Underlying Mathematics in Diversification of Human Olfactory Receptors in Different Loci

As per conservative estimate, approximately (51-105) Olfactory Receptors (ORs) loci are present in human genome occurring in clusters. These clusters are apparently unevenly spread as mosaics over 21 pair of human chromosomes. Olfactory Receptor (OR) gene families which are thought to have expanded for the need to provide recognition capability for huge number of pure and complex odorants. ORs form the largest known multi-gene family in the human genome. Recent studies have shown that 388 full length and 414 OR pseudo-genes are present in these OR genomic clusters. In this paper, the authors report a classification method for all human ORs based on their sequential quantitative information like presence of poly strings of nucleotides bases, long range correlation and so on. An L-System generated sequence has been taken as an input into a star-model of specific subfamily members and resultant sequence has been mapped to a specific OR based on the classification scheme using fractal parameters like Hurst exponent and fractal dimensions

Antiviral activity of (E)-cinnamaldehyde revisited with nanoscience tools

Contradictory results have been reported regarding the anti-viral activity of (E)-cinnamaldehyde, a major constituent (~69%) of cinnamon. Here we show that (E)-cinnamaldehyde alone has very low antiviral property contrary to the belief of commoners. There are early sporadic reports in ancient medicinal practices that fine sand was used for increasing the efficacy of antiviral drugs. Can we increase the efficacy of (E)-cinnamaldehyde marginally by using one of the major constituents of sand like silica? Yes, when nanosilica is used as a carrier during (E)-cinnamaldehyde administration, the antiviral efficacy of the resultant cocktail increases marginally. Therefore, (E)-cinnamaldehyde consumed for centuries in tribal therapy as well as in alternative medicine are largely belief based and does not yield good result till date, when subjected to rigorous scientific investigation

A novel mathematical tool for generating highly conserved protein domain via different organismal genomic landscapes

Darwinian evolution hypothesizes that a short stretch of DNA was first constructed and then it expanded to give rise to a long strand. This long strand then produced a mix of exons, introns and repetitive DNA sequence. The order of production of above three kinds of DNA sequence is unknown. Reshuffling of stretches of DNA like above within organisms has given rise to different chromosomes. Till date it is not known how this process is governed. In this paper we show that starting with a sixteen base-pair human olfactory DNA sequence one can form a highly conserved protein domain. Once this domain is formed repetitive DNA sequences of a particular kind starts generating which signifies that this particular conserved protein domain will be unique in nature. The entire mathematical exercise presented in this paper is based on simplest possible context free L-System which we think has been adopted by biological system in general

Environmental Pursuits In Nanomaterial Systems Science With Indian Exemplars

The behavior and pattern of NPs of minerals in the evolutionary history of the earth vis – a –vis the environmental context are inquired into, with a riverine system as a model. The study of fractal dimensions of NPs of interest serves as an aid to obtain a comprehensive view of natural NPs in the model system. The present study combines inputs from work done on nanoparticles, derived from the Subanarekha River System and products of base metal mine effluents that are rich in NPs of minerals. The authors believe this study would help to establish certain universalities about NPs and provide an updated framework for understanding the current state of nanomineral science

Quadruple context-free L-System mathematical tools as origin of biological evolution

It is well known that A, T, G, C annealed together early in evolution and the long stretch of DNA was found which ultimately resulted into chromosomes of different organisms. But it is unclear till date how exons, introns, conserved protein domains was formed. Using the DNA sequences of the largest known gene-family present in human genome, i.e., olfactory receptors and simplest possible quadruple context-free L-Systems, we show that conserved protein domains and intergenic regions which lies at the heart of the biological evolution started with a sixteen base-pairs stretch of DNA

Quantification of miRNAs and Their Networks in the light of Integral Value Transformations

MicroRNAs (miRNAs) which are on average only 21-25 nucleotides long are key post-transcriptional regulators of gene expression in metazoans and plants. A proper quantitative understanding of miRNAs is required to comprehend their structures, functions, evolutions etc. In this paper, the nucleotide strings of miRNAs of three organisms namely Homo sapiens (hsa), Macaca mulatta (mml) and Pan troglodytes (ptr) have been quantified and classified based on some characterizing features. A network has been built up among the miRNAs for these three organisms through a class of discrete transformations namely Integral Value Transformations (IVTs), proposed by Sk. S. Hassan et al [1, 2]. Through this study we have been able to nullify or justify one given nucleotide string as a miRNA. This study will help us to recognize a given nucleotide string as a probable miRNA, without the requirement of any conventional biological experiment. This method can be amalgamated with the existing analysis pipelines, for small RNA sequencing data (designed for finding novel miRNA). This method would provide more confidence and would make the current analysis pipeline more efficient in predicting the probable candidates of miRNA for biological validation and filter out the improbable candidates