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Well-Posedness for a New Two-Component Integrable System
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作者 Qiong LONG Chunlai MU +1 位作者 Pan ZHENG Shouming ZHOU 《Journal of Mathematical Research with Applications》 CSCD 2014年第3期349-361,共13页
In this paper, we consider a new two-component integrable system with cubic nonlinearity, which can be deduced by a curve flow and it is integrable with its Lax pair, bi- Hamiltonian structure, and infinitely many con... In this paper, we consider a new two-component integrable system with cubic nonlinearity, which can be deduced by a curve flow and it is integrable with its Lax pair, bi- Hamiltonian structure, and infinitely many conservation laws. We mainly establish the local well-posedness of this system in a range of the Besov spaces B p,r ^s with s〉max {2+1/p,5/2}. 展开更多
关键词 Besov space two-component integrable system local well-posedness.
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Investigation into the Effect and Microscopic Mechanism of Retarders on Two-component Backfilling Grout in Shield Engineering
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作者 CAI Hongwei MIN Fanlu +5 位作者 YUAN Rui LI Zhen ZHANG Jianfeng WANG Dengfeng ZHANG Yazhou YAO Zhanhu 《Journal of Wuhan University of Technology(Materials Science)》 2026年第1期84-95,共12页
To address the issues of short setting time and high bleeding rate of A component,which easily cause pipe plugging and poor grouting performance when a two-component grout is injected synchronously behind the Segmenta... To address the issues of short setting time and high bleeding rate of A component,which easily cause pipe plugging and poor grouting performance when a two-component grout is injected synchronously behind the Segmental Lining,the inorganic retarder sodium pyrophosphate(TSPP)and three organic retarders were added to the A component:sodium citrate(SC),sodium tartrate(ST)and glycerol(GLY).The effect law and microscopic mechanism of viscosity,bleeding rate,setting time,gelling time,compressive strength,and stone rate were investigated.The results revealed that the addition of retarders could enhance the stability and setting time of the A component and increase the gelling time,stone rate,and compressive strength of two-component grout.Among them,the performance of the grout with an SC dosage of 0.1% was superior.The bleeding rate of this grout was reduced to 3.5%,the stone rate of the two-component grout was more than 99%,and the early compressive strength and late compressive strength of this grout were increased by approximately 35% and 7%,respectively.The initial and final setting time of the A component with a TSPP dosage of 0.3% was the longest,which was prolonged to 17 and 26 h,respectively.Microscopic analysis revealed that the four retarders hindered the hydration process of cement through complexation and adsorption,and inhibited the hydration of C_(3)S and the crystallisation of CH.Moreover,they reduced the defects caused by the rapid reaction of water glass and CH on the solid phase structure,enabled the microstructure of the stone body to be denser,and subsequently,enhanced the compressive strength. 展开更多
关键词 backfilling grout two-component grout RETARDER working performance gelling performance microscopic mechanism
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Nonisospectral Botie-Pempinelli-Tu hierarchy and its integrable coupling
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作者 WANG Hai-feng ZHANG Yu-feng 《Applied Mathematics(A Journal of Chinese Universities)》 2026年第1期21-29,共9页
An efficient scheme is applied to generate a nonisospectral Botie-Pempinelli-Tu(BPT)integrable hierarchy under the case whereλ_(t)=n∑j=0 k_(j)(t)λ^(-j).Based on an expanding higherdimensional Lie algebra,we obtain ... An efficient scheme is applied to generate a nonisospectral Botie-Pempinelli-Tu(BPT)integrable hierarchy under the case whereλ_(t)=n∑j=0 k_(j)(t)λ^(-j).Based on an expanding higherdimensional Lie algebra,we obtain a nonisospectral BPT integrable coupling hieararchy.It follws that some new nonisospectral nonlinear systems are obtained by reducing these two nonisospectral BPT hierarchies.Actually,these nonisospectral integrable models that we obtained can enrich the existing integrable models and possibly describe new nonlinear phenomena. 展开更多
