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漂浮型和定生型铜藻中色素的液质联用分析 被引量:5
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作者 张恒 赵倩 +5 位作者 陈娟娟 朱旗 吴小凯 骆其君 杨锐 陈海敏 《核农学报》 CAS CSCD 北大核心 2019年第6期1173-1180,共8页
为探究由气候变化、浅海海水污染加剧等因素造成的铜藻爆发性漂浮增殖现象,明确铜藻的漂浮生长机制,采用高效液相色谱-三重四级杆串联质谱(HPLC-QqQ-MS)技术建立11种色素(岩藻黄素、角黄素、玉米黄质、叶黄素、叶绿素a、叶绿素b、α-胡... 为探究由气候变化、浅海海水污染加剧等因素造成的铜藻爆发性漂浮增殖现象,明确铜藻的漂浮生长机制,采用高效液相色谱-三重四级杆串联质谱(HPLC-QqQ-MS)技术建立11种色素(岩藻黄素、角黄素、玉米黄质、叶黄素、叶绿素a、叶绿素b、α-胡萝卜素、β-胡萝卜素、ε-胡萝卜素、γ-胡萝卜素和ζ-胡萝卜素)的定性定量分析方法,分析不同地区、不同生态型及不同部位的铜藻中色素的种类和含量。结果表明,共检测到10种色素,其中东极岛漂浮型铜藻中的叶绿素a、叶绿素b和β-胡萝卜素含量显著高于其他地区,而叶黄素、玉米黄质和岩藻黄素含量最低;定生型铜藻的色素总量是漂浮型铜藻的1.6倍;铜藻气囊中含有大量的叶黄素、岩藻黄素、玉米黄质、叶绿素a和叶绿素b等5种色素。本研究建立了快速、灵敏的液相色谱质谱联用定量分析方法,比较分析了不同铜藻中的10种色素种类和含量分布规律,为铜藻的健康、可控利用研究提供了基础数据支撑。 展开更多
关键词 漂浮型铜藻 定生型铜藻 植物色素 液相色谱-三重四级杆串联质谱(HPLC-QqQ-MS)
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定生型和漂浮型铜藻的形态及超微结构观察
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作者 朱旗 任继锐 +1 位作者 陈娟娟 杨锐 《生物学杂志》 CAS CSCD 北大核心 2019年第3期51-54,共4页
铜藻( Sargassum horneri )是北太平洋西部特有的一种暖温性大型底栖褐藻,在我国沿海呈不连续分布。藻体黄褐色,主要有固着器、茎和叶3个部分,气囊和生殖托顶生或生于叶腋中,有营定生和漂浮生活的两种生态类型铜藻。实验通过比较分析漂... 铜藻( Sargassum horneri )是北太平洋西部特有的一种暖温性大型底栖褐藻,在我国沿海呈不连续分布。藻体黄褐色,主要有固着器、茎和叶3个部分,气囊和生殖托顶生或生于叶腋中,有营定生和漂浮生活的两种生态类型铜藻。实验通过比较分析漂浮型和定生型铜藻在表观、显微和亚显微水平的结构特点,发现漂浮型和定生型铜藻的藻体在表观水平上具有显著差异,而在显微和亚显微水平上两种生态型铜藻无明显差异。漂浮型铜藻较定生型铜藻在表观上显现为分枝节间长度减少,单位长度分枝数和气囊数增加的特点,这可能是在漂浮过程中受外部环境和内部生理共同影响的结果。藻体由外向内分别为表皮、皮层和髓部,细胞大小逐渐变大,色素体(C)和藻泡(Ph)含量依次减少,其中皮层细胞之间存在丰富的胞间连丝(Pla)。 展开更多
关键词 铜藻 漂浮型 定生型 形态 结构
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Microstructure and crystal growth direction of Al-Cu alloy 被引量:1
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作者 陈体军 李向威 +1 位作者 郭海洋 郝远 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2015年第5期1399-1409,共11页
The microstructures and crystal growth directions of permanent mould casting(PMC) and directionally solidified(DS) Al-Cu alloys with different contents of Cu were investigated. Simultaneously, the effects of pouri... The microstructures and crystal growth directions of permanent mould casting(PMC) and directionally solidified(DS) Al-Cu alloys with different contents of Cu were investigated. Simultaneously, the effects of pouring temperature on the microstructure and crystal growth direction of permanent mould casting pure Al were also discussed. The results indicate that the α(Al) crystals in the pure Al do not always keep common columnar grains, but change from the columnar grains to columnar dendrites with developed arms as the pouring temperature rises. The growth direction also varies with the change of pouring temperature. Cu element has similar effects on the microstructures of the PMC and DS casting Al-Cu alloys and the α(Al) crystals gradually change from columnar crystals in turn to columnar dendrites and developed equiaxed dendrites as the Cu content increases. The crystal growth direction in the PMC alloys gradually approaches (110) orientation with increasing Cu content. But the resulting crystals with growth direction of (110) do not belong to feathery grains. There are also no feathery grains to form in all of the DS Al-Cu alloys. 展开更多
关键词 Al-Cu alloy directional solidification crystal growth direction permanent mould casting MICROSTRUCTURE
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Modelling and stability analysis of emergent behavior of scalable swarm system 被引量:5
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作者 CHEN Shi-ming FANG Hua-jing 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2006年第6期952-959,共8页
In this paper we propose a two-layer emergent model for scalable swarm system. The first layer describes the indi-vidual flocking behavior to the local goal position (the center of minimal circumcircle decided by the ... In this paper we propose a two-layer emergent model for scalable swarm system. The first layer describes the indi-vidual flocking behavior to the local goal position (the center of minimal circumcircle decided by the neighbors in the positive visual set of individuals) resulting from the individual motion to one or two farthest neighbors in its positive visual set; the second layer describes the emergent aggregating swarm behavior resulting from the individual motion to its local goal position. The scale of the swarm will not be limited because only local individual information is used for modelling in the two-layer topology. We study the stability properties of the swarm emergent behavior based on Lyapunov stability theory. Simulations showed that the swarm system can converge to goal regions while maintaining cohesiveness. 展开更多
