N-kink soliton and high-order synchronized breather solutions for potential Kadomtsev-Petviashvili equation are derived by means of the Hirota bilinear method,and the limit process of high-order synchronized breathers...N-kink soliton and high-order synchronized breather solutions for potential Kadomtsev-Petviashvili equation are derived by means of the Hirota bilinear method,and the limit process of high-order synchronized breathers are shown.Furthermore,M-lump solutions are also presented by taking the long wave limit.Additionally,a family of semi-rational solutions with elastic collision are generated by taking a long-wave limit of only a part of exponential functions,their interaction behaviors are shown by three-dimensional plots and contour plots.展开更多
The Hirota equation can be used to describe the wave propagation of an ultrashort optical field.In this paper,the multi-component Hirota(alias n-Hirota,i.e.n-component third-order nonlinear Schrodinger)equations with ...The Hirota equation can be used to describe the wave propagation of an ultrashort optical field.In this paper,the multi-component Hirota(alias n-Hirota,i.e.n-component third-order nonlinear Schrodinger)equations with mixed non-zero and zero boundary conditions are explored.We employ the multiple roots of the characteristic polynomial related to the Lax pair and modified Darboux transform to find vector semi-rational rogon-soliton solutions(i.e.nonlinear combinations of rogon and soliton solutions).The semi-rational rogon-soliton features can be modulated by the polynomial degree.For the larger solution parameters,the first m(m<n)components with non-zero backgrounds can be decomposed into rational rogons and grey-like solitons,and the last n-m components with zero backgrounds can approach bright-like solitons.Moreover,we analyze the accelerations and curvatures of the quasi-characteristic curves,as well as the variations of accelerations with the distances to judge the interaction intensities between rogons and grey-like solitons.We also find the semi-rational rogon-soliton solutions with ultrahigh amplitudes.In particular,we can also deduce vector semi-rational solitons of the ncomponent complex mKdV equation.These results will be useful to further study the related nonlinear wave phenomena of multi-component physical models with mixed background,and even design the related physical experiments.展开更多
Optical fibers are seen in the optical sensing and optical fiber communication. Simultaneous propagation of optical pulses in an inhomogeneous optical fiber is described by a coupled time-dependent coefficient fourth-...Optical fibers are seen in the optical sensing and optical fiber communication. Simultaneous propagation of optical pulses in an inhomogeneous optical fiber is described by a coupled time-dependent coefficient fourth-order nonlinear Schr?dinger system, which is discussed in this paper. For such a system, we work out the Lax pair, Darboux transformation, and corresponding vector semi-rational nonautonomous rogue wave solutions. When the group velocity dispersion(GVD) and fourth-order dispersion(FOD) coefficients are the constants, we exhibit the first-and second-order vector semirational rogue waves which are composed of the four-petalled rogue waves and eye-shaped breathers. Both the width of the rogue wave along the time axis and temporal separation between the adjacent peaks of the breather decrease with the GVD coefficient or FOD coefficient. With the GVD and FOD coefficients as the linear, cosine, and exponential functions, we respectively present the first-and second-order periodic vector semi-rational rogue waves, first-and second-order asymmetry vector semi-rational rogue waves, and interactions between the eye-shaped breathers and the composite rogue waves.展开更多
为改善永磁丝杠复杂的螺旋形磁极加工制造难度,对螺旋磁极结构进行改进替代。应用有限元法(Finite Element Method,FEM)对推力和转矩静特性进行仿真,证明丝杠磁极为斜环、螺母磁极为螺旋结构和丝杠磁极为螺旋结构、螺母磁极为斜环的两...为改善永磁丝杠复杂的螺旋形磁极加工制造难度,对螺旋磁极结构进行改进替代。应用有限元法(Finite Element Method,FEM)对推力和转矩静特性进行仿真,证明丝杠磁极为斜环、螺母磁极为螺旋结构和丝杠磁极为螺旋结构、螺母磁极为斜环的两种永磁丝杠结构能够实现平稳传动。由于结构中仍部分存在螺旋结构,故进行实用化改进。方案一是将直环离散的若干圆弧形磁极块阶梯式组合排列;方案二是采用半斜环磁极组合结构。结果表明,后者组合磁极块数更少,在保证运动系统平稳传动的同时,具有更大的推力和转矩。同双螺旋永磁丝杠相比,推力误差和转矩误差仅分别为3.981%和0.583%,故而为替代螺旋磁极的一种较为理想的方案。此外,提出了极距比K的概念,得出K=0.3时,单位磁极产生的电磁推力和转矩最大,磁极利用率最高。在此基础上,将半斜环磁极结构采用Halbach阵列优化,峰值推力和转矩可分别提升42.3%和36.3%,且存在最优辅配比λ=0.4。展开更多