关键词 nonisospectral BPT hierarchy Lie algebra SYMMETRY integrable coupling
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Reduced matrix integrable hierarchies via group reduction involving off-diagonal block matrices
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作者 Wen-Xiu Ma 《Communications in Theoretical Physics》 2026年第1期1-8,共8页
This paper proposes an innovative form of group reduction or similarity transformation involving off-diagonal block matrices. The proposed method is applied to the Ablowitz-Kaup-Newell-Segur(AKNS) matrix spectral prob... This paper proposes an innovative form of group reduction or similarity transformation involving off-diagonal block matrices. The proposed method is applied to the Ablowitz-Kaup-Newell-Segur(AKNS) matrix spectral problem, leading to the generation of reduced matrix AKNS integrable hierarchies. As a result, a variety of reduced multiple-component integrable nonlinear Schr??dinger and modified Korteweg-de Vries models are derived from the analysis of the reduced AKNS matrix spectral problem. 展开更多
关键词 Lax pair integrable model zero-curvature equation soliton hierarchy group reduction
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Geometric perspective of reciprocal transformations induced by conservation laws in integrable systems
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作者 Faren Wang Senyue Lou Man Jia 《Communications in Theoretical Physics》 2026年第2期1-8,共8页
This paper presents a geometric perspective that connects reciprocal transformations with multidimensional integrable deformations.By interpreting conservation laws as closed 1-forms,we formalize reciprocal transforma... This paper presents a geometric perspective that connects reciprocal transformations with multidimensional integrable deformations.By interpreting conservation laws as closed 1-forms,we formalize reciprocal transformations as induced local diffeomorphisms on the jet bundle.This allows us to characterize higher-dimensional deformations as systematic fiber bundle extensions,where fiber coordinates are generated by potential functions of the conservation laws.This perspective provides an interpretation for the covariant lifting of Lax pairs to higher dimensions and reveals that auto-Backlund transformations are composite diffeomorphisms.These results are applied to several classical integrable models. 展开更多
关键词 integrable systems reciprocal transformation conservation laws fiber bundle Lax pairs Backlund transformation
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Integration板块的整合困境、价值再认与教学实践
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作者 孙玲 王青 叶超 《教育视界》 2026年第3期4-9,共6页
针对当前初中英语Integration板块教学中存在的理念跨越、设计重构、实践转向等现实困境,从单元整体教学的视角出发,重新定位其教学功能。在此基础上,基于学习活动观,探索构建以“体验—探究—整合—迁移”为主要环节的EDSA深度学习模式... 针对当前初中英语Integration板块教学中存在的理念跨越、设计重构、实践转向等现实困境,从单元整体教学的视角出发,重新定位其教学功能。在此基础上,基于学习活动观,探索构建以“体验—探究—整合—迁移”为主要环节的EDSA深度学习模式,并结合教学案例,系统阐述该模型在Integration板块教学中的应用路径,以期提升Integration板块的教学效能,推动教师实现从“知识传授”向“素养培育”的教学转型。 展开更多
关键词 初中英语 integration板块 教学困境 功能重构 实践路径
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Geometric Integrability of Two-Component Camassa-Holm and Hunter-Saxton Systems 被引量:1
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作者 宋军锋 屈长征 《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第6期955-959,共5页
It is shown that the two-component Camassa-Holm and Hunter-Saxton systems are geometrically integrable, namely they describe pseudo-spherical surfaces. As a consequence, their infinite number of conservation laws are ... It is shown that the two-component Camassa-Holm and Hunter-Saxton systems are geometrically integrable, namely they describe pseudo-spherical surfaces. As a consequence, their infinite number of conservation laws are directly constructed. In addition, a class of nonlocal symmetries depending on the pseudo-potentials are obtained. 展开更多
关键词 geometric integrability two-component Camassa-Holm system two-component Hunter-Saxtonsystem pseudo-spherical surface
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Multi-component decompositions,linear superpositions,and new nonlinear integrable coupled KdV-type systems
