Solution of road network problem with the help of m-polar fuzzy graph using isometric and antipodal concept.

The isometry in crisp graph theory is a well-known fact. But, isometry under a fuzzy environment was developed recently and studied many facts. In a m-polar fuzzy graph, we have to think m components for each node and edge. Since, in our consideration, we consider m components for each nodes as well as edges, therefore we can not handle this type of situation using fuzzy model as their is a single components for this concept. Again, we can not apply bipolar or intuitionistic fuzzy graph model as each edges or nodes have just two components. Thus, these mPFG models give more efficient fuzziness results than other fuzzy model. Also, it is very interesting to develop and analyze such types of mPFGs with examples and related theorems. Considering all those things together, we have presented isometry under a m-polar fuzzy environment. In this paper, we have discussed the isometric m-polar fuzzy graph along with many exciting facts about it. Metric space properties have also been implemented on m-polar fuzzy isometric graph. We also have initiated a generalized fuzzy graph, namely antipodal m-polar fuzzy graphs, along with several issues. The degree of it is also presented along with edge regularity properties. We also give a relation between m-polar fuzzy antipodal graphs and their underlying crisp graphs. Its properties have also been discussed on m-polar fuzzy odd as well as even cycles, complete graphs, etc. Finally, a real-life application on a road network system in a m-polar fuzzy environment using the [Formula: see text]-distance concept is also presented.

Insight Into the Ontogeny of GnRH Neurons From Patients Born Without a Nose.

CONTEXT: The reproductive axis is controlled by a network of gonadotropin-releasing hormone (GnRH) neurons born in the primitive nose that migrate to the hypothalamus alongside axons of the olfactory system. The observation that congenital anosmia (inability to smell) is often associated with GnRH deficiency in humans led to the prevailing view that GnRH neurons depend on olfactory structures to reach the brain, but this hypothesis has not been confirmed. OBJECTIVE: The objective of this work is to determine the potential for normal reproductive function in the setting of completely absent internal and external olfactory structures. METHODS: We conducted comprehensive phenotyping studies in 11 patients with congenital arhinia. These studies were augmented by review of medical records and study questionnaires in another 40 international patients. RESULTS: All male patients demonstrated clinical and/or biochemical signs of GnRH deficiency, and the 5 men studied in person had no luteinizing hormone (LH) pulses, suggesting absent GnRH activity. The 6 women studied in person also had apulsatile LH profiles, yet 3 had spontaneous breast development and 2 women (studied from afar) had normal breast development and menstrual cycles, suggesting a fully intact reproductive axis. Administration of pulsatile GnRH to 2 GnRH-deficient patients revealed normal pituitary responsiveness but gonadal failure in the male patient. CONCLUSIONS: Patients with arhinia teach us that the GnRH neuron, a key gatekeeper of the reproductive axis, is associated with but may not depend on olfactory structures for normal migration and function, and more broadly, illustrate the power of extreme human phenotypes in answering fundamental questions about human embryology.

Congenital Arhinia: A Rare Case Report and Review of Literature.

Congenital absence of nose (Arhinia) is extremely rare. A male baby was born at term via uncomplicated vaginal delivery and presented with complete arhinia, bilateral microphthalmia, lower eyelid coloboma and feeding difficulty. Reconstructive surgery was postponed until preschool age. On follow up at 1 year of age baby is feeding liquid and semisolid food and growing well.

Deconstruction of archaeal genome depict strategic consensus in core pathways coding sequence assembly.

A comprehensive in silico analysis of 71 species representing the different taxonomic classes and physiological genre of the domain Archaea was performed. These organisms differed in their physiological attributes, particularly oxygen tolerance and energy metabolism. We explored the diversity and similarity in the codon usage pattern in the genes and genomes of these organisms, emphasizing on their core cellular pathways. Our thrust was to figure out whether there is any underlying similarity in the design of core pathways within these organisms. Analyses of codon utilization pattern, construction of hierarchical linear models of codon usage, expression pattern and codon pair preference pointed to the fact that, in the archaea there is a trend towards biased use of synonymous codons in the core cellular pathways and the Nc-plots appeared to display the physiological variations present within the different species. Our analyses revealed that aerobic species of archaea possessed a larger degree of freedom in regulating expression levels than could be accounted for by codon usage bias alone. This feature might be a consequence of their enhanced metabolic activities as a result of their adaptation to the relatively O2-rich environment. Species of archaea, which are related from the taxonomical viewpoint, were found to have striking similarities in their ORF structuring pattern. In the anaerobic species of archaea, codon bias was found to be a major determinant of gene expression. We have also detected a significant difference in the codon pair usage pattern between the whole genome and the genes related to vital cellular pathways, and it was not only species-specific but pathway specific too. This hints towards the structuring of ORFs with better decoding accuracy during translation. Finally, a codon-pathway interaction in shaping the codon design of pathways was observed where the transcription pathway exhibited a significantly different coding frequency signature.

