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  • Open Access

    ARTICLE

    The Influence of Entanglements of Net Chains on Phase Transition Temperature of Sensitive Hydrogels in Chemo-Mechanical Coupled Fields

    Tao Li1, Qingsheng Yang1, *, Lianhua Ma2, Xiaojun Zhang2, *

    CMES-Computer Modeling in Engineering & Sciences, Vol.123, No.3, pp. 995-1014, 2020, DOI:10.32604/cmes.2020.09152 - 28 May 2020

    Abstract Phase transition of hydrogel, which is polymerized by polymer network, can be regarded as the transition of polymer network stability. The stability of the polymer network might be changed when the external environment changed. This change will lead to the transformation of sensitive hydrogels stability, thus phase transition of hydrogel take place. Here, we present a new free density energy function, which considers the non-gaussianity of the polymer network, chains entanglement and functionality of junctions through adding Gent hyplastic model and Edwards-Vilgis slip-link model to Flory-Huggins theory. A program to calculate the phase transition temperature More >

  • Open Access

    ARTICLE

    Bell Polynomial Approach for the Solutions of Fredholm Integro-Differential Equations with Variable Coefficients

    Gökçe Yıldız1, Gültekin Tınaztepe2, *, Mehmet Sezer1

    CMES-Computer Modeling in Engineering & Sciences, Vol.123, No.3, pp. 973-993, 2020, DOI:10.32604/cmes.2020.09329 - 28 May 2020

    Abstract In this article, we approximate the solution of high order linear Fredholm integro-differential equations with a variable coefficient under the initial-boundary conditions by Bell polynomials. Using collocation points and treating the solution as a linear combination of Bell polynomials, the problem is reduced to linear system of equations whose unknown variables are Bell coefficients. The solution to this algebraic system determines the approximate solution. Error estimation of approximate solution is done. Some examples are provided to illustrate the performance of the method. The numerical results are compared with the collocation method based on Legendre polynomials More >

  • Open Access

    ARTICLE

    RBF Based Localized Method for Solving Nonlinear Partial Integro-Differential Equations

    Marjan Uddin1, *, Najeeb Ullah2, Syed Inayat Ali Shah2

    CMES-Computer Modeling in Engineering & Sciences, Vol.123, No.3, pp. 957-972, 2020, DOI:10.32604/cmes.2020.08911 - 28 May 2020

    Abstract In this work, a numerical scheme is constructed for solving nonlinear parabolictype partial-integro differential equations. The proposed numerical scheme is based on radial basis functions which are local in nature like finite difference numerical schemes. The radial basis functions are used to approximate the derivatives involved and the integral is approximated by equal width integration rule. The resultant differentiation matrices are sparse in nature. After spatial approximation using RBF the partial integro-differential equations reduce to the system of ODEs. Then ODEs system can be solved by various types of ODE solvers. The proposed numerical scheme More >

  • Open Access

    ARTICLE

    A Galerkin-Type Fractional Approach for Solutions of Bagley-Torvik Equations

    Şuayip Yüzbaşı1, *, Murat Karaçayır1

    CMES-Computer Modeling in Engineering & Sciences, Vol.123, No.3, pp. 941-956, 2020, DOI:10.32604/cmes.2020.08938 - 28 May 2020

    Abstract In this study, we present a numerical scheme similar to the Galerkin method in order to obtain numerical solutions of the Bagley Torvik equation of fractional order 3/2. In this approach, the approximate solution is assumed to have the form of a polynomial in the variable t = xα , where α is a positive real parameter of our choice. The problem is firstly expressed in vectoral form via substituting the matrix counterparts of the terms present in the equation. After taking inner product of this vector with nonnegative integer powers of t up to a More >

  • Open Access

    ARTICLE

    Crank-Nicolson ADI Galerkin Finite Element Methods for Two Classes of Riesz Space Fractional Partial Differential Equations

    An Chen1, *

    CMES-Computer Modeling in Engineering & Sciences, Vol.123, No.3, pp. 917-939, 2020, DOI:10.32604/cmes.2020.09224 - 28 May 2020

    Abstract In this paper, two classes of Riesz space fractional partial differential equations including space-fractional and space-time-fractional ones are considered. These two models can be regarded as the generalization of the classical wave equation in two space dimensions. Combining with the Crank-Nicolson method in temporal direction, efficient alternating direction implicit Galerkin finite element methods for solving these two fractional models are developed, respectively. The corresponding stability and convergence analysis of the numerical methods are discussed. Numerical results are provided to verify the theoretical analysis. More >

