Lithium-sulfur batteries(LSBs)represent a next-generation energy storage technology,but widespread applications are restricted by the shuttle of lithium polysulfides(LiPSs).The rational design of separators has been d...Lithium-sulfur batteries(LSBs)represent a next-generation energy storage technology,but widespread applications are restricted by the shuttle of lithium polysulfides(LiPSs).The rational design of separators has been demonstrated to be one of the most efficient and cost-effective strategies to curb the shuttle effect,and tremendous research progress has been achieved.The efficiency of a separator depends on its interaction with LiPSs,which is governed by the surface energy and binding strength.Despite several review works that have been reported to advance the separators,most of them primarily focus on active material innovation and construction.The most crucial issues of surface binding energy have not been systematically reviewed,limiting the precise design of efficient separators.In this review,fundamentals related to surface energy and binding interactions with LiPSs are comprehensively analyzed and discussed.With surface binding and energy main lines,the advancements in separator engineering strategies are elaborately summarized and discussed.Moreover,techniques for evaluating affinity to LiPSs are thoroughly analyzed to avoid any ambiguities in measurement.Based on the research context,valuable research directions are suggested to construct efficient separators.This work provides guidelines to regulate the surface binding and energy of separators for high-performance LSBs.展开更多
The von Hippel-Lindau tumor suppressor(VHL)has been extensively used to develop degraders targeting numerous proteins of interest.However,studies on the rational design of VHL-proteolysis-targeting chimeras(PROTACs)re...The von Hippel-Lindau tumor suppressor(VHL)has been extensively used to develop degraders targeting numerous proteins of interest.However,studies on the rational design of VHL-proteolysis-targeting chimeras(PROTACs)remain scarce.This study aimed to develop strategies to investigate VHL-recruiting PROTACs connecting with varying attachment sites on VHL ligands,which could be utilized for KRAS^(G12C) degraders development and expanded to additional targets.We developed a molecular dynamics(MD)-based strategy to explore the stability of ternary complexes induced by KRAS^(G12C) PROTACs with four distinct attachment sites of VH032.We found a potent degrader namely YN14-H,linked to hydroxyl group on VH032 benzene ring,exhibited the most superior ability of inducing ternary complexes,reflected by the lowest dissociation constant(Kd)for ternary complex induction and the highest AlphaScreen(AS)-based interaction.YN14-H inhibited cell growth with low nanomolar half maximal inhibitory concentration(IC_(50))and half maximal degradation concentration(DC_(50))values as well as>98%of maximum degradation(D_(max))in NCI-H358 and MIA PaCa-2 cells harboring KRAS^(G12C)-mutation.Mechanistically,YN14-H significantly induced apoptosis and inhibited the migratory capacity.Notably,YN14-H demonstrated favorable pharmacokinetic properties and excellent antitumor activity in vivo.Furthermore,bromodomain-containing protein 7(BRD7)and Bruton tyrosine kinase(BTK)degraders attached to distinct sites on VH032 further verified the rationality and universality of our MD-based strategies.Our findings demonstrated that YN14-H could serve as a promising candidate for the treatment of tumors with KRAS^(G12C)-mutation and present a strategy for the rational design of VHL-recruiting PROTACs that target additional proteins at distinct attachment sites.展开更多
In this paper, we present a new rational algebraic approach to uniformly construct a series of exact analytical solutions for nonlinear partial differential equations. Compared with most existing tanh methods and othe...In this paper, we present a new rational algebraic approach to uniformly construct a series of exact analytical solutions for nonlinear partial differential equations. Compared with most existing tanh methods and other sophisticated methods, the proposed method not only recovers some known solutions, but also finds some new and general solutions. The solutions obtained in this paper include rational form triangular periodic wave solutions, solitary wave solutions, and elliptic doubly periodic wave solutions. The efficiency of the method can be demonstrated on （2＋1）-dimensional dispersive long-wave equation.展开更多
This paper deals with the representation of the solutions of a polynomial system, and concentrates on the high-dimensional case. Based on the rational univari- ate representation of zero-dimensional polynomial systems...This paper deals with the representation of the solutions of a polynomial system, and concentrates on the high-dimensional case. Based on the rational univari- ate representation of zero-dimensional polynomial systems, we give a new description called rational representation for the solutions of a high-dimensional polynomial sys- tem and propose an algorithm for computing it. By this way all the solutions of any high-dimensional polynomial system can be represented by a set of so-called rational- representation sets.展开更多
