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  • Open Access

    ARTICLE

    A Novel Method for Linear Systems of Fractional Ordinary Differential Equations with Applications to Time-Fractional PDEs

    Sergiy Reutskiy1, Yuhui Zhang2,*, Jun Lu3,*, Ciren Pubu4

    CMES-Computer Modeling in Engineering & Sciences, Vol.139, No.2, pp. 1583-1612, 2024, DOI:10.32604/cmes.2023.044878

    Abstract This paper presents an efficient numerical technique for solving multi-term linear systems of fractional ordinary differential equations (FODEs) which have been widely used in modeling various phenomena in engineering and science. An approximate solution of the system is sought in the form of the finite series over the Müntz polynomials. By using the collocation procedure in the time interval, one gets the linear algebraic system for the coefficient of the expansion which can be easily solved numerically by a standard procedure. This technique also serves as the basis for solving the time-fractional partial differential equations (PDEs). The modified radial basis… More >

  • Open Access

    ARTICLE

    Suppression of cell pyroptosis by omeprazole through PDE4-mediated autophagy in gastric epithelial cells

    LIPING YE1,2,3,#, HUIYAN SUN4,#, XINHUA LIANG2,#, WENXU PAN2, LI XIANG2,3, WENJUN DU2, LANLAN GENG2, WANFU XU2,3,*, SITANG GONG1,2,3,*

    BIOCELL, Vol.47, No.12, pp. 2709-2719, 2023, DOI:10.32604/biocell.2023.044295

    Abstract Introduction: Helicobacter pylori is a risk factor for the development of peptic ulcers with autophagy dysfunction. Omeprazole was widely known as the first-line regimen for H. pylori-associated gastritis. Objectives: The objective of this work was to assess the role of omeprazole on cell pyroptosis and autophagy. Methods: The clinical samples were collected. Quantitative polymerase chain reaction, western blotting, enzyme linked immunosorbent assay, and immunofluorescence (IF) analysis were conducted to reveal the mechanism of omeprazole on cell pyroptosis and autophagy. Results: The results revealed that omeprazole could decrease cell pyroptosis, which was attributed to the downregulation of cleaved caspase-1 expression, resulting… More >

  • Open Access

    PROCEEDINGS

    Efficient and Robust Temperature Field Simulation of Long-Distance Crude Oil Pipeline Based on Bayesian Neural Network and PDE

    Weixin Jiang1,*, Qing Yuan2, Zongze Li3, Junhua Gong3, Bo Yu4

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.25, No.4, pp. 1-2, 2023, DOI:10.32604/icces.2023.08861

    Abstract The hydraulic and thermal simulation of crude oil pipeline transportation is greatly significant for the safe transportation and accurate regulation of pipelines. With reasonable basic parameters, the solution of the traditional partial differential equation (PDE) for the axial soil temperature field on the pipeline can obtain accurate simulation results, yet it brings about a low calculation efficiency problem. In order to overcome the low-efficiency problem, an efficient and robust hybrid solution model for soil temperature field coupling with Bayesian neural network and PDE is proposed, which considers the dynamic changes of boundary conditions. Four models, including the proposed hybrid model,… More >

  • Open Access

    ARTICLE

    Fast and Accurate Thoracic SPECT Image Reconstruction

    Afef Houimli1,*, IssamBen Mhamed2, Bechir Letaief1,3,4, Dorra Ben-Sellem1,3,4

    CMES-Computer Modeling in Engineering & Sciences, Vol.131, No.2, pp. 881-904, 2022, DOI:10.32604/cmes.2022.016705

    Abstract In Single-Photon Emission Computed Tomography (SPECT), the reconstructed image has insufficient contrast, poor resolution and inaccurate volume of the tumor size due to physical degradation factors. Generally, nonstationary filtering of the projection or the slice is one of the strategies for correcting the resolution and therefore improving the quality of the reconstructed SPECT images. This paper presents a new 3D algorithm that enhances the quality of reconstructed thoracic SPECT images and reduces the noise level with the best degree of accuracy. The suggested algorithm is composed of three steps. The first one consists of denoising the acquired projections using the… More >

  • Open Access

    ARTICLE

    Random Controlled Pool Base Differential Evolution Algorithm (RCPDE)

    Qamar Abbasa, Jamil Ahmadb, Hajira Jabeena

    Intelligent Automation & Soft Computing, Vol.24, No.2, pp. 377-390, 2018, DOI:10.1080/10798587.2017.1295678

    Abstract This paper presents a novel random controlled pool base differential evolution algorithm (RCPDE) where powerful mutation strategy and control parameter pools have been used. The mutation strategy pool contains mutations strategies having diverse parameter values, whereas the control parameter pool contains varying nature pairs of control parameter values. It has also been observed that with the addition of rarely used control parameter values in these pools are highly beneficial to enhance the performance of the DE algorithm. The proposed mutation strategy and control parameter pools improve the solution quality and the convergence speed of DE algorithm. The simulation results of… More >