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作者 Xiazhi Hao S Y Lou 《Communications in Theoretical Physics》 2025年第2期1-12,共12页
In the realm of nonlinear integrable systems,the presence of decompositions facilitates the establishment of linear superposition solutions and the derivation of novel coupled systems exhibiting nonlinear integrabilit... In the realm of nonlinear integrable systems,the presence of decompositions facilitates the establishment of linear superposition solutions and the derivation of novel coupled systems exhibiting nonlinear integrability.By focusing on single-component decompositions within the potential BKP hierarchy,it has been observed that specific linear superpositions of decomposition solutions remain consistent with the underlying equations.Moreover,through the implementation of multi-component decompositions within the potential BKP hierarchy,successful endeavors have been undertaken to formulate linear superposition solutions and novel coupled Kd V-type systems that resist decoupling via alterations in dependent variables. 展开更多
关键词 integrable system single-component decomposition multi-component decomposition linear superposition integrable coupled KdV-type system
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Flexible Monolithic 3D-Integrated Self-Powered Tactile Sensing Array Based on Holey MXene Paste 被引量:1
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作者 Mengjie Wang Chen Chen +9 位作者 Yuhang Zhang Yanan Ma Li Xu Dan‑Dan Wu Bowen Gao Aoyun Song Li Wen Yongfa Cheng Siliang Wang Yang Yue 《Nano-Micro Letters》 2026年第2期772-785,共14页
Flexible electronics face critical challenges in achieving monolithic three-dimensional(3D)integration,including material compatibility,structural stability,and scalable fabrication methods.Inspired by the tactile sen... Flexible electronics face critical challenges in achieving monolithic three-dimensional(3D)integration,including material compatibility,structural stability,and scalable fabrication methods.Inspired by the tactile sensing mechanism of the human skin,we have developed a flexible monolithic 3D-integrated tactile sensing system based on a holey MXene paste,where each vertical one-body unit simultaneously functions as a microsupercapacitor and pressure sensor.The in-plane mesopores of MXene significantly improve ion accessibility,mitigate the self-stacking of nanosheets,and allow the holey MXene to multifunctionally act as a sensing material,an active electrode,and a conductive interconnect,thus drastically reducing the interface mismatch and enhancing the mechanical robustness.Furthermore,we fabricate a large-scale device using a blade-coating and stamping method,which demonstrates excellent mechanical flexibility,low-power consumption,rapid response,and stable long-term operation.As a proof-of-concept application,we integrate our sensing array into a smart access control system,leveraging deep learning to accurately identify users based on their unique pressing behaviors.This study provides a promising approach for designing highly integrated,intelligent,and flexible electronic systems for advanced human-computer interactions and personalized electronics. 展开更多
关键词 Holey MXene Microsupercapacitor Tactile sensor Monolithic 3D integration Deep learning algorithm
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Constructing an integrable spin–boson model with open boundary conditions
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作者 Hongjia Yao Kun Hao 《Communications in Theoretical Physics》 2025年第5期31-36,共6页
We investigate the integrability of the Rabi model,which is traditionally viewed as not Yang–Baxter-integrable despite its solvability.Building on efforts by Bogoliubov and Kulish(2013 J.Math.Sci.19214–30),Amico et ... We investigate the integrability of the Rabi model,which is traditionally viewed as not Yang–Baxter-integrable despite its solvability.Building on efforts by Bogoliubov and Kulish(2013 J.Math.Sci.19214–30),Amico et al(2007 Nucl.Phys.B 787283–300),and Batchelor and Zhou(2015 Phys.Rev.A 91053808),who explored special limiting cases of the model,we develop a spin–boson interaction Hamiltonian under more general boundary conditions,particularly focusing on open boundary conditions with off-diagonal terms.Our approach maintains the direction of the spin in the z direction and also preserves the boson particle number operator a^(†)a,marking a progression beyond previous efforts that have primarily explored reduced forms of the Rabi model from Yang–Baxter algebra.We also address the presence of‘unwanted’quadratic boson terms a^(2) and a^(†2),which share coefficients with the boson particle number operator.Interestingly,these terms vanish when spectral parameter u=±θ_(s),simplifying the model to a limiting case of operator-valued twists,a scenario previously discussed by Batchelor and Zhou(2015 Phys.Rev.A 91053808). 展开更多
