In this work, we consider a specific problem of optimal planning of maritime transportation of multiproduct cargo by ships of one （so-called ＂corporate strategy＂） or several （so-called ＂partially corporate strat...In this work, we consider a specific problem of optimal planning of maritime transportation of multiproduct cargo by ships of one （so-called ＂corporate strategy＂） or several （so-called ＂partially corporate strategy＂） companies： the core of the problem consists of the existence of the network of intermediate seaports （i.e., transitional seaports）, where for every ship arrived the cargo handling is done, and which are situated between the starting and the finishing seaports. In this work, there are mathematical models built from scratch in the form of multi-criterion optimization problem; according to the properties of the criteria and structure of the feasible solution set; are formulated different optimality conditions; are analysed different approaches for finding effective solutions （i.e., Pareto optimal solutions） and for check of the given solutions＇ effectiveness. In addition, in this work, there is considered and analysed well-known method of contraction of the Pareto boundary （goal attainment method of Gembicki）, then, it is used for reducing the built models to a one-criterion problem of linear programming.展开更多
The rim partials of a church bell (those with an antinode at the soundbow) generate the strike pitch or perceived note of the bell. The spacing in frequency of the higher rim partials has an important effect on the to...The rim partials of a church bell (those with an antinode at the soundbow) generate the strike pitch or perceived note of the bell. The spacing in frequency of the higher rim partials has an important effect on the tonal quality of the bell. Investigations into the partial frequencies of 2752 bells, both bronze and steel, of a wide variety of dates, founders and sizes, show a simple and unexpected relationship between the frequencies of the rim partials. This relationship explains why attempts to tune the higher rim partials independently have failed. A modified version of Chladni’s law provides insight into the musical relationship of the partials, and predicts the partials of individual bells well, but fails to give a simple model of the spacing between the partials seen in bells with different profiles.展开更多
Multi-agent model is well-known to suit design of complex systems. This paradigm allows describing autonomous entities to interact together directly or through their environment. It is specially adapted to design 3D s...Multi-agent model is well-known to suit design of complex systems. This paradigm allows describing autonomous entities to interact together directly or through their environment. It is specially adapted to design 3D simulations taking into account spatial constraints on agents. In this work, we have designed a multi-agent model which adds a feature to the classical representation of agent: a body, encapsulating a physical model of the agent. We have applied this model to lipids and proteins belonging to the inner mitochondrial membrane, a biological membrane. Information provided by atomic structures is available through international databases and has been used to design a shape-based grain model for the agent body. We selected a model with three grains per molecule in which each grain is characterized by a type determining how they interact together and consequently the agent behaviors. Lipids and two kinds of protein structures have been described within this model allowing us to simulate their organization in membranes.展开更多
Previous research suggests that Gossypium has undergone a 5-to 6-fold multiplication following its divergence from Theobroma. However, the number of events, or where they occurred in the Malvaceae phylogeny remains un...Previous research suggests that Gossypium has undergone a 5-to 6-fold multiplication following its divergence from Theobroma. However, the number of events, or where they occurred in the Malvaceae phylogeny remains unknown. We analyzed transcriptomic and genomic data from representatives of eight of the nine Malvaceae subfamilies. Phylogenetic analysis of nuclear data placed Dombeya(Dombeyoideae) as sister to the rest of Malvadendrina clade, but the plastid DNA tree strongly supported Durio(Helicteroideae) in this position. Intraspecific Ks plots indicated that all sampled taxa, except Theobroma(Byttnerioideae), Corchorus(Grewioideae), and Dombeya(Dombeyoideae), have experienced whole genome multiplications(WGMs). Quartet analysis suggested WGMs were shared by Malvoideae-Bombacoideae and Sterculioideae-Tilioideae, but did not resolve whether these are shared with each other or Helicteroideae(Durio).Gene tree reconciliation and Bayesian concordance analysis suggested a complex history. Alternative hypotheses are suggested, each involving two independent autotetraploid and one allopolyploid event. They differ in that one entails an allopolyploid origin for the Durio lineage,whereas the other invokes an allopolyploid origin for Malvoideae-Bombacoideae. We highlight the need for more genomic information in the Malvaceae and improved methods to resolve complex evolutionary histories that may include allopolyploidy, incomplete lineage sorting, and variable rates of gene and genome evolution.展开更多
This paper deals with a monotone weighted average iterative method for solving semilinear singularly perturbed parabolic problems. Monotone sequences, based on the ac- celerated monotone iterative method, are construc...This paper deals with a monotone weighted average iterative method for solving semilinear singularly perturbed parabolic problems. Monotone sequences, based on the ac- celerated monotone iterative method, are constructed for a nonlinear difference scheme which approximates the semilinear parabolic problem. This monotone convergence leads to the existence-uniqueness theorem. An analysis of uniform convergence of the monotone weighted average iterative method to the solutions of the nonlinear difference scheme and continuous problem is given. Numerical experiments are presented.展开更多