关键词 Two-layer emergent model STABILITY Emergent behavior SWARM
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Remote Sensing of Ecosystem Services:An Opportunity for Spatially Explicit Assessment 被引量:19
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作者 FENG Xiaoming FU Bojie +1 位作者 YANG Xiaojun Lü Yihe 《Chinese Geographical Science》 SCIE CSCD 2010年第6期522-535,共14页
Ecosystem service is an emerging concept that grows to be a hot research area in ecology.Spatially explicit ecosystem service values are important for ecosystem service management.However,it is difficult to quantify e... Ecosystem service is an emerging concept that grows to be a hot research area in ecology.Spatially explicit ecosystem service values are important for ecosystem service management.However,it is difficult to quantify ecosystem services.Remote sensing provides images covering Earth surface,which by nature are spatially explicit.Thus,remote sensing can be useful for quantitative assessment of ecosystem services.This paper reviews spatially explicit ecosystem service studies conducted in ecology and remote sensing in order to find out how remote sensing can be used for ecosystem service assessment.Several important areas considered include land cover,biodiversity,and carbon,water and soil related ecosystem services.We found that remote sensing can be used for ecosystem service assessment in three different ways:direct monitoring,indirect monitoring,and combined use with ecosystem models.Some plant and water related ecosystem services can be directly monitored by remote sensing.Most commonly,remote sensing can provide surrogate information on plant and soil characteristics in an ecosystem.For ecosystem process related ecosystem services,remote sensing can help measure spatially explicit parameters.We conclude that acquiring good in-situ measurements and selecting appropriate remote sensor data in terms of resolution are critical for accurate assessment of ecosystem services. 展开更多
关键词 ecosystem service remote sensing spatially explicit assessment surrogate information
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Multi-Embed Nonlinear Scale-Space for Image Trust Root Generation 被引量:1
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作者 Lizhao Liu Wentu Gao +3 位作者 Jian Liu Huayi Yin Huarong Xu Shunzhi Zhu 《China Communications》 SCIE CSCD 2016年第11期170-179,共10页
An image trust root is a special type of soft trust root for trusted computing. However,image trust root generation is difficult,as it needs a corresponding stable logic feature generation model and algorithm for dyna... An image trust root is a special type of soft trust root for trusted computing. However,image trust root generation is difficult,as it needs a corresponding stable logic feature generation model and algorithm for dynamical and sustained authentication. This paper proposes a basic function of constructing new scale-spaces with deep detecting ability and high stability for image features aimed at image root generation. According to the heat distribution and spreading principle of various kinds of infinitesimal heat sources in the space medium,a multi-embed nonlinear diffusion equation that corresponds to the multi-embed nonlinear scale-space is proposed,a HARRIS-HESSIAN scale-space evaluation operator that aims at the structure acceleration characteristics of a local region and can make use of image pixels' relative spreading movement principle was constructed,then a single-parameter global symmetric proportion(SPGSP) operator was also constructed. An authentication test with 3000 to 5000 cloud entities shows the new scale-space can work well and is stable,when the whole cloud has 5%-50% behavior with un-trusted entities. Consequently,it can be used as the corresponding stable logic feature generation model and algorithm for all kinds of images,and logic relationships among image features for trust roots. 展开更多
