S.A.C

Effects of maternal immune activation on gene expression patterns in the fetal brain

We are exploring the mechanisms underlying how maternal infection increases the risk for schizophrenia and autism in the offspring. Several mouse models of maternal immune activation (MIA) were used to examine the immediate effects of MIA induced by influenza virus, poly(I:C) and interleukin IL-6 on the fetal brain transcriptome. Our results indicate that all three MIA treatments lead to strong and common gene expression changes in the embryonic brain. Most notably, there is an acute and transient upregulation of the α, β and γ crystallin gene family. Furthermore, levels of crystallin gene expression are correlated with the severity of MIA as assessed by placental weight. The overall gene expression changes suggest that the response to MIA is a neuroprotective attempt by the developing brain to counteract environmental stress, but at a cost of disrupting typical neuronal differentiation and axonal growth. We propose that this cascade of events might parallel the mechanisms by which environmental insults contribute to the risk of neurodevelopmental disorders such as schizophrenia and autism