关键词 Bethe ansatz quantum integrable models open boundary conditions spin-boson interactions
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Estimates for p-adic fractional integral operator with rough kernels on grand p-adic Herz-type spaces
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作者 XIA Xiaoxi ZHOU Jiang 《中山大学学报(自然科学版)(中英文)》 北大核心 2026年第2期153-159,共7页
The goal of this paper is to establish the boundedness of the p-adic fractional integral operator with rough kernel I_(β,Ω′)^(p)and its commutators generated by b∈Λ_(γ)(Q_(p)^(n))(0<γ<1)and the I_(β,Ω′... The goal of this paper is to establish the boundedness of the p-adic fractional integral operator with rough kernel I_(β,Ω′)^(p)and its commutators generated by b∈Λ_(γ)(Q_(p)^(n))(0<γ<1)and the I_(β,Ω′)^(p) on grand p-adic Herz spaces. 展开更多
关键词 Lipschitz spaces grand p-adic Herz spaces p-adic fractional integral operator COMMUTATORS
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欢迎订阅2026年Chinese Journal of Integrative Medicine
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《中国中西医结合杂志》 北大核心 2026年第2期207-207,共1页
Chinese Journal of Integrative Medicine《中国结合医学杂志》是由中国中西医结合学会、中国中医科学院主办的国际性学术期刊,旨在促进结合医学及替代医学的国际交流,及时发表结合医学或替代医学领域的最新进展、趋势以及临床实践、... Chinese Journal of Integrative Medicine《中国结合医学杂志》是由中国中西医结合学会、中国中医科学院主办的国际性学术期刊,旨在促进结合医学及替代医学的国际交流,及时发表结合医学或替代医学领域的最新进展、趋势以及临床实践、科学研究、教育、保健方面经验和成果的科学论文。1995年创刊,由中国科学院院士陈可冀担任主编。设有述评、专题笔谈、论著、临床经验、病例报道、综述、药物相互作用、法规指南、学术探讨、思路与方法、跨学科知识、会议纪要、书评、读者来信等栏目。 展开更多
关键词 Chinese Journal of integrative Medicine
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High performance multifunction integrated optic circuits base on thin-film lithium niobate
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作者 QU Bai-Ang GUO Hong-Jie +4 位作者 YANG Yong-Kang CHEN Wen-Bin ZHANG Xue-Chen GUO Wen-Tao TAN Man-Qing 《红外与毫米波学报》 北大核心 2026年第1期30-35,共6页
This paper introduces an innovative Multifunction Integrated Optic Circuit(MIOC)design utilizing thin-film lithium niobate,surpassing traditional bulk waveguide-based MIOCs in terms of size,half-wave voltage requireme... This paper introduces an innovative Multifunction Integrated Optic Circuit(MIOC)design utilizing thin-film lithium niobate,surpassing traditional bulk waveguide-based MIOCs in terms of size,half-wave voltage requirements,and integration capabilities.By implementing a sub-wavelength grating structure,we achieve a Po⁃larization Extinction Ratio(PER)exceeding 29 dB.Furthermore,our electrode design facilitates a voltage-length product(V_(π)L)below 2 V·cm,while a double-tapered coupling structure significantly reduces insertion loss.This advancement provides a pivotal direction for the miniaturization and integration of optical gyroscopes,marking a substantial contribution to the field. 展开更多
关键词 multifunction integrated optic circui(t MIOC) thin-film lithium niobate sub-wavelength grating polarization extinction ratio
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Optimal bounds for complete elliptic integral of the second kind from means
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作者 LI Na SHI Yongguo 《纯粹数学与应用数学》 2026年第1期197-206,共10页
In this paper,we give the double inequalities of a special quasi-arithmetic mean E(a,b)and the Seifert-like elliptic integral mean V(a,b)under the combination of generalized Heronian mean Hw(a,b),harmonic mean H(a,b)a... In this paper,we give the double inequalities of a special quasi-arithmetic mean E(a,b)and the Seifert-like elliptic integral mean V(a,b)under the combination of generalized Heronian mean Hw(a,b),harmonic mean H(a,b)and arithmetic mean A(a,b).As applications,we obtain two new optimal bounds for the second kind of complete elliptic integral".Finally,numerical experiments are performed to compare these with some known bounds of",and the improved effect is verified. 展开更多
