In this paper,Haar collocation algorithmis developed for the solution of first-order ofHIV infection CD4^(+)T-Cells model.In this technique,the derivative in the nonlinear model is approximated by utilizing Haar funct...In this paper,Haar collocation algorithmis developed for the solution of first-order ofHIV infection CD4^(+)T-Cells model.In this technique,the derivative in the nonlinear model is approximated by utilizing Haar functions.The value of the unknown function is obtained by the process of integration.Error estimation is also discussed,which aims to reduce the error of numerical solutions.The numerical results show that the method is simply applicable.The results are compared with Runge-Kutta technique,Bessel collocation technique,LADM-Pade and Galerkin technique available in the literature.The results show that the Haar technique is easy,precise and effective.展开更多
Barley Fusarium head blight(FHB),caused by species of the Fusarium fungus,is a devastating disease that is reemerging worldwide in recent years.In this study,a novel gene,HvORG4,was cloned from barley by using cDNA li...Barley Fusarium head blight(FHB),caused by species of the Fusarium fungus,is a devastating disease that is reemerging worldwide in recent years.In this study,a novel gene,HvORG4,was cloned from barley by using cDNA library and suppression subtractive hybridization(SSH) library strategies.The SSH library and cDNA library were constructed from the Chinese barley cultivar Jing02-461(resistance to FHB) infected by Fusarium graminearum isolate Huanggang-1.For the SSH analysis,more than 120 differentially expressed cDNAs were identified and sequenced.One of them showed high homology to the AtORG4 gene and was used as a probe to screen the cDNA library of Jing02-461.Six positive clones were identified and one of them contained a full-length cDNA,which was named HvORG4.Sequence analysis showed that HvORG4 encoded a deduced basic protein of 197 amino acids.Northern blotting analysis showed that HvORG4 was constitutively expressed in root and stalk,not in leaf or spike,and strongly induced in barley spikelets in response to infection with F.graminearum isolate Huanggang-1.Its homology and expression profile suggest that the HvORG4 might function as a transcription factor,playing an important role in signal transduction pathway for defense against FHB in barley.展开更多
Apis mellifera filamentous virus(Am FV)is a large DNA virus that is endemic in honeybee colonies.The genome sequence of the Am FV Swiss isolate(Am FV CH–C05)has been reported,but so far very few molecular studies hav...Apis mellifera filamentous virus(Am FV)is a large DNA virus that is endemic in honeybee colonies.The genome sequence of the Am FV Swiss isolate(Am FV CH–C05)has been reported,but so far very few molecular studies have been conducted on this virus.In this study,we isolated and purified Am FV(Am FV CN)from Chinese honeybee(Apis mellifera)colonies and elucidated its genomics and proteomics.Electron microscopy showed ovoid purified virions with dimensions of 300–500×210–285 nm,wrapping a 3165×40 nm filamentous nucleocapsid in three figure-eight loops.Unlike Am FV CH–C05,which was reported to have a circular genome,our data suggest that Am FV CN has a linear genome of approximately 493 kb.A total of 197 ORFs were identified,among which36 putative genes including 18 baculoviral homologs were annotated.The overall nucleotide similarity between the CN and CH–C05 isolates was 96.9%.Several ORFs were newly annotated in Am FV CN,including homologs of per os infectivity factor 4(PIF4)and a putative integrase.Phylogenomic analysis placed Am FVs on a separate branch within the newly proposed virus class Naldaviricetes.Proteomic analysis revealed 47 Am FV virionassociated proteins,of which 14 had over 50%sequence coverage,suggesting that they are likely to be main structural proteins.In addition,all six of the annotated PIFs(PIF-0–5)were identified by proteomics,suggesting that they may function as entry factors in Am FV infection.This study provides fundamental information regarding the molecular biology of Am FV.展开更多
The HIV infection model of CD4＋ T-cells corresponds to a class of nonlinear ordinary differential equation systems. In this study, we provide the approximate solution of this model by using orthonormal Bernstein poly...The HIV infection model of CD4＋ T-cells corresponds to a class of nonlinear ordinary differential equation systems. In this study, we provide the approximate solution of this model by using orthonormal Bernstein polynomials （OBPs）. By applying the proposed method, the nonlinear system of ordinary differential equations reduces to a nonlinear system of algebraic equations which can be solved by using a suitable numerical method such as Newton＇s method. We prove some useful theorems concerning the convergence and error estimate associated to the present method. Finally, we apply the proposed method to get the numerical solution of this model with the arbitrary initial conditions and values. Furthermore, the numerical results obtained by the suggested method are compared with the results achieved by other previous methods. These results indicate that this method agrees with other previous methods.展开更多