Objectives: As therapeutic modalities for rheumatoid arthritis (RA) advance, immediate and quantitative determination of RA disease status is becoming increasingly important. The purpose of this study was to validate ...Objectives: As therapeutic modalities for rheumatoid arthritis (RA) advance, immediate and quantitative determination of RA disease status is becoming increasingly important. The purpose of this study was to validate the usefulness of a ring gauge as a simple semiquantitative method for assessing hand swelling in patients with RA. Methods: We enrolled patients diagnosed with RA either initiated or switched to a biological therapeutic agent. The circumference of the interphalangeal (IP) joint and the proximal interphalangeal (PIP) joint was measured using a ring gauge. Assessments of the joint echocardiography, incorporating both Gray Scale (GS) and Power Doppler (PD) imaging, were conducted. These evaluations were performed both before the initiation of biological agent treatment and 28 days after the initial dose. Results: Following the treatment intervention, a significant reduction was observed in the circumference of the joint from the thumb to the little finger (p Conclusions: Our study demonstrated the effectiveness of using a ring gauge as a simple assessment tool for RA, revealing that a change in the ring gauge number by 2 or more corresponded to either improvement or deterioration in synovial thickening detected via joint echocardiography.展开更多
Hydroxysalidroside is an important natural phenylethanoid glycoside with broad application prospects in the food and pharmaceutical fields.However,its low concentration in plants and complex extraction hinder its prod...Hydroxysalidroside is an important natural phenylethanoid glycoside with broad application prospects in the food and pharmaceutical fields.However,its low concentration in plants and complex extraction hinder its production.Despite being a promising way to synthesize hydroxysalidroside in Escherichia coli,glycosylation remains the limiting factor for its production.A de novo biosynthetic pathway for hydroxysalidroside was successfully constructed in E.coli via the screening of glycosyltransferase,overexpressing phosphoglucomutase(pgm)and UDP-glucose pyrophosphorylase(galU)to ensure a sufficient supply of UDP-glucose(UDPG).Additionally,a semi-rational design of UGT85A1 was conducted to expand the acceptor-binding pocket to eliminate steric hindrance interfering with the binding of hydroxytyrosol.The endogenous genes ushA and otsA were knocked out to further reduce the consumption of UDPG.Finally,a titer of 5837.2 mg/L was achieved in a 5 L fermenter by optimizing the feeding times of carbon sources.This laid the foundation for the subsequent biosynthesis of phenylethanoid glycosides.展开更多
基金supported by the NSF of China under Grant No.12001377,Grant No.11671219 and Grant No.12071304.
文摘N-kink soliton and high-order synchronized breather solutions for potential Kadomtsev-Petviashvili equation are derived by means of the Hirota bilinear method,and the limit process of high-order synchronized breathers are shown.Furthermore,M-lump solutions are also presented by taking the long wave limit.Additionally,a family of semi-rational solutions with elastic collision are generated by taking a long-wave limit of only a part of exponential functions,their interaction behaviors are shown by three-dimensional plots and contour plots.
基金supported by the National Natural Science Foundation of China(Nos.11925108 and 11731014)
文摘The Hirota equation can be used to describe the wave propagation of an ultrashort optical field.In this paper,the multi-component Hirota(alias n-Hirota,i.e.n-component third-order nonlinear Schrodinger)equations with mixed non-zero and zero boundary conditions are explored.We employ the multiple roots of the characteristic polynomial related to the Lax pair and modified Darboux transform to find vector semi-rational rogon-soliton solutions(i.e.nonlinear combinations of rogon and soliton solutions).The semi-rational rogon-soliton features can be modulated by the polynomial degree.For the larger solution parameters,the first m(m<n)components with non-zero backgrounds can be decomposed into rational rogons and grey-like solitons,and the last n-m components with zero backgrounds can approach bright-like solitons.Moreover,we analyze the accelerations and curvatures of the quasi-characteristic curves,as well as the variations of accelerations with the distances to judge the interaction intensities between rogons and grey-like solitons.We also find the semi-rational rogon-soliton solutions with ultrahigh amplitudes.In particular,we can also deduce vector semi-rational solitons of the ncomponent complex mKdV equation.These results will be useful to further study the related nonlinear wave phenomena of multi-component physical models with mixed background,and even design the related physical experiments.