关键词 MEANS COMPLETE ELLIPTIC integral INEQUALITY
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Analysis of Ningxia’s Tourism Culture and Ethnic Exchange,Communication and Integration
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作者 SHI Ruiqing 《Cultural and Religious Studies》 2026年第1期78-82,共5页
Ningxia is an ethnic gathering area boasting abundant tourism and cultural resources.Developing the cause of tourism and culture is an important way to encourage all ethnic groups to respect differences,embrace divers... Ningxia is an ethnic gathering area boasting abundant tourism and cultural resources.Developing the cause of tourism and culture is an important way to encourage all ethnic groups to respect differences,embrace diversity,and demonstrate their interactions,exchanges,and integration in tourism activities.As an important preserve of the distinctive cultures of the Chinese nation and a prominent world tourist destination,Ningxia should strive to foster and consolidate the sense of a community with a shared future for the Chinese nation in developing its tourism and culture under the new historical conditions.It is imperative to advance the prosperity and development of tourism and culture in boosting ethnic interactions,exchanges,and integration through the formulation of tourism and cultural policies and plans,as well as the development and design of tourism and cultural projects. 展开更多
关键词 Ningxia tourism culture EXCHANGE communication and integration
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Innovating Talent Cultivation Through Industry-Education Integration and AI:A Case Study of the“Program Comprehension and Analysis”Course
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作者 Tiantian Wang Xiaohong Su +1 位作者 Yuan Jiang Liyan Song 《计算机教育》 2026年第3期74-80,共7页
This paper investigates the teaching reform of the Program Comprehension and Analysis course in the context of industry-education integration and AI empowerment.To align with the evolving needs of the software industr... This paper investigates the teaching reform of the Program Comprehension and Analysis course in the context of industry-education integration and AI empowerment.To align with the evolving needs of the software industry,the course content has been updated to incorporate AI techniques such as large language models and deep learning.The reform enriches educational resources and introduces innovative instructional approaches.In addition,high-quality practical teaching cases have been developed,and immersive,hands-on learning experiences have been designed based on industrial platforms and real-world applications.These initiatives aim to enhance the practical skills and innovative thinking of professional degree graduate students,fostering high-caliber talent that aligns with industry demands.A survey of 90 graduate students revealed high levels of satisfaction regarding course content,teaching methodology,and skill development.The reform has proven effective in cultivating interdisciplinary professionals with solid foundations in software engineering and AI-driven innovation. 展开更多
关键词 Industry-education integration AI empowerment Project-driven Case studies
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Recurrent MAPPO for Joint UAV Trajectory and Traffic Offloading in Space-Air-Ground Integrated Networks
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作者 Zheyuan Jia Fenglin Jin +1 位作者 Jun Xie Yuan He 《Computers, Materials & Continua》 2026年第1期447-461,共15页