  • Open Access

    EDITORIAL

    Introduction to the Special Issue on Numerical Methods for Differential and Integral Equations

    Şuayip Yüzbaşı1,*, Kamel Al-Khaled2, Nurcan Baykuş Savaşaneril3, Devendra Kumar4

    CMES-Computer Modeling in Engineering & Sciences, Vol.123, No.3, pp. 913-915, 2020, DOI:10.32604/cmes.2020.011225 - 28 May 2020

    Abstract This article has no abstract. More >

  • Open Access

    ARTICLE

    DNA damage-induced by sodium flouride (NaF) and the effect of cholicalciferol

    VEYSEL YÜKSEK1,*, SEMIHA DEDE2, AYŞE USTA3, SEDAT ÇETIN2, MEHMET TAŞPINAR4

    BIOCELL, Vol.44, No.2, pp. 263-268, 2020, DOI:10.32604/biocell.2020.09172 - 27 May 2020

    Abstract It is known that the high electronegativity of fluorine affects various soft tissues, especially the bone structure in organisms. Of these tissues are the kidneys, which play an important role in the excretion of fluoride from the body. Fluoride affects many cellular mechanisms. One of these effects is DNA damage. Our study aimed to investigate the likely protective effect of cholecalciferol (vitamin D3) on genomic DNA damage-induced NaF depending on concentration and time. The IC25 and IC50 values of NaF for 3, 12 and 24 h and optimum dose of increase in proliferation to vitamin D3More >

  • Open Access

    ARTICLE

    Association of hypoxia-inducible factor-1α (HIF1α) 1772C/T gene polymorphism with susceptibility to renal cell carcinoma/prostate cancer

    HONGYAN LI1,#, CHUNLING LIAO2,#, WENJUAN WENG2, HONGZHEN ZHONG2, TIANBIAO ZHOU2,*

    BIOCELL, Vol.44, No.2, pp. 257-262, 2020, DOI:10.32604/biocell.2020.08826 - 27 May 2020

    Abstract In this study, we used a meta-analysis method to evaluate the relationship between hypoxia-inducible factor-1α (HIF1α) 1772C/T gene polymorphism (rs 11549465) and renal cell carcinoma (RCC)/prostate cancer risk. We searched for relevant studies (before March 1, 2019) on Cochrane Library, Embase, and PubMed. Studies meeting the inclusion criteria were recruited into this meta-analysis. The outcome of dichotomous data was showed in the way of odds ratios (OR), and 95% confidence intervals (CI) were also counted. In this investigation, there was no association between HIF1α 1772C/T gene polymorphism and susceptibility to RCC in Caucasians, Asians as More >

  • Open Access

    ARTICLE

    Combined molecular docking, homology modeling and DFT method for the modification of bovine serum albumin (BSA) to improve fluorescence spectroscopy for phthalate acid esters chelated with BSA

    MINGHAO LI1, YOULI QIU2, WENHUI ZHANG1, RUIHAO SUN1, MEIJIN DU1, LUZE YANG3, YU LI1,*

    BIOCELL, Vol.44, No.2, pp. 247-255, 2020, DOI:10.32604/biocell.2020.08835 - 27 May 2020

    Abstract While phthalate acid esters (PAEs) cannot fluoresce alone, they can be detected by fluorescence spectroscopy after chelation with bovine serum albumin (BSA). In this study, the types of amino acid residues at the active site of PAEs chelated with BSA were determined using molecular docking technology. A modification scheme of BSA with higher detection sensitivity fluorescence spectroscopy for PAEs was proposed based on the docking results and constructed for a novel BSA structure with a higher detection sensitivity of fluorescence spectroscopy using a homologous modeling method. Density functional theory (DFT) was employed to explore the… More >

  • Open Access

    ARTICLE

    Age-related modifications of macrophages influenced by “inflammageing” in graft vs. host disease

    YAQUN HONG1,2, BO WAN3, XIAOFAN LI1,4,*

    BIOCELL, Vol.44, No.2, pp. 237-246, 2020, DOI:10.32604/biocell.2020.08887 - 27 May 2020

    Abstract Most studies focus on the adaptive immune cells in the GVHD pathogenesis, while little is known about innate immune cells in GVHD occurrence and development, especially macrophages. Meanwhile, a higher incidence of graft versus host disease (GVHD) is also found in the elderly patients. Though advances have been made in the modification of macrophages influenced by the inflamm-ageing, there is still no review on the role of macrophages in GVHD and the association between GVHD and the altered macrophages by inflamm-ageing. In this review, we focus on the potential age-related modifications of macrophage in GVHD, More >

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