Pathogenic Escherichia coli cause chicken colibacillosis, which is economically devastating to the poultry in- dustry worldwide （Bagheri et al., 2014）. Owing to in- creasing antibiotic resistance, phage therapy reag...Pathogenic Escherichia coli cause chicken colibacillosis, which is economically devastating to the poultry in- dustry worldwide （Bagheri et al., 2014）. Owing to in- creasing antibiotic resistance, phage therapy reagents have been developed to treat bacterial infections （Xu et al., 2015）.展开更多
In this paper, the human immunodeficiency virus （HIV） infection model of CD4＋ T-cells is considered. In order to numerically solve the model problem, an operational method is proposed. For that purpose, we construc...In this paper, the human immunodeficiency virus （HIV） infection model of CD4＋ T-cells is considered. In order to numerically solve the model problem, an operational method is proposed. For that purpose, we construct the operational matrix of integration for bases of Taylor polynomials. Then, by using this matrix operation and approximation by polynomials, the HIV infection problem is transformed into a system of algebraic equations, whose roots are used to determine the approximate solutions. An important feature of the method is that it does not require collocation points. In addition, an error estimation technique is presented. We apply the present method to two numerical examples and compare our results with other methods.展开更多
Mathematical models and computer simulations are useful experimental tools for building and testing theories. Many mathematical models in biology can be formulated by a nonlinear system of ordinary differential equati...Mathematical models and computer simulations are useful experimental tools for building and testing theories. Many mathematical models in biology can be formulated by a nonlinear system of ordinary differential equations. This work deals with the numerical solution of the hantavirus infection model, the human immunodeficiency virus （HIV） infection model of CD4^＋T cells and the susceptible-infected-removed （SIR） epidemic model using a new reliable algorithm based on shifted Boubaker Lagrangian （SBL） method. This method reduces the solution of such system to a system of linear or non- linear algebraic equations which are solved using the Newton iteration method. The obtained results of the proposed method show highly accurate and valid for an arbitrary finite interval. Also, those are compared with fourth-order Runge-Kutta （RK4） method and with the solutions obtained by some other methods in the literature.展开更多
In this paper, an exponential method is presented for the approximate solutions of the HIV infection model of CD4＋T. The method is based on exponential polynomi- als and collocation points. This model problem corresp...In this paper, an exponential method is presented for the approximate solutions of the HIV infection model of CD4＋T. The method is based on exponential polynomi- als and collocation points. This model problem corresponds to a system of nonlinear ordinary differential equations. Matrix relations are constructed for the exponential functions. By aid of these matrix relations and the collocation points, the proposed technique transforms the model problem into a system of nonlinear algebraic equations. By solving the system of the algebraic equations, the unknown coefficients are com- puted and thus the approximate solutions are obtained. The applications of the method for the considered problem are given and the comparisons are made with the other methods.展开更多
文摘In this paper,Haar collocation algorithmis developed for the solution of first-order ofHIV infection CD4^(+)T-Cells model.In this technique,the derivative in the nonlinear model is approximated by utilizing Haar functions.The value of the unknown function is obtained by the process of integration.Error estimation is also discussed,which aims to reduce the error of numerical solutions.The numerical results show that the method is simply applicable.The results are compared with Runge-Kutta technique,Bessel collocation technique,LADM-Pade and Galerkin technique available in the literature.The results show that the Haar technique is easy,precise and effective.
文摘Barley Fusarium head blight(FHB),caused by species of the Fusarium fungus,is a devastating disease that is reemerging worldwide in recent years.In this study,a novel gene,HvORG4,was cloned from barley by using cDNA library and suppression subtractive hybridization(SSH) library strategies.The SSH library and cDNA library were constructed from the Chinese barley cultivar Jing02-461(resistance to FHB) infected by Fusarium graminearum isolate Huanggang-1.For the SSH analysis,more than 120 differentially expressed cDNAs were identified and sequenced.One of them showed high homology to the AtORG4 gene and was used as a probe to screen the cDNA library of Jing02-461.Six positive clones were identified and one of them contained a full-length cDNA,which was named HvORG4.Sequence analysis showed that HvORG4 encoded a deduced basic protein of 197 amino acids.Northern blotting analysis showed that HvORG4 was constitutively expressed in root and stalk,not in leaf or spike,and strongly induced in barley spikelets in response to infection with F.graminearum isolate Huanggang-1.Its homology and expression profile suggest that the HvORG4 might function as a transcription factor,playing an important role in signal transduction pathway for defense against FHB in barley.