Alarm flood is one of the main problems in the alarm systems of industrial process. Alarm root-cause analysis and alarm prioritization are good for alarm flood reduction. This paper proposes a systematic rationalizati...Alarm flood is one of the main problems in the alarm systems of industrial process. Alarm root-cause analysis and alarm prioritization are good for alarm flood reduction. This paper proposes a systematic rationalization method for multivariate correlated alarms to realize the root cause analysis and alarm prioritization. An information fusion based interpretive structural model is constructed according to the data-driven partial correlation coefficient calculation and process knowledge modification. This hierarchical multi-layer model is helpful in abnormality propagation path identification and root-cause analysis. Revised Likert scale method is adopted to determine the alarm priority and reduce the blindness of alarm handling. As a case study, the Tennessee Eastman process is utilized to show the effectiveness and validity of proposed approach. Alarm system performance comparison shows that our rationalization methodology can reduce the alarm flood to some extent and improve the performance.展开更多
A theorem for osculatory rational interpolation was shown to establish a new criterion of interpolation. On the basis of this conclusion a practical algorithm was presented to get a reduction model of the linear syste...A theorem for osculatory rational interpolation was shown to establish a new criterion of interpolation. On the basis of this conclusion a practical algorithm was presented to get a reduction model of the linear systems. Some numerical examples were given to explain the result in this paper.展开更多
Under investigation in this paper is a relativistic Toda lattice system with one perturbation parameterαabbreviated as RTLαsystem by Suris,which may describe the motions of particles in lattices interacting through ...Under investigation in this paper is a relativistic Toda lattice system with one perturbation parameterαabbreviated as RTLαsystem by Suris,which may describe the motions of particles in lattices interacting through an exponential interaction force.First of all,an integrable lattice hierarchy associated with an RTLαsystem is constructed,from which some relevant integrable properties such as Hamiltonian structures,Liouville integrability and conservation laws are investigated.Secondly,the discrete generalized(m,2 N-m)-fold Darboux transformation is constructed to derive multi-soliton solutions,higher-order rational and semirational solutions,and their mixed solutions of an RTLαsystem.The soliton elastic interactions and details of rational solutions are analyzed via the graphics and asymptotic analysis.Finally,soliton dynamical evolutions are investigated via numerical simulations,showing that a small noise has very little effect on the soliton propagation.These results may provide new insight into nonlinear lattice dynamics described by RTLαsystem.展开更多
Fokas system is the simplest(2+1)-dimensional extension of the nonlinear Schrodinger equation(Eq.(2),Inverse Problems 10(1994) L19-L22).By using the bilinear transformation method,general rational solutions for the Fo...Fokas system is the simplest(2+1)-dimensional extension of the nonlinear Schrodinger equation(Eq.(2),Inverse Problems 10(1994) L19-L22).By using the bilinear transformation method,general rational solutions for the Fokas system are given explicitly in terms of two order-N determinants T_n(n = 0,1) whose elements m_(i,j)^(n)(n = 0,1;1≤i,j≤N)are involved with order-n_i and order-n_j derivatives.When N = 1,three kinds of rational solution,i.e.,fundamental lump and fundamental rogue wave(RW) with n_1 = 1,and higher-order rational solution with n_1 > 2,are illustrated by explicit formulas from T_n(n = 0,1) and pictures.The fundamental RW is a line RW possessing a line profile on(x,y)-plane,which arises from a constant background with at t << 0 and then disappears into the constant background gradually at t >> 0.The fundamental lump is a traveling wave,which can preserve its profile during the propagation on(x,y)-plane.When N ≥2 and n_1 =n_2=...=n_n = 1,several specific multi-rational solutions are given graphically.展开更多
Taking the (2+1)-dimensional Broer-Kaup-Kupershmidt system as a simple example, some families of rational form solitary wave solutions, triangular periodic wave solutions, and rational wave solutions are constructed b...Taking the (2+1)-dimensional Broer-Kaup-Kupershmidt system as a simple example, some families of rational form solitary wave solutions, triangular periodic wave solutions, and rational wave solutions are constructed by using the Riccati equation rational expansion method presented by us. The method can also be applied to solve more nonlinear partial differential equation or equations.展开更多
With the aid of computerized symbolic computation and Riccati equation rational expansion approach, some new and more general rational formal solutions to （2＋1）-dimensional Toda system are obtained. The method used...With the aid of computerized symbolic computation and Riccati equation rational expansion approach, some new and more general rational formal solutions to （2＋1）-dimensional Toda system are obtained. The method used here can also be applied to solve other nonlinear differential-difference equation or equations.展开更多