关键词 image trust root SCALE-SPACE diffusion equation evolution operator feature detection
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Fuzzy Approach to Determining Priority Preorders of Water Resources Projects
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作者 刘英杰 冯平 《Transactions of Tianjin University》 EI CAS 2009年第2期121-125,共5页
In this paper,the criteria set related to the priority preorders of water resources projects is introduced.A fuzzy multiple criteria group decision-making model is established,which incorporates quantitative analysis,... In this paper,the criteria set related to the priority preorders of water resources projects is introduced.A fuzzy multiple criteria group decision-making model is established,which incorporates quantitative analysis,judgments,experience and preferences of decision-makers.The model is used in practice to determine the priority preorders of five water resources projects,and the results show that the best choice can supply more new employment,domestic water and irrigation water,and has better quality. 展开更多
关键词 fuzzy decision-making priority preorders water resources projects
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The Combined Effect of Initial Error and Model Error on ENSO Prediction Uncertainty Generated by the Zebiak-Cane Model
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作者 ZHAO Peng DUAN Wan-Suo 《Atmospheric and Oceanic Science Letters》 CSCD 2014年第5期447-452,共6页
Initial errors and model errors are the source of prediction errors. In this study, the authors compute the conditional nonlinear optimal perturbation (CNOP)-type initial errors and nonlinear forcing singular vector... Initial errors and model errors are the source of prediction errors. In this study, the authors compute the conditional nonlinear optimal perturbation (CNOP)-type initial errors and nonlinear forcing singular vector (NFSV)- type tendency errors of the Zebiak-Cane model with respect to El Nifio events and analyze their combined effect on the prediction errors for E1 Nino events. The CNOP- type initial error (NFSV-type tendency error) represents the initial errors (model errors) that have the largest effect on prediction uncertainties for E1 Nifio events under the perfect model (perfect initial conditions) scenario. How- ever, when the CNOP-type initial errors and the NFSV- type tendency errors are simultaneously considered in the model, the prediction errors caused by them are not am- plified as the authors expected. Specifically, the predic- tion errors caused by the combined mode of CNOP-type initial errors and NFSV-type tendency errors are a little larger than those caused by the NFSV-type tendency er- rors. This fact emphasizes a need to investigate the opti- mal combined mode of initial errors and tendency errors that cause the largest prediction error for E1 Nifio events. 展开更多
关键词 PREDICTABILITY initial error model error optimal perturbation
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Optimal production lot sizing model in a supply chain with periodically fixed demand considering learning effect 被引量:1
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作者 熊中楷 SHEN Tiesong 《Journal of Chongqing University》 CAS 2002年第2期86-88,共3页
This paper presents an optimal production model for manufacturer in a supply chain with a fixed demand at a fixed interval with respect to the learning effect on production capacity. An algorithm is employed to find t... This paper presents an optimal production model for manufacturer in a supply chain with a fixed demand at a fixed interval with respect to the learning effect on production capacity. An algorithm is employed to find the optimal delay time for production and production time sequentially. It is found that the optimal delay time for production and the production time are not static, but dynamic and variant with time. It is important for a manufacturer to schedule the production so as to prevent facilities and workers from idling. 展开更多
关键词 learning curve capacity expansion supply chain optimal production policy.