Genomic heterogeneity within conservedmetabolic pathways of Arthrobacter species - a bioinformatic approach.

A comparative genomic analysis of three species of the soil bacterium Arthrobacter was undertaken with specific emphasis on genes involved in important and core energy metabolism pathways like glycolysis and amino acid metabolism. During the course of this study, it was revealed that codon bias of a particular species, namely Arthrobacter aurescens TC1, is significantly lower than that of the other two species A. chlorophenolicus A6 and Arthrobacter sp. FB24. The codon bias was also found to be negatively correlated with gene expression level which is determined by computing codon adaptation index of the genes. Uniformity in codon usage pattern among three species is evident in terms of genes which has high codon bias and multifunctional nature. Further, it was observed that this trend is present amongst the genes of important metabolic pathways, such as glycolysis and amino acid metabolism. The evolutionary divergence of the pathway gene sequences was calculated and was found to be equivalent in nature in the case of Arthrobacter sp. FB24 and Arthrobacter chlorophenolicus A6, but turned out to be dissimilar in the case of Arthrobacter aurescens TC1. A strong correlation between synonymous substitution rate and effective codon number or Nc was also observed. These observations clearly point out that the genes having low bias, in Arthrobacter aurescens TC1, and even of those that are part of highly conserved metabolic pathways like glycolysis and amino acid ensemble pathways have undergone a different type of evolution and might be subjected to positive selection pressure in comparison with Arthrobacter sp. FB24 and Arthrobacter chlorophenolicus A6.

Nucleotide triplet based molecular phylogeny of class I and class II aminoacyl t-RNA synthetase in three domain of life process: bacteria, archaea, and eukarya.

The aminoacyl-tRNA synthetases are one of the major protein components in the translation machinery. These essential proteins are found in all forms of life and are responsible for charging their cognate tRNAs with the correct amino acid. These important enzymes have been the subject of intense scientific inquiry for nearly half a century, but their complete evolutionary history has yet to emerge. Amino acids sequence based phylogeny has some limitation due to very low sequence similarity amongst the different tRNA synthetases and structure based phylogeny has also its limitation. In our study, tRNA nucleotide sequences of E. coli K12 (Bacteria), Saccharomyces cerevisiae (Eukarya), Thermococcus kodakaraensis KOD1, and Archaeoglobus fulgidus DSM 4304 (Archaea) were used for phylogenetic analysis. Our results complement the observation with the earlier studies based on multiple sequence alignment and structural alignment. We observed that relationship between archaeal tRNA synthetases are different that of bacteria and eucarya. Violation of Class rule of LysRS is observed here also. The uniqueness of this method is that it does not employ sequence alignment of complete nucleotide sequence of the corresponding gene.

Analysis of codon usage patterns and predicted highly expressed genes for six phytopathogenic Xanthomonas genomes shows a high degree of conservation.

Members of the genus Xanthomonas are significant phytopathogens, which cause diseases in several economically important crops including rice, canola, tomato, citrus, etc. We have analyzed the genomes of six recently sequenced Xanthomonas strains for their synonymous codon usage patterns for all of protein coding genes and specific genes associated with pathogenesis, and determined the predicted highly expressed (PHX) genes by the use of the codon adaptation index (CAI). Our results show considerable heterogeneity among the genes of these moderately G+C rich genomes. Most of the genes were moderate to highly biased in their codon usage. However, unlike ribosomal protein genes, which were governed by translational selection, those genes associated with pathogenesis (GAP) were affected by mutational pressure and were predicted to have moderate to low expression levels. Only two out of 339 GAP genes were in the PHX category. PHX genes present in clusters of orthologous groups of proteins (COGs) were identified. Genes in the plasmids present in two strains showed moderate to low expression level and only a couple of genes featured in the PHX list. Common genes present in the top-20 PHX gene-list were identified and their possible functions are discussed. Correspondence analysis showed that genes are highly confined to a core in the plot.