The rational construction of active targeting liposomes will provide an important structural support for its effective brain targeting.However,there is no clear understanding of the structure-activity relationship of ...The rational construction of active targeting liposomes will provide an important structural support for its effective brain targeting.However,there is no clear understanding of the structure-activity relationship of active targeting liposomes.Combining multiscale computational simulation and experimental verification,we established a computational model of RVGP modified PEGylated liposomes(RVGP-PEG-L)and investigated the role of PEG and molecular interaction mechanism of carrier-ligand-receptor.The result indicated that the complex network conformation formed by PEG with 42 monomers(42 PEG)above the density of 8%was the molecular basis for PEG-L to achieve long-circulation function.The lowest monomer number of PEG linker to ensure the targeting ability of RVGP was 42.However,the pose of RVGP binding to nAChR changed after it was linked with PEG-L due to the restraint of PEG chain,leading to a decrease of binding free energy.Increasing the monomer number of PEG linker or improving the non-polarity of polymers was a potential strategy to enhance the combination of RVGP-PEG-L with nAChR on the targeting cell.展开更多
In this work, by means of a generalized method and symbolic computation, we extend the Jacobi elliptic function rational expansion method to uniformly construct a series of stochastic wave solutions for stochastic evo...In this work, by means of a generalized method and symbolic computation, we extend the Jacobi elliptic function rational expansion method to uniformly construct a series of stochastic wave solutions for stochastic evolution equations. To illustrate the effectiveness of our method, we take the （2＋ 1）-dimensional stochastic dispersive long wave system as an example. We not only have obtained some known solutions, but also have constructed some new rational formal stochastic Jacobi elliptic function solutions.展开更多
When a feedback system has components described by non-rational transfer functions, a standard practice in designing such a system is to replace the non-rational functions with rational approximants and then carry out...When a feedback system has components described by non-rational transfer functions, a standard practice in designing such a system is to replace the non-rational functions with rational approximants and then carry out the design with the approximants by means of a method that copes with rational systems. In order to ensure that the design carried out with the approximants still provides satisfactory results for the original system, a criterion of approximation should be explicitly taken into account in the design formulation. This paper derives such a criterion for multi-input multi-output（MIMO） feedback systems whose design objective is to ensure that the absolute values of every error and every controller output components always stay within prescribed bounds whenever the inputs satisfy certain bounding conditions. The obtained criterion generalizes a known result which was derived for single-input single-output（SISO） systems; furthermore, for a given rational approximant matrix, it is expressed as a set of inequalities that can be solved in practice. Finally, a controller for a binary distillation column is designed by using the criterion in conjunction with the method of inequalities. The numerical results clearly demonstrate that the usefulness of the criterion in obtaining a design solution for the original system.展开更多
A Multi-Agent System （ MAS ） is a promising approach to build complex system. This paper introduces the research of the Inner-Enterprise Credit Rating MAS （ IECRMAS）. To raise the rating accuracy, we not only cons...A Multi-Agent System （ MAS ） is a promising approach to build complex system. This paper introduces the research of the Inner-Enterprise Credit Rating MAS （ IECRMAS）. To raise the rating accuracy, we not only consider the rating-target＇s information, but also focus on the evaluators＇ feature information and propose the rational rating-group formation algorithm based on an anti-bias measurement of the group. We also propose the rational rating individual, which consists of the evaluator and the assistant rating agent. A rational group formation protocol is designed to coordinate autonomous agents to perform the rating job.展开更多
Let X be a closed simply connected rationally elliptic 4-manifold.The rational homotopy type of homotopy fixed point sets X^(hS^(1))is determined,and based on some relations between X^(hS^(1))and X^(S^(1)),the rationa...Let X be a closed simply connected rationally elliptic 4-manifold.The rational homotopy type of homotopy fixed point sets X^(hS^(1))is determined,and based on some relations between X^(hS^(1))and X^(S^(1)),the rational homotopy type of the fixed point set X^(S^(1))is determined.展开更多
