Single nucleotide polymorphisms (SNPs) are genetic changes that can occur within a DNA sequence. Due to the high frequency of SNPs in the human genome, it is desirable to select a small set of SNPs (tagging SNPs) that can be used to represent the majority of SNPs. We propose a Gibbs sampling approach to find a small set of SNPs with minimum redundancy for tagging purposes. Preclustering is adde...

Modeling and optimization of synthesis gas production via the non-catalytic partial oxidation of methane (NCPO) were studied by minimizing of Gibbs free energy, and comparison studies were carried out to analyze the mechanism of syngas production. For this purpose, concentrations of CO2 and H2O in the feed were optimized in specified pressure and temperature, such that the hydrogen to carbon mo...

Abstract Gibbs manifolds are images of affine spaces symmetric matrices under the exponential map. They arise in applications such as optimization, statistics and quantum physics, where they extend ubiquitous role toric geometry. The variety is zero locus all polynomials that vanish on manifold. We compute these show low-dimensional. Our theory applied to a wide range scenarios, including matri...

In this research 1, 3, 5-triamino-2, 4, 6-trinitrobenzene (TATB) were attached with different nano structures of fullerene with 20, 24 and 60 carbons producing nano structures with diverse molecular weights. Then by the use of density functional theory methods, thermodynamic parameters of TATB with foregoing nanostructures, in wide of temperature, between 300-400 ºK were computed. To this purpo...

INTRODUCTION Random regression (RR) models for longitudinal data often require a considerable number of parameters to describe the associated covariance functions. Estimation of these parameters has proven cumbersome and subject to sampling problems. Moreover, computational restraints have limited analyses of data sets sufficiently large to supply accurate estimates. This holds especially for c...

Starting from the full–shift on a finite alphabet A, mingling some symbols of A, we obtain a new full shift on a smaller alphabet B. This amalgamation defines a factor map from (A, TA) to (B , TB), where TA and TB are the respective shift maps. According to the thermodynamic formalism, to each regular function (‘potential’) ψ : A → R, we can associate a unique Gibbs measure μψ . In this article...

We have studied diffusion controlled growth of an isolated, misfitting precipitate in a supersaturated matrix using a phase field model. Treating our simulations as computer experiments, we have critically compared our simulation results with those from Zener-Frank and Laraia-Johnson theories for the growth of non-misfitting and misfitting precipitates, respectively. The agreement between simul...

Due to a demand for reliable methods for exploring intractable probability distributions, the popularity of Markov chain Monte Carlo (MCMC) techniques continues to grow. In any MCMC analysis, the convergence rate of the associated Markov chain is of practical and theoretical importance. A geometrically ergodic chain converges to its target distribution at a geometric rate. In this dissertation,...