基金the Open Research Fund Program of the State Key Laboratory of Virology of China(Grant No.2019IOV004)the key Research Program of Frontier Sciences of Chinese Academy of Sciences(Grant No.QYZDJ-SSW-SMC021)the National Natural Science Foundation of China(Grant No.31900154 and 31572471)。
文摘Apis mellifera filamentous virus(Am FV)is a large DNA virus that is endemic in honeybee colonies.The genome sequence of the Am FV Swiss isolate(Am FV CH–C05)has been reported,but so far very few molecular studies have been conducted on this virus.In this study,we isolated and purified Am FV(Am FV CN)from Chinese honeybee(Apis mellifera)colonies and elucidated its genomics and proteomics.Electron microscopy showed ovoid purified virions with dimensions of 300–500×210–285 nm,wrapping a 3165×40 nm filamentous nucleocapsid in three figure-eight loops.Unlike Am FV CH–C05,which was reported to have a circular genome,our data suggest that Am FV CN has a linear genome of approximately 493 kb.A total of 197 ORFs were identified,among which36 putative genes including 18 baculoviral homologs were annotated.The overall nucleotide similarity between the CN and CH–C05 isolates was 96.9%.Several ORFs were newly annotated in Am FV CN,including homologs of per os infectivity factor 4(PIF4)and a putative integrase.Phylogenomic analysis placed Am FVs on a separate branch within the newly proposed virus class Naldaviricetes.Proteomic analysis revealed 47 Am FV virionassociated proteins,of which 14 had over 50%sequence coverage,suggesting that they are likely to be main structural proteins.In addition,all six of the annotated PIFs(PIF-0–5)were identified by proteomics,suggesting that they may function as entry factors in Am FV infection.This study provides fundamental information regarding the molecular biology of Am FV.
文摘The HIV infection model of CD4＋ T-cells corresponds to a class of nonlinear ordinary differential equation systems. In this study, we provide the approximate solution of this model by using orthonormal Bernstein polynomials （OBPs）. By applying the proposed method, the nonlinear system of ordinary differential equations reduces to a nonlinear system of algebraic equations which can be solved by using a suitable numerical method such as Newton＇s method. We prove some useful theorems concerning the convergence and error estimate associated to the present method. Finally, we apply the proposed method to get the numerical solution of this model with the arbitrary initial conditions and values. Furthermore, the numerical results obtained by the suggested method are compared with the results achieved by other previous methods. These results indicate that this method agrees with other previous methods.
基金supported by grants from the Nature Science Foundation of Shandong Province of China (grant nos.ZR2013CQ024 and ZR2015CM020)
文摘Pathogenic Escherichia coli cause chicken colibacillosis, which is economically devastating to the poultry in- dustry worldwide （Bagheri et al., 2014）. Owing to in- creasing antibiotic resistance, phage therapy reagents have been developed to treat bacterial infections （Xu et al., 2015）.
文摘In this paper, the human immunodeficiency virus （HIV） infection model of CD4＋ T-cells is considered. In order to numerically solve the model problem, an operational method is proposed. For that purpose, we construct the operational matrix of integration for bases of Taylor polynomials. Then, by using this matrix operation and approximation by polynomials, the HIV infection problem is transformed into a system of algebraic equations, whose roots are used to determine the approximate solutions. An important feature of the method is that it does not require collocation points. In addition, an error estimation technique is presented. We apply the present method to two numerical examples and compare our results with other methods.
文摘Mathematical models and computer simulations are useful experimental tools for building and testing theories. Many mathematical models in biology can be formulated by a nonlinear system of ordinary differential equations. This work deals with the numerical solution of the hantavirus infection model, the human immunodeficiency virus （HIV） infection model of CD4^＋T cells and the susceptible-infected-removed （SIR） epidemic model using a new reliable algorithm based on shifted Boubaker Lagrangian （SBL） method. This method reduces the solution of such system to a system of linear or non- linear algebraic equations which are solved using the Newton iteration method. The obtained results of the proposed method show highly accurate and valid for an arbitrary finite interval. Also, those are compared with fourth-order Runge-Kutta （RK4） method and with the solutions obtained by some other methods in the literature.
文摘In this paper, an exponential method is presented for the approximate solutions of the HIV infection model of CD4＋T. The method is based on exponential polynomi- als and collocation points. This model problem corresponds to a system of nonlinear ordinary differential equations. Matrix relations are constructed for the exponential functions. By aid of these matrix relations and the collocation points, the proposed technique transforms the model problem into a system of nonlinear algebraic equations. By solving the system of the algebraic equations, the unknown coefficients are com- puted and thus the approximate solutions are obtained. The applications of the method for the considered problem are given and the comparisons are made with the other methods.