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A Simple Bioassay Using Fluorescent Microbeads and Daphnia magna
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作者 M. Kamaya M. Sonamoto K. Nagashima E.N. Ginatullina 《Journal of Environmental Science and Engineering》 2011年第12期1613-1616,共4页
The amount of microbeads ingested by Daphnia magna decreases on exposure to toxic materials; tins oenawor was used to develop a toxicity test. To determine the toxicity of seven metals, D. magna were collected and hom... The amount of microbeads ingested by Daphnia magna decreases on exposure to toxic materials; tins oenawor was used to develop a toxicity test. To determine the toxicity of seven metals, D. magna were collected and homogenized, and the fluorescence intensity of the microbeads ingested by D. magna was measured. The amount of ingestion was determined from fluorescence intensity. The fluorescence intensity was half of that of the controls which was measured as the 30 min-FI50, and these data correlated well with those from an acute immobilization method (24 h-EC50). An advantage of the method using fluorescent beads is that an estimate of the 24 h-EC50 can be obtained. 展开更多
关键词 BIOASSAY Daphnia magna ingestion of fluorescent microbeads metal ions.
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Brief Introduction to a Bionic Lizard Flywheel Planing Craft
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作者 Liang Hou Liang Yun 《Journal of Shipping and Ocean Engineering》 2015年第3期136-142,共7页
Based on the research, simulation and experimental investigation of Basilisk Lizard running on the water surface, and similar experimental investigation of the craft models and practical crafts running on the water su... Based on the research, simulation and experimental investigation of Basilisk Lizard running on the water surface, and similar experimental investigation of the craft models and practical crafts running on the water surface for about 30 years. The Bionic Lizard Flying Wheel Planing Craft was created and invented. This paper describes the evolution, experimental investigation, test results, design features, advantages, applications, and prospect of the innovation, which denotes the craft with excellent speed performance (high speed, extra STOL (short take-off and landing distance) and VTOL(vertical take-off and landing) characteristics, good transverse and longitudinal stability, super shallow water draft, high propulsion efficiency at high speed without cavitations obstacle, low external field noise, small dimension, simple configuration and structure, good economy, nice transportation efficiency, and possibly is first of these kinds in the HPMV (High Performance Marine Vessels) family around the world. 展开更多
关键词 Bionic technology basilisk lizard planing craft flying wheel high performance marine vessel PROPELLER cavitations ram wing surface effect craft take-off and landing.
