In this paper, the performance of various sliding window trigonometric fast transforms for identification of protein coding regions has been analysed at the nucleotide level. It is found that, Short-Time Discrete Fourier Transform (ST-DFT) gives better identification accuracy in comparison with Short-Time Discrete Cosine Transform (ST-DCT), Short-Time Discrete Sine Transform (ST-DST) and Short-Time Discrete Hartley Transform (ST-DHT). In the proposed method, identification accuracy of protein coding regions has been improved by applying Singular Value Decomposition (SVD) on the DNA spectrum obtained using sliding window trigonometric fast transforms. The results show that, in proposed method all trigonometric fast transforms gives almost similar results in terms of area under ROC curve for GENSCAN test set.
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http://dx.doi.org/10.1504/ijdmb.2011.038580 | DOI Listing |
Heliyon
October 2024
Ralph E. Martin Department of Chemical Engineering, University of Arkansas, Fayetteville, AR, 72701, USA.
Chaos
November 2024
College of Mathematics and Statistics, Fujian Normal University, Fuzhou 350007, Fujian, People's Republic of China.
This article is concerned with the existence and spectral stability of pulses in singularly perturbed two-component reaction-diffusion systems with slowly mixed nonlinearity. In this paper, the slow nonlinearity is referred to be "mixed" in the sense that it is generated by a trigonometric function multiplied by a power function. We demonstrate via geometric singular perturbation theory that this model can support both the single-pulse and the double-hump solutions.
View Article and Find Full Text PDFJ Comput Phys
August 2024
Department of Mechanical and Aerospace Engineering, The George Washington University, 800 22nd Street NW, Washington DC, 20052, USA.
Immersed boundary methods have seen an enormous increase in popularity over the past two decades, especially for problems involving complex moving/deforming boundaries. In most cases, the boundary conditions on the immersed body are enforced via forcing functions in the momentum equations, which in the case of fractional step methods may be problematic due to: i) creation of slip-errors resulting from the lack of explicitly enforcing boundary conditions on the (pseudo-)pressure on the immersed body; ii) coupling of the solution in the fluid and solid domains via the Poisson equation. Examples of fractional-step formulations that simultaneously enforce velocity and pressure boundary conditions have also been developed, but in most cases the standard Poisson equation is replaced by a more complex system which requires expensive iterative solvers.
View Article and Find Full Text PDFArch Bone Jt Surg
January 2023
Tehran University of Medical Sciences, Tehran, Iran.
Objectives: The most critical step in the calculation of final limb length discrepancy (LLD) is estimating the length of the short limb after skeletal maturity(Sm). Paley's multiplier method is a fast, convenient method for calculating Sm and LLD after skeletal maturity; nonetheless, the calculation of the process of Sm and LLD in acquired type cases is complex in contrast to congenital type in this method. Notwithstanding, the multiplier method uses a variable called "growth inhibition" for the calculation process in acquired type LLD; however, its mathematical proof has not been published yet.
View Article and Find Full Text PDFAbstractAnimals regulate their food intake to maximize the expression of fitness traits but are forced to trade off the optimal expression of some fitness traits because of differences in the nutrient requirements of each trait ("nutritional trade-offs"). Nutritional trade-offs have been experimentally uncovered using the geometric framework for nutrition (GF). However, current analytical methods to measure such responses rely on either visual inspection or complex models of vector calculations applied to multidimensional performance landscapes, making these approaches subjective or conceptually difficult, computationally expensive, and, in some cases, inaccurate.
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