In the successive rise of the metaverse and artificial intelligence(AI),rationalism and emotionalism have consistently manifested as symptoms of modernity throughout their developmental trajectories.This paper argues ...In the successive rise of the metaverse and artificial intelligence(AI),rationalism and emotionalism have consistently manifested as symptoms of modernity throughout their developmental trajectories.This paper argues that the achievements and crises of both fields signify the triumph of rationalism in the context of deepening modernity,while simultaneously harboring an intrinsic impetus and possibility for transitioning from rationalism to emotionalism.This dynamic serves as a quintessential representation of modernity’s crises and their transcendence.Centered on embodied cognitive science,AI and the metaverse—rooted in rationalism—now face challenges in shifting toward emotionalism,revealing their inadequacy in addressing this shift.Humanity must explore new modernity-deepening paradigms grounded in emotionalism to confront and transcend the potential crises posed by the metaverse and AI.展开更多
This research aims to understand the causes of fraud through the approach of the Fraud Triangle Theory,which includes three main factors:pressure,opportunity,rationalization.By using the Systematic Literature Review m...This research aims to understand the causes of fraud through the approach of the Fraud Triangle Theory,which includes three main factors:pressure,opportunity,rationalization.By using the Systematic Literature Review method from various relevant international journals,it analyzed systematically to identify patterns,trends,and theoretical contributions to efforts in detecting and preventing fraud.The results of this study show that the three factors in the Fraud Triangle Theory significantly contribute to the occurrence of fraud.Opportunity as the most dominant factor is caused by weak internal control systems and lack of oversight.In addition,economic pressure,and a permissive organizational environment,as well as the rationalization processes by individuals,also increase the tendency for a person to commit fraud.These findings emphasize the need for a comprehensive approach in fraud prevention strategies,through ethical values,the establishment of an organizational culture with integrity,and the implementation of more effective internal control and oversight.展开更多
Background:Neutrophil-lymphocyte ratio(NLR)and platelet-lymphocyte ration(PLR)have been shown to contribute to tumour progression and response to therapy.Methods:We retrospectively counted NLR and PLR in 719 patients ...Background:Neutrophil-lymphocyte ratio(NLR)and platelet-lymphocyte ration(PLR)have been shown to contribute to tumour progression and response to therapy.Methods:We retrospectively counted NLR and PLR in 719 patients with advanced malignancies receiving chemo-and/or immuno-therapy.Results:Both the pretreatment NLR and PLR were significantly elevated in patients with progressive disease than in those without progressive disease.Compared to low groups,the high NLR and PLR groups showed significantly worse event free survival.Conclusion:We propose that NLR and PLR are not only effective blood markers for predicting therapeutic responses to chemo-and/or immuno-therapy,but also useful in detecting survival in diverse malignancies.展开更多
Heparin,a glycosaminoglycan,is a stable source of carbon that supports the growth of microorganisms in the human intestine.It is also a commonly used anticoagulant drug in clinical practice,with significant therapeuti...Heparin,a glycosaminoglycan,is a stable source of carbon that supports the growth of microorganisms in the human intestine.It is also a commonly used anticoagulant drug in clinical practice,with significant therapeutic effects.Low molecular weight heparin(LMWH)is a highly active low molecular weight fragment obtained via enzymatic reaction or the chemical degradation of heparin.LMWH has been applied globally in the prevention and treatment of venous thromboembolism in thrombosis patients.Simultaneously,as a potential prebiotic,because of its low molecular weight,LMWH can be well degraded by the gut microbiota to maintain intestinal balance.Enzymatic heparin degradation has recently emerged as a viable disposal method for LMWH preparation;however,only very few benchmark enzymes have been thoroughly described and subjected to protein engineering to improve their properties over the past few years.The commercialization of enzymes will require the development of robustly engineered enzymes that meet the demands of industrial processes.Herein,we report a rational protein engineering strategy that includes molecular dynamic simulations of flexible amino acid mutations and disulfide bond screening.Several Bacteroides thetaiotaomicron heparanase I(Bt-HepI)mutants were obtained and screened for high thermal stability.We obtained the Bt-HepI^(D204C/K208C/H189W/Q198R)variant,which features a stabilized protein surface structure,with a 1.3-fold increase in catalytic constant/michaelis-menten constant(k_(cat)/K_(m)),a 2.44-fold increase in thermal stability at 50℃,and a 1.8-fold decrease in the average molecular weight of LMWH produced at 40℃compared with that seen with Bt-HepI^(WT).Our study establishes a strategy to engineer thermostable HepI to underpin its industrial applications.展开更多