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Entropy Production Rate Changes in Lysogeny/Lysis Switch Regulation of Bacteriophage Lambda
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作者 丁辉 罗辽复 林吴 《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第2期371-375,共5页
According to the chemical kinetic model of lysogeny/lysis switch in Escherichia coli (E. coil) infected by bacteriophage A, the entropy production rates of steady states are calculated. The resuits show that the lys... According to the chemical kinetic model of lysogeny/lysis switch in Escherichia coli (E. coil) infected by bacteriophage A, the entropy production rates of steady states are calculated. The resuits show that the lysogenic state has lower entropy production rate than lyric state, which provides an explanation on why the lysogenic state of A phage is so stable. We a/so notice that the entropy production rates of both lysogenic state and lyric state are lower than that of saddle-point and bifurcation state, which is consistent with the principle of minimum entropy production for living organism in nonequilibrium stationary state. Subsequently, the relations between CI and Cro degradation rates at two bifurcations and the changes of entropy production rate with CI and Cro degradation are deduced. The theory and method can be used to calculate entropy change in other molecular network. 展开更多
关键词 lysogeny/lysis switch entropy production rate stationary state BIFURCATION
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A scenario relaxation algorithm for finite scenario based robust assembly line balancing
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作者 徐炜达 Xiao Tianyuan 《High Technology Letters》 EI CAS 2011年第1期1-6,共6页
A balancing problem for a mixed model assembly line with uncertain task processmg Ume anO daily model mixed changes is considered, and the objective is to minimize the work variances between stations in the line. For ... A balancing problem for a mixed model assembly line with uncertain task processmg Ume anO daily model mixed changes is considered, and the objective is to minimize the work variances between stations in the line. For the balancing problem for the scenario-based robust assembly line with a finitely large number of potential scenarios, the direct solution methodology considering all potential scenarios is quite time-consuming. A scenario relaxation algorithm that embeds genetic al- gorithm is developed. This new algorithm guarantees termination at an optimal robust solution with relatively short running time, and makes it possible to solve robust problems with large quantities of potential scenarios. Extensive computational results are reported to show the efficiency and effectiveness of the proposed algorithm. 展开更多
关键词 scenario-based decision making robust optimization assembly line balancing genetic algorithm
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Design Efficacy Evaluation of a Landscape Information Modeling-Stable Diffusion(LIM-SD)-based Approach for Ecological Engineered Landscaping Design:A Case Study of an Urban River Wetland
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作者 Yan HUANG Tianjie LI 《景观设计学(中英文)》 CSCD 2024年第5期68-81,共14页
This study introduces a Landscape Information Modeling±Stable Diffusion(LIM±SD)-based digital workflow for ecological engineered landscaping(EEL)design,focusing on urban river wetlands.It explores how studen... This study introduces a Landscape Information Modeling±Stable Diffusion(LIM±SD)-based digital workflow for ecological engineered landscaping(EEL)design,focusing on urban river wetlands.It explores how students from diverse academic backgrounds perform EEL tasks using the LIM±SD approach.A total of 30 participants,including industrial design postgraduates and landscape architecture undergraduates and postgraduates,completed the design tasks.The efficacy of their designs was assessed through expert evaluations on site appropriateness,aesthetics,spatial layout,and eco-engineering techniques of the design proposals,as well as the parametric simulation which calculated the vegetation coverage rate and proportion of riparian areas for each design.Moreover,evaluation of participants’subjective design experiences was conducted via questionnaires.Results indicated that landscape architecture postgraduates outperformed others applying ecological engineering principles.The study also elucidated discrepancies between LIM models and SD-generated renderings,as well as the uncertainty of SDgenerated renderings,suggesting improvements are needed to align digital outputs with ecological design criteria. 展开更多
关键词 Landscape Information Modeling Stable Diffusion Ecological Engineered Landscaping Parametric Design Digital Landscape Design Efficacy Evaluation
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Science Letters:A new quantitative model of ecological compensation based on ecosystem capital in Zhejiang Province,China 被引量:8
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作者 Yan JIN Jing-feng HUANG Dai-liang PENG 《Journal of Zhejiang University-Science B(Biomedicine & Biotechnology)》 SCIE CAS CSCD 2009年第4期301-305,共5页