  • Open Access

    ARTICLE

    Analytical and Numerical Investigation for the DMBBM Equation

    Abdulghani Alharbi1, Mahmoud A. E. Abdelrahman1, 2, *, M. B. Almatrafi1

    CMES-Computer Modeling in Engineering & Sciences, Vol.122, No.2, pp. 743-756, 2020, DOI:10.32604/cmes.2020.07996

    Abstract The nonlinear dispersive modified Benjamin-Bona-Mahony (DMBBM) equation is solved numerically using adaptive moving mesh PDEs (MMPDEs) method. Indeed, the exact solution of the DMBBM equation is obtained by using the extended Jacobian elliptic function expansion method. The current methods give a wider applicability for handling nonlinear wave equations in engineering and mathematical physics. The adaptive moving mesh method is compared with exact solution by numerical examples, where the explicit solutions are known. The numerical results verify the accuracy of the proposed method. More >

  • Open Access

    ARTICLE

    Cyclic nucleotide phosphodiesterase inhibition increases tyrosine phosphorylation and hyper motility in normal and pathological human spermatozoa

    ROBERTO YUNES, PEDRO FERNÁNDEZ, GUSTAVO F. DONCEL, ANÍBAL A. ACOSTA

    BIOCELL, Vol.29, No.3, pp. 287-293, 2005, DOI:10.32604/biocell.2005.29.287

    Abstract Our objective was to determine the effect of phosphodiesterase (PDE) inhibition on: 1) tyrosine phosphorylation of human spermatozoa at the tail level; and 2) sperm motion parameters and hyperactivated motility. The study was conducted with normozoospermic and asthenozoospermic samples incubated under in vitro capacitating conditions. The main outcome measures were computer-assisted sperm motion analysis and fluorescent immunodetection of phosphotyrosine-containing proteins. Pentoxifylline (PTX) was used as PDE inhibitor because of its wide use in the clinic. PTX-treatment significantly increased sperm velocity, hyperactivated motility and tyrosine-phosphorylation, both in normo and asthenozoospermic samples. Tyrosine-phosphorylation of tail proteins was highly conspicuous in both types… More >

  • Open Access

    ABSTRACT

    A New Insight into the Differential Quadrature Method in Solving 2-D Elliptic PDEs

    Ying-Hsiu Shen, Chein-Shan Liu

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.16, No.3, pp. 77-78, 2011, DOI:10.3970/icces.2011.016.077

    Abstract When the local differential quadrature (LDQ) has been successfully applied to solve two-dimensional problems, the global method of DQ still has a problem by requiring to solve the inversions of ill-posed matrices. Previously, when one uses (n-1)th order polynomial test functions to determine the weighting coefficients with n grid points, the resultant nxn Vandermonde matrix is highly ill-conditioned and its inversion is hard to solve. Now we use (m-1)th order polynomial test functions by n grid points that the size of Vandermonde matrix is mxn, of which m is much less than n. We find that the (m-1)th order polynomial… More >

  • Open Access

    ABSTRACT

    An Efficient Method for Linear PDE with Stochastic Input

    Frederic Y.M. Wan1

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.16, No.3, pp. 75-76, 2011, DOI:10.3970/icces.2011.016.075

    Abstract Linear PDE are often appropriate as mathematical models for space-time biological phenomena. Among these are 1) Rall's equivalent cylinder model for cable neurons (see [1,2] and references therein), and 2) morphogen gradients with low receptor occupancy (see [3.4] and references therein). For some of these problems including cable neurons under synaptic current injection, we are interested in the system's response to stochastic excitations. The present paper offers a practical and efficient method for determining the statistical properties of the model response. For linear problems, the solution of an initial-boundary value problem in PDE is in principle given by the relevant… More >

  • Open Access

    ABSTRACT

    Numerical Investigation on PDEs with Mixed Fuels

    J. Kato1, K. Inaba2, M. Yamamoto3

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.4, No.1, pp. 25-30, 2007, DOI:10.3970/icces.2007.004.025

    Abstract Pulse detonation turbine engines (PDTEs), which are used as power generation, are desirable to use hydrocarbon from the aspect of infrastructure of fuels. In the present study, we investigate the performance of PDEs using mixed hydrocarbon fuels. With the detailed 42-species and 168-step mechanism, numerical simulations on mixed-fuel-and-air PDEs are conducted. We use CH4-C3H8, CH4-H2, and C3H8-H2 as fuels, and examine characteristic features of detonations with different blend ratios. We perform calculations on the Chapman-Jouguet detonation speeds and chemical reaction lengths, and investigate ZND profiles of chemical reactions. Then we evaluate PDEs performances by changing blend ratios. These results show… More >

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