Objective:To analyze the positive impact of pharmaceutical care in the ophthalmology perioperative period on the rational use of antibiotics.Methods:A total of 115 patients who underwent ophthalmological surgery betwe...Objective:To analyze the positive impact of pharmaceutical care in the ophthalmology perioperative period on the rational use of antibiotics.Methods:A total of 115 patients who underwent ophthalmological surgery between March and June 2023 were selected as the control group,receiving routine medication management.Another 115 patients who underwent ophthalmological surgery between July and October 2023 were selected as the observation group,receiving pharmaceutical care.The rationality of medication use,mastery of medication knowledge,medication compliance,and adverse reaction rates were compared between the two groups.Results:The observation group had higher rationality of medication use,higher scores for mastery of medication knowledge,higher medication compliance,and a lower adverse reaction rate compared to the control group(P<0.05).Conclusion:The combination of antibiotic therapy and pharmaceutical care in the ophthalmology perioperative period can improve the rationality of medication use,enhance patients’mastery of medication knowledge,increase their medication compliance,and prevent adverse reactions to antibiotics.展开更多
基金supported by the National Natural Science Foundation of China (52172228)the Natural Science Foundation of Fujian Province (2024J01475 and 2023J05127)
文摘Lithium-sulfur batteries(LSBs)represent a next-generation energy storage technology,but widespread applications are restricted by the shuttle of lithium polysulfides(LiPSs).The rational design of separators has been demonstrated to be one of the most efficient and cost-effective strategies to curb the shuttle effect,and tremendous research progress has been achieved.The efficiency of a separator depends on its interaction with LiPSs,which is governed by the surface energy and binding strength.Despite several review works that have been reported to advance the separators,most of them primarily focus on active material innovation and construction.The most crucial issues of surface binding energy have not been systematically reviewed,limiting the precise design of efficient separators.In this review,fundamentals related to surface energy and binding interactions with LiPSs are comprehensively analyzed and discussed.With surface binding and energy main lines,the advancements in separator engineering strategies are elaborately summarized and discussed.Moreover,techniques for evaluating affinity to LiPSs are thoroughly analyzed to avoid any ambiguities in measurement.Based on the research context,valuable research directions are suggested to construct efficient separators.This work provides guidelines to regulate the surface binding and energy of separators for high-performance LSBs.
基金supported by National Natural Science Foundation of China(No.82404417)State Key Laboratory of National Security Specially Needed Medicines Program(No.LTMC2022Zz006).
文摘The von Hippel-Lindau tumor suppressor(VHL)has been extensively used to develop degraders targeting numerous proteins of interest.However,studies on the rational design of VHL-proteolysis-targeting chimeras(PROTACs)remain scarce.This study aimed to develop strategies to investigate VHL-recruiting PROTACs connecting with varying attachment sites on VHL ligands,which could be utilized for KRAS^(G12C) degraders development and expanded to additional targets.We developed a molecular dynamics(MD)-based strategy to explore the stability of ternary complexes induced by KRAS^(G12C) PROTACs with four distinct attachment sites of VH032.We found a potent degrader namely YN14-H,linked to hydroxyl group on VH032 benzene ring,exhibited the most superior ability of inducing ternary complexes,reflected by the lowest dissociation constant(Kd)for ternary complex induction and the highest AlphaScreen(AS)-based interaction.YN14-H inhibited cell growth with low nanomolar half maximal inhibitory concentration(IC_(50))and half maximal degradation concentration(DC_(50))values as well as>98%of maximum degradation(D_(max))in NCI-H358 and MIA PaCa-2 cells harboring KRAS^(G12C)-mutation.Mechanistically,YN14-H significantly induced apoptosis and inhibited the migratory capacity.Notably,YN14-H demonstrated favorable pharmacokinetic properties and excellent antitumor activity in vivo.Furthermore,bromodomain-containing protein 7(BRD7)and Bruton tyrosine kinase(BTK)degraders attached to distinct sites on VH032 further verified the rationality and universality of our MD-based strategies.Our findings demonstrated that YN14-H could serve as a promising candidate for the treatment of tumors with KRAS^(G12C)-mutation and present a strategy for the rational design of VHL-recruiting PROTACs that target additional proteins at distinct attachment sites.
基金The project supported by National Natural Science Foundation of China, the Natural Science Foundation of Shandong Province of China, and the Natural Science Foundation of Liaocheng University .
文摘In this paper, we present a new rational algebraic approach to uniformly construct a series of exact analytical solutions for nonlinear partial differential equations. Compared with most existing tanh methods and other sophisticated methods, the proposed method not only recovers some known solutions, but also finds some new and general solutions. The solutions obtained in this paper include rational form triangular periodic wave solutions, solitary wave solutions, and elliptic doubly periodic wave solutions. The efficiency of the method can be demonstrated on （2＋1）-dimensional dispersive long-wave equation.