Ecological compensation is becoming one of key and multidiscipline issues in the field of resources and environmental management. Considering the change relation between gross domestic product (GDP) and ecological cap... Ecological compensation is becoming one of key and multidiscipline issues in the field of resources and environmental management. Considering the change relation between gross domestic product (GDP) and ecological capital (EC) based on remote sensing estimation, we construct a new quantitative estimate model for ecological compensation, using county as study unit, and determine standard value so as to evaluate ecological compensation from 2001 to 2004 in Zhejiang Province, China. Spatial differences of the ecological compensation were significant among all the counties or districts. This model fills up the gap in the field of quantitative evaluation of regional ecological compensation and provides a feasible way to reconcile the conflicts among benefits in the economic, social, and ecological sectors. 展开更多
关键词 Payment for ecosystem services (PES) Gross domestic product (GDP) Ecological capital (EC) Geospatial distribution
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Decoding early myelopoiesis from dynamics of core endogenous network 被引量:1
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作者 Hang Su Gaowei Wang +4 位作者 Ruoshi Yuan Junqiang Wang Ying Tang Ping Ao Xiaomei Zhu 《Science China(Life Sciences)》 SCIE CAS CSCD 2017年第6期627-646,共20页
A decade ago mainstream molecular biologists regarded it impossible or biologically ill-motivated to understand the dynamics of complex biological phenomena, such as cancer genesis and progression, from a network pers... A decade ago mainstream molecular biologists regarded it impossible or biologically ill-motivated to understand the dynamics of complex biological phenomena, such as cancer genesis and progression, from a network perspective. Indeed, there are numerical difficulties even for those who were determined to explore along this direction. Undeterred, seven years ago a group of Chinese scientists started a program aiming to obtain quantitative connections between tumors and network dynamics. Many interesting results have been obtained. In this paper we wish to test such idea from a different angle: the connection between a normal biological process and the network dynamics. We have taken early myelopoiesis as our biological model. A standard roadmap for the cell-fate diversification during hematopoiesis has already been well established experimentally, yet little was known for its underpinning dynamical mechanisms. Compounding this difficulty there were additional experimental challenges, such as the seemingly conflicting hematopoietic roadmaps and the cell-fate inter-conversion events. With early myeloid cell-fate determination in mind, we constructed a core molecular endogenous network from well-documented gene regulation and signal transduction knowledge. Turning the network into a set of dynamical equations, we found computationally several structurally robust states. Those states nicely correspond to known cell phenotypes. We also found the states connecting those stable states.They reveal the developmental routes—how one stable state would most likely turn into another stable state. Such interconnected network among stable states enabled a natural organization of cell-fates into a multi-stable state landscape. Accordingly, both the myeloid cell phenotypes and the standard roadmap were explained mechanistically in a straightforward manner. Furthermore,recent challenging observations were also explained naturally. Moreover, the landscape visually enables a prediction of a pool of additional cell states and developmental routes, including the non-sequential and cross-branch transitions, which are testable by future experiments. In summary, the endogenous network dynamics provide an integrated quantitative framework to understand the heterogeneity and lineage commitment in myeloid progenitors. 展开更多
关键词 developmental scheme early myeloid cell-fate determination endogenous network stable state transition state landscape
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Stability analysis of a discrete biological model
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作者 A. Q. Khan M. N. Qureshi 《International Journal of Biomathematics》 2016年第2期65-83,共19页
In this paper, we investigate the equilibrium point, local and global behavior of the unique positive equilibrium point, and rate of convergence of positive solutions of following discrete biological model: Xn+1=Xne... In this paper, we investigate the equilibrium point, local and global behavior of the unique positive equilibrium point, and rate of convergence of positive solutions of following discrete biological model: Xn+1=Xne^ln(α)(1-Yn),Yn+1=(γδ-1)Yn(1+1/γδ-1-Yn/Xn), where parameters α,γ,δ and the initial conditions Xo, ]Io are positive real numbers. Some numerical examples are given to verify theoretical results. 展开更多
关键词 Discrete biological model local stability global character rate of convergence.