This paper investigates the traffic offloading optimization challenge in Space-Air-Ground Integrated Networks(SAGIN)through a novel Recursive Multi-Agent Proximal Policy Optimization(RMAPPO)algorithm.The exponential g... This paper investigates the traffic offloading optimization challenge in Space-Air-Ground Integrated Networks(SAGIN)through a novel Recursive Multi-Agent Proximal Policy Optimization(RMAPPO)algorithm.The exponential growth of mobile devices and data traffic has substantially increased network congestion,particularly in urban areas and regions with limited terrestrial infrastructure.Our approach jointly optimizes unmanned aerial vehicle(UAV)trajectories and satellite-assisted offloading strategies to simultaneously maximize data throughput,minimize energy consumption,and maintain equitable resource distribution.The proposed RMAPPO framework incorporates recurrent neural networks(RNNs)to model temporal dependencies in UAV mobility patterns and utilizes a decentralized multi-agent reinforcement learning architecture to reduce communication overhead while improving system robustness.The proposed RMAPPO algorithm was evaluated through simulation experiments,with the results indicating that it significantly enhances the cumulative traffic offloading rate of nodes and reduces the energy consumption of UAVs. 展开更多
关键词 Space-air-ground integrated networks UAV traffic offloading reinforcement learning
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On the Evolutionary Logic of Chinese Culture’s Integration Into Foreign Language Education in China:A Bibliometric Study of CSSCI Source Journals(1980-2025)
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作者 ZOU Yanqun 《Sino-US English Teaching》 2026年第1期1-9,共9页
This paper undertakes a systematic combing of the development of research on integrating Chinese culture into foreign language education in China from the 1980s to 2025,dividing it into three stages:cultural attachmen... This paper undertakes a systematic combing of the development of research on integrating Chinese culture into foreign language education in China from the 1980s to 2025,dividing it into three stages:cultural attachment,cultural compensation,and cultural symbiosis,and reveals the logical shift of the research from the dominance of target language culture to the construction of the subjectivity of Chinese culture.Through quantitative and qualitative analysis of 435 CSSCI papers,three core themes are extracted:what to integrate,why to integrate,and how to integrate.This paper critically analyzes three pairs of contradictions:the imbalance between instrumentality and humanism,the separation of national narrative and individual expression,and the disconnection between traditional inheritance and modern transformation.It is proposed that future research should reconstruct the educational logic based on the Chinese context,integrate the national and individual dimensions,and build a dialogue mechanism between tradition and modernity,so as to provide theoretical and practical reference for the construction of a foreign language education system with Chinese characteristics. 展开更多
关键词 Chinese culture foreign language education cultural integration
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Intelligent integration and advancement of multi-organ-on-a-chip
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作者 Chen-Xi Song Lu Huang 《Biomedical Engineering Communications》 2026年第1期1-3,共3页
Multi-organ-on-a-chip(MOOC)technology represents a pivotal direction in the organ-on-a-chip field,seeking to emulate the complex interactions of multiple human organs in vitro through microfluidic systems.This technol... Multi-organ-on-a-chip(MOOC)technology represents a pivotal direction in the organ-on-a-chip field,seeking to emulate the complex interactions of multiple human organs in vitro through microfluidic systems.This technology overcomes the limitations of traditional single-organ models,providing a novel platform for investigating complex disease mechanisms and evaluating drug efficacy and toxicity.Although it demonstrates broad application prospects,its development still faces critical bottlenecks,including inadequate physiological coupling between organs,short functional maintenance durations,and limited real-time monitoring capabilities.Contemporary research is advancing along three key directions,including functional coupling,sensor integration,and full-process automation systems,to propel the technology toward enhanced levels of physiological relevance and predictive accuracy. 展开更多
关键词 investigating complex disease mechanisms emulate complex interactions multiple human organs vitro sensor integration intelligent integration predictive accuracy physiological coupling multi organ chip microfluidic systemsthis
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