基金The National Grand Fundamental Research 973 Program (2004CB318000) of China
文摘This paper deals with the representation of the solutions of a polynomial system, and concentrates on the high-dimensional case. Based on the rational univari- ate representation of zero-dimensional polynomial systems, we give a new description called rational representation for the solutions of a high-dimensional polynomial sys- tem and propose an algorithm for computing it. By this way all the solutions of any high-dimensional polynomial system can be represented by a set of so-called rational- representation sets.
基金Supported by the National Natural Science Foundation of China(61473026,61104131)the Fundamental Research Funds for the Central Universities(JD1413)
文摘Alarm flood is one of the main problems in the alarm systems of industrial process. Alarm root-cause analysis and alarm prioritization are good for alarm flood reduction. This paper proposes a systematic rationalization method for multivariate correlated alarms to realize the root cause analysis and alarm prioritization. An information fusion based interpretive structural model is constructed according to the data-driven partial correlation coefficient calculation and process knowledge modification. This hierarchical multi-layer model is helpful in abnormality propagation path identification and root-cause analysis. Revised Likert scale method is adopted to determine the alarm priority and reduce the blindness of alarm handling. As a case study, the Tennessee Eastman process is utilized to show the effectiveness and validity of proposed approach. Alarm system performance comparison shows that our rationalization methodology can reduce the alarm flood to some extent and improve the performance.
基金supported by the National Natural Science Foundation of China （Grant No.10271074）
文摘A theorem for osculatory rational interpolation was shown to establish a new criterion of interpolation. On the basis of this conclusion a practical algorithm was presented to get a reduction model of the linear systems. Some numerical examples were given to explain the result in this paper.
基金supported by National Natural Science Foundation of China (Grant No. 12 071 042)Beijing Natural Science Foundation (Grant No. 1 202 006)。
文摘Under investigation in this paper is a relativistic Toda lattice system with one perturbation parameterαabbreviated as RTLαsystem by Suris,which may describe the motions of particles in lattices interacting through an exponential interaction force.First of all,an integrable lattice hierarchy associated with an RTLαsystem is constructed,from which some relevant integrable properties such as Hamiltonian structures,Liouville integrability and conservation laws are investigated.Secondly,the discrete generalized(m,2 N-m)-fold Darboux transformation is constructed to derive multi-soliton solutions,higher-order rational and semirational solutions,and their mixed solutions of an RTLαsystem.The soliton elastic interactions and details of rational solutions are analyzed via the graphics and asymptotic analysis.Finally,soliton dynamical evolutions are investigated via numerical simulations,showing that a small noise has very little effect on the soliton propagation.These results may provide new insight into nonlinear lattice dynamics described by RTLαsystem.
基金Supported by the National Natural Science Foundation of China under Grant No.11271210the K.C.Wong Magna Fund in Ningbo University
文摘Fokas system is the simplest(2+1)-dimensional extension of the nonlinear Schrodinger equation(Eq.(2),Inverse Problems 10(1994) L19-L22).By using the bilinear transformation method,general rational solutions for the Fokas system are given explicitly in terms of two order-N determinants T_n(n = 0,1) whose elements m_(i,j)^(n)(n = 0,1;1≤i,j≤N)are involved with order-n_i and order-n_j derivatives.When N = 1,three kinds of rational solution,i.e.,fundamental lump and fundamental rogue wave(RW) with n_1 = 1,and higher-order rational solution with n_1 > 2,are illustrated by explicit formulas from T_n(n = 0,1) and pictures.The fundamental RW is a line RW possessing a line profile on(x,y)-plane,which arises from a constant background with at t << 0 and then disappears into the constant background gradually at t >> 0.The fundamental lump is a traveling wave,which can preserve its profile during the propagation on(x,y)-plane.When N ≥2 and n_1 =n_2=...=n_n = 1,several specific multi-rational solutions are given graphically.
文摘Taking the (2+1)-dimensional Broer-Kaup-Kupershmidt system as a simple example, some families of rational form solitary wave solutions, triangular periodic wave solutions, and rational wave solutions are constructed by using the Riccati equation rational expansion method presented by us. The method can also be applied to solve more nonlinear partial differential equation or equations.
基金The project supported by National Natural Science Foundation of China and the Natural Science Foundation of Shandong Province.
文摘With the aid of computerized symbolic computation and Riccati equation rational expansion approach, some new and more general rational formal solutions to （2＋1）-dimensional Toda system are obtained. The method used here can also be applied to solve other nonlinear differential-difference equation or equations.