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Phase-field modeling of epitaxial growth with the Ehrlich-Schwoebel barrier: Model validation and application
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作者 DONG Xiang Lei XING Hui +4 位作者 SHA Sha CHEN Chang Le NIU Li Wei WANG Jian Yuan JIN Ke Xin 《Science China(Technological Sciences)》 SCIE EI CAS CSCD 2015年第4期753-762,共10页
In this paper,we introduce different forms of mobility into a quantitative phase-field model to produce arbitrary Ehrlich-Schwoebel(ES)effects.Convergence studies were carried out in the one-side step-flow model,which... In this paper,we introduce different forms of mobility into a quantitative phase-field model to produce arbitrary Ehrlich-Schwoebel(ES)effects.Convergence studies were carried out in the one-side step-flow model,which showed that the original mobility not only induces the ES effect,but also leads to larger numerical instability with increase of the step width.Thus,another modified form of the ES barrier is proposed,and is found to be more suitable for large-scale simulations.Model applications were performed on the wedding-cake structure,coarsening and coalescence of islands and spiral growth.The results show that the ES barrier exhibits more significant kinetic effects at the larger deposition rates by limiting motions of atoms on upper steps,leading to aggregation on the top layers,as well as the roughening of growing surfaces. 展开更多
关键词 epitaxial growth phase-field method Ehrlich-Schwoebel barrier KINETICS INTERFACIAL
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Stability analysis for a size-structured model of species in a space-limited habitat
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作者 Ze-Rong He Qiang-Jun Xie Hai-Tao Wang 《International Journal of Biomathematics》 2016年第6期241-262,共22页
We investigate the stability of steady states of a size- and stage-structured population model, which is a hybrid system of ordinary and partial differential equations with global integral feedbacks. After the formula... We investigate the stability of steady states of a size- and stage-structured population model, which is a hybrid system of ordinary and partial differential equations with global integral feedbacks. After the formulation of a criterion by spectrum method, we derive conditions for global stability of the trivial state and local stability of the positive equilibrium via the basic reproduction rate. Furthermore, some examples and simulations ure .presented to illustrate the obtained results. 展开更多
关键词 Space-limitation SIZE-DEPENDENCE spectrum reproduction number stability.
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TWO TYPES OF CONDITION FOR THE GLOBAL STABILITY OF DELAYED SIS EPIDEMIC MODELS WITH NONLINEAR BIRTH RATE AND DISEASE INDUCED DEATH RATE
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作者 YUKIHIKO NAKATA YOICHI ENATSU YOSHIAKI MUROYA 《International Journal of Biomathematics》 2012年第1期127-155,共29页
We study global asymptotic stability for an SIS epidemic model with maturation delay proposed by K. Cooke, P. van den Driessche and X. Zou, Interaction of maturation delay and nonlinear birth in population and epidemi... We study global asymptotic stability for an SIS epidemic model with maturation delay proposed by K. Cooke, P. van den Driessche and X. Zou, Interaction of maturation delay and nonlinear birth in population and epidemic models, J. Math. Biol. 39(4) (1999) 332-352. It is assumed that the population has a nonlinear birth term and disease causes death of infective individuals. By using a monotone iterative method, we establish sufficient conditions for the global stability of an endemic equilibrium when it exists dependently on the monotone property of the birth rate function. Based on the analysis, we further study the model with two specific birth rate functions BI(N) = be-aN and B3(N) = A/N + c, where N denotes the total population. For each model, we obtain the disease induced death rate which guarantees the global stability of the endemic equilibrium and this gives a positive answer for an open problem by X. Q. Zhao and X. Zou, Threshold dynamics in a delayed SIS epidemic model, J. Math. Anal. Appl. 257(2) (2001) 282-291. 展开更多
关键词 SIS epidemic models nonlinear birth rate function disease induced deathrate global asymptotic stability the basic reproduction number permanence.
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