基金Project supported by the BUPT Excellent Ph.D.Students Foundation(Grant No.CX2019201)the National Natural Science Foundation of China(Grant Nos.11772017 and 11805020)+1 种基金the Fund of State Key Laboratory of Information Photonics and Optical Communications(Beijing University of Posts and Telecommunications),China(Grant No.IPOC:2017ZZ05)the Fundamental Research Funds for the Central Universities of China(Grant No.2011BUPTYB02)。
文摘Optical fibers are seen in the optical sensing and optical fiber communication. Simultaneous propagation of optical pulses in an inhomogeneous optical fiber is described by a coupled time-dependent coefficient fourth-order nonlinear Schr?dinger system, which is discussed in this paper. For such a system, we work out the Lax pair, Darboux transformation, and corresponding vector semi-rational nonautonomous rogue wave solutions. When the group velocity dispersion(GVD) and fourth-order dispersion(FOD) coefficients are the constants, we exhibit the first-and second-order vector semirational rogue waves which are composed of the four-petalled rogue waves and eye-shaped breathers. Both the width of the rogue wave along the time axis and temporal separation between the adjacent peaks of the breather decrease with the GVD coefficient or FOD coefficient. With the GVD and FOD coefficients as the linear, cosine, and exponential functions, we respectively present the first-and second-order periodic vector semi-rational rogue waves, first-and second-order asymmetry vector semi-rational rogue waves, and interactions between the eye-shaped breathers and the composite rogue waves.
文摘为改善永磁丝杠复杂的螺旋形磁极加工制造难度,对螺旋磁极结构进行改进替代。应用有限元法(Finite Element Method,FEM)对推力和转矩静特性进行仿真,证明丝杠磁极为斜环、螺母磁极为螺旋结构和丝杠磁极为螺旋结构、螺母磁极为斜环的两种永磁丝杠结构能够实现平稳传动。由于结构中仍部分存在螺旋结构,故进行实用化改进。方案一是将直环离散的若干圆弧形磁极块阶梯式组合排列;方案二是采用半斜环磁极组合结构。结果表明,后者组合磁极块数更少,在保证运动系统平稳传动的同时,具有更大的推力和转矩。同双螺旋永磁丝杠相比,推力误差和转矩误差仅分别为3.981%和0.583%,故而为替代螺旋磁极的一种较为理想的方案。此外,提出了极距比K的概念,得出K=0.3时,单位磁极产生的电磁推力和转矩最大,磁极利用率最高。在此基础上,将半斜环磁极结构采用Halbach阵列优化,峰值推力和转矩可分别提升42.3%和36.3%,且存在最优辅配比λ=0.4。
文摘Objectives: As therapeutic modalities for rheumatoid arthritis (RA) advance, immediate and quantitative determination of RA disease status is becoming increasingly important. The purpose of this study was to validate the usefulness of a ring gauge as a simple semiquantitative method for assessing hand swelling in patients with RA. Methods: We enrolled patients diagnosed with RA either initiated or switched to a biological therapeutic agent. The circumference of the interphalangeal (IP) joint and the proximal interphalangeal (PIP) joint was measured using a ring gauge. Assessments of the joint echocardiography, incorporating both Gray Scale (GS) and Power Doppler (PD) imaging, were conducted. These evaluations were performed both before the initiation of biological agent treatment and 28 days after the initial dose. Results: Following the treatment intervention, a significant reduction was observed in the circumference of the joint from the thumb to the little finger (p Conclusions: Our study demonstrated the effectiveness of using a ring gauge as a simple assessment tool for RA, revealing that a change in the ring gauge number by 2 or more corresponded to either improvement or deterioration in synovial thickening detected via joint echocardiography.
基金supported by the National Key Research and Development Program of China(2022YFC2106100)the Foundation for Innovative Research Groups of the National Natural Science Foundation of China(32021005).
文摘Hydroxysalidroside is an important natural phenylethanoid glycoside with broad application prospects in the food and pharmaceutical fields.However,its low concentration in plants and complex extraction hinder its production.Despite being a promising way to synthesize hydroxysalidroside in Escherichia coli,glycosylation remains the limiting factor for its production.A de novo biosynthetic pathway for hydroxysalidroside was successfully constructed in E.coli via the screening of glycosyltransferase,overexpressing phosphoglucomutase(pgm)and UDP-glucose pyrophosphorylase(galU)to ensure a sufficient supply of UDP-glucose(UDPG).Additionally,a semi-rational design of UGT85A1 was conducted to expand the acceptor-binding pocket to eliminate steric hindrance interfering with the binding of hydroxytyrosol.The endogenous genes ushA and otsA were knocked out to further reduce the consumption of UDPG.Finally,a titer of 5837.2 mg/L was achieved in a 5 L fermenter by optimizing the feeding times of carbon sources.This laid the foundation for the subsequent biosynthesis of phenylethanoid glycosides.