基金National Natural Science Foundation of China(Grant No.81202469)
文摘The rational construction of active targeting liposomes will provide an important structural support for its effective brain targeting.However,there is no clear understanding of the structure-activity relationship of active targeting liposomes.Combining multiscale computational simulation and experimental verification,we established a computational model of RVGP modified PEGylated liposomes(RVGP-PEG-L)and investigated the role of PEG and molecular interaction mechanism of carrier-ligand-receptor.The result indicated that the complex network conformation formed by PEG with 42 monomers(42 PEG)above the density of 8%was the molecular basis for PEG-L to achieve long-circulation function.The lowest monomer number of PEG linker to ensure the targeting ability of RVGP was 42.However,the pose of RVGP binding to nAChR changed after it was linked with PEG-L due to the restraint of PEG chain,leading to a decrease of binding free energy.Increasing the monomer number of PEG linker or improving the non-polarity of polymers was a potential strategy to enhance the combination of RVGP-PEG-L with nAChR on the targeting cell.
基金The project partially supported by the State Key Basic Research Program of China under Grant No. 2004CB318000
文摘In this work, by means of a generalized method and symbolic computation, we extend the Jacobi elliptic function rational expansion method to uniformly construct a series of stochastic wave solutions for stochastic evolution equations. To illustrate the effectiveness of our method, we take the （2＋ 1）-dimensional stochastic dispersive long wave system as an example. We not only have obtained some known solutions, but also have constructed some new rational formal stochastic Jacobi elliptic function solutions.
基金financial support from the honour program of the Department of Electrical Engineering,Faculty of Engineering,Chulalongkorn University
文摘When a feedback system has components described by non-rational transfer functions, a standard practice in designing such a system is to replace the non-rational functions with rational approximants and then carry out the design with the approximants by means of a method that copes with rational systems. In order to ensure that the design carried out with the approximants still provides satisfactory results for the original system, a criterion of approximation should be explicitly taken into account in the design formulation. This paper derives such a criterion for multi-input multi-output（MIMO） feedback systems whose design objective is to ensure that the absolute values of every error and every controller output components always stay within prescribed bounds whenever the inputs satisfy certain bounding conditions. The obtained criterion generalizes a known result which was derived for single-input single-output（SISO） systems; furthermore, for a given rational approximant matrix, it is expressed as a set of inequalities that can be solved in practice. Finally, a controller for a binary distillation column is designed by using the criterion in conjunction with the method of inequalities. The numerical results clearly demonstrate that the usefulness of the criterion in obtaining a design solution for the original system.
基金This paper is supported by National Science Foundation of China under Grant No60542004
文摘A Multi-Agent System （ MAS ） is a promising approach to build complex system. This paper introduces the research of the Inner-Enterprise Credit Rating MAS （ IECRMAS）. To raise the rating accuracy, we not only consider the rating-target＇s information, but also focus on the evaluators＇ feature information and propose the rational rating-group formation algorithm based on an anti-bias measurement of the group. We also propose the rational rating individual, which consists of the evaluator and the assistant rating agent. A rational group formation protocol is designed to coordinate autonomous agents to perform the rating job.
文摘Let X be a closed simply connected rationally elliptic 4-manifold.The rational homotopy type of homotopy fixed point sets X^(hS^(1))is determined,and based on some relations between X^(hS^(1))and X^(S^(1)),the rational homotopy type of the fixed point set X^(S^(1))is determined.
基金supported by the China Metaverse and Digital Talent Development Initiative and the general project of the National Social Science Foundation of China titled“Theoretical Interpretation of Advertising Messaging and the Development of a Typical Case Database”(19BXW085).
文摘In the successive rise of the metaverse and artificial intelligence(AI),rationalism and emotionalism have consistently manifested as symptoms of modernity throughout their developmental trajectories.This paper argues that the achievements and crises of both fields signify the triumph of rationalism in the context of deepening modernity,while simultaneously harboring an intrinsic impetus and possibility for transitioning from rationalism to emotionalism.This dynamic serves as a quintessential representation of modernity’s crises and their transcendence.Centered on embodied cognitive science,AI and the metaverse—rooted in rationalism—now face challenges in shifting toward emotionalism,revealing their inadequacy in addressing this shift.Humanity must explore new modernity-deepening paradigms grounded in emotionalism to confront and transcend the potential crises posed by the metaverse and AI.
文摘This research aims to understand the causes of fraud through the approach of the Fraud Triangle Theory,which includes three main factors:pressure,opportunity,rationalization.By using the Systematic Literature Review method from various relevant international journals,it analyzed systematically to identify patterns,trends,and theoretical contributions to efforts in detecting and preventing fraud.The results of this study show that the three factors in the Fraud Triangle Theory significantly contribute to the occurrence of fraud.Opportunity as the most dominant factor is caused by weak internal control systems and lack of oversight.In addition,economic pressure,and a permissive organizational environment,as well as the rationalization processes by individuals,also increase the tendency for a person to commit fraud.These findings emphasize the need for a comprehensive approach in fraud prevention strategies,through ethical values,the establishment of an organizational culture with integrity,and the implementation of more effective internal control and oversight.
基金supported by the project of Young Technical Talents of Tianjin Medical University General Hospital(GG-2021-08).
文摘Background:Neutrophil-lymphocyte ratio(NLR)and platelet-lymphocyte ration(PLR)have been shown to contribute to tumour progression and response to therapy.Methods:We retrospectively counted NLR and PLR in 719 patients with advanced malignancies receiving chemo-and/or immuno-therapy.Results:Both the pretreatment NLR and PLR were significantly elevated in patients with progressive disease than in those without progressive disease.Compared to low groups,the high NLR and PLR groups showed significantly worse event free survival.Conclusion:We propose that NLR and PLR are not only effective blood markers for predicting therapeutic responses to chemo-and/or immuno-therapy,but also useful in detecting survival in diverse malignancies.
基金supported by the Natural Science Foundation of Jiangsu Province(BE2021623,BK20220155)Natural Science Foundation of Jiangsu Province(BE2021623)+4 种基金National Natural Science Foundation of China(32001665,U1903205,32021005)the National Key Research and Development Program of China(2017YF0400303)the Key Scientific and Technological Research Projects in the Key Areas of the Xinjiang Production and Construction Corps(2018AB010)the Key Research and Development 303 Program of Ningxia(2020BFG02012)Collaborative Innovation Center of Food Safety and Quality Control in Jiangsu Province。
文摘Heparin,a glycosaminoglycan,is a stable source of carbon that supports the growth of microorganisms in the human intestine.It is also a commonly used anticoagulant drug in clinical practice,with significant therapeutic effects.Low molecular weight heparin(LMWH)is a highly active low molecular weight fragment obtained via enzymatic reaction or the chemical degradation of heparin.LMWH has been applied globally in the prevention and treatment of venous thromboembolism in thrombosis patients.Simultaneously,as a potential prebiotic,because of its low molecular weight,LMWH can be well degraded by the gut microbiota to maintain intestinal balance.Enzymatic heparin degradation has recently emerged as a viable disposal method for LMWH preparation;however,only very few benchmark enzymes have been thoroughly described and subjected to protein engineering to improve their properties over the past few years.The commercialization of enzymes will require the development of robustly engineered enzymes that meet the demands of industrial processes.Herein,we report a rational protein engineering strategy that includes molecular dynamic simulations of flexible amino acid mutations and disulfide bond screening.Several Bacteroides thetaiotaomicron heparanase I(Bt-HepI)mutants were obtained and screened for high thermal stability.We obtained the Bt-HepI^(D204C/K208C/H189W/Q198R)variant,which features a stabilized protein surface structure,with a 1.3-fold increase in catalytic constant/michaelis-menten constant(k_(cat)/K_(m)),a 2.44-fold increase in thermal stability at 50℃,and a 1.8-fold decrease in the average molecular weight of LMWH produced at 40℃compared with that seen with Bt-HepI^(WT).Our study establishes a strategy to engineer thermostable HepI to underpin its industrial applications.
文摘Objective:To analyze the positive impact of pharmaceutical care in the ophthalmology perioperative period on the rational use of antibiotics.Methods:A total of 115 patients who underwent ophthalmological surgery between March and June 2023 were selected as the control group,receiving routine medication management.Another 115 patients who underwent ophthalmological surgery between July and October 2023 were selected as the observation group,receiving pharmaceutical care.The rationality of medication use,mastery of medication knowledge,medication compliance,and adverse reaction rates were compared between the two groups.Results:The observation group had higher rationality of medication use,higher scores for mastery of medication knowledge,higher medication compliance,and a lower adverse reaction rate compared to the control group(P<0.05).Conclusion:The combination of antibiotic therapy and pharmaceutical care in the ophthalmology perioperative period can improve the rationality of medication use,enhance patients’mastery of medication knowledge,increase their medication compliance,and prevent adverse reactions to antibiotics.