The paper deals with a numerical method for solving nonlinear integro-parabolic prob- lems of Fredholm type. A monotone iterative method, based on the method of upper and lower solutions, is constructed. This iterativ...The paper deals with a numerical method for solving nonlinear integro-parabolic prob- lems of Fredholm type. A monotone iterative method, based on the method of upper and lower solutions, is constructed. This iterative method yields two sequences which converge monotonically from above and below, respectively, to a solution of a nonlinear difference scheme. This monotone convergence leads to an existence-uniqueness theorem. An analy- sis of convergence rates of the monotone iterative method is given. Some basic techniques for construction of initial upper and lower solutions are given, and numerical experiments with two test problems are presented.展开更多
The difference between the strange and antistrange quark distributions,δs（x） = s（x） ˉs（x）,and the combination of light quark sea and strange quark sea,Δ（x） =ˉ d（x） ＋ uˉ（x） s（x） ˉs（x）,are origina...The difference between the strange and antistrange quark distributions,δs（x） = s（x） ˉs（x）,and the combination of light quark sea and strange quark sea,Δ（x） =ˉ d（x） ＋ uˉ（x） s（x） ˉs（x）,are originated from non-perturbative processes and can be calculated using non-perturbative models of the nucleon.We report calculations of δs（x） and Δ（x） using the meson cloud model.Combining our calculations of Δ（x） with relatively well known light antiquark distributions obtained from global analysis of available experimental data,we estimate the total strange sea distributions of the nucleon.展开更多
The major challenge in photothermal therapy(PTT)is to develop nanocomposites that simultaneously exhibit bioimaging and PTT under a single near-infrared(NIR)irradiation with high therapeutic efficiency.Herein,we prese...The major challenge in photothermal therapy(PTT)is to develop nanocomposites that simultaneously exhibit bioimaging and PTT under a single near-infrared(NIR)irradiation with high therapeutic efficiency.Herein,we present a multifunctional nanocomposite synthesized by linking NaYF_(4):Yb^(3+),Er^(3+)upconversion nanoparticles(UCNPs)with gold nanorods(AuNR)to exhibit fluorescence label-ing,local temperature sensing and photothermal functions simul-taneously with a single NIR laser excitation.The AuNR-NaYF_(4):Yb^(3+),Er^(3+)nanocomposite particles displayed better photothermal prop-erties compared with pure AuNRs or a blend of AuNRs and NaYF_(4):Yb^(3+),Er^(3+)UCNPs.The temperature-dependent upconversion lumi-nescence(UCL)property was used to determine local temperature at the nanocomposite particles,which is useful for selecting appro-priate irradiation dosage for PTT.The therapeutic performance of the nanocomposites in PTT for OML-1 oral cancer cells was deter-mined.For cell labeling,we successfully labeled streptavidin-linked nanocomposite particles on the surface of OML-1 oral cancer using anti-human epidermal growth factor receptor 2(anti-Her2)anti-body.Finally,the nanocomposite particles caused exceptional destruction of cancer cells up to 70%dead cells under 976 nm laser irradiation for only one min at 0.3 W/cm^(2)which is below the maximal permissible exposure of human skin.展开更多
A wedge-shaped planar mass-flow hopper system was modelled using stress-field theory as found in the literature, The authors present governing equations for stress and velocity fields under a radial- flow assumption i...A wedge-shaped planar mass-flow hopper system was modelled using stress-field theory as found in the literature, The authors present governing equations for stress and velocity fields under a radial- flow assumption in a converging hopper. The velocity in the silo above the hopper is modelled as plug flow, Two set-ups are modelled, one where powder layers in the hopper are assumed to be flat, and the second in which the layers are heaped at some characteristic angle, The ejection times and residence-time distributions are calculated and presented for a range of heap angles. For realistic heap angles, the spread of the residence-time distribution decreases with increasing heap angle; in one case, the spread is halved to a well-defined limit. At this limit （the critical heap angle） the geometry of the hopper can be optimised to minimise the spread of the residence-time distribution, and hence to minimise predicted mixing in the system. We present examples of curves for a variety of parameters that minimise the predicted mixing in the hopper-silo system.展开更多
This paper presents and analyzes a monotone domain decomposition algorithm for solving nonlinear singularly perturbed reaction-diffusion problems of parabolic type. To solve the nonlinear weighted average finite diffe...This paper presents and analyzes a monotone domain decomposition algorithm for solving nonlinear singularly perturbed reaction-diffusion problems of parabolic type. To solve the nonlinear weighted average finite difference scheme for the partial differential equation, we construct a monotone domain decomposition algorithm based on a Schwarz alternating method and a box-domain decomposition. This algorithm needs only to solve linear discrete systems at each iterative step and converges monotonically to the exact solution of the nonlinear discrete problem. domain decomposition algorithm is estimated The rate of convergence of the monotone Numerical experiments are presented.展开更多
The long time behavior of the solutions of some partly dissipative reaction diffusion systems is studied. We prove the existence of a compact （L^2 × L^2 - H^1 × L^2） attractor for a partly dissipative reac...The long time behavior of the solutions of some partly dissipative reaction diffusion systems is studied. We prove the existence of a compact （L^2 × L^2 - H^1 × L^2） attractor for a partly dissipative reaction diffusion system in Rn. This improves a previous result obtained by A. Rodrigues-Bernal and B. Wang concerning the existence of a compact （L^2 × L^2 - L^2 × L^2） attractor for the same system.展开更多
文摘In this work, we consider a specific problem of optimal planning of maritime transportation of multiproduct cargo by ships of one （so-called ＂corporate strategy＂） or several （so-called ＂partially corporate strategy＂） companies： the core of the problem consists of the existence of the network of intermediate seaports （i.e., transitional seaports）, where for every ship arrived the cargo handling is done, and which are situated between the starting and the finishing seaports. In this work, there are mathematical models built from scratch in the form of multi-criterion optimization problem; according to the properties of the criteria and structure of the feasible solution set; are formulated different optimality conditions; are analysed different approaches for finding effective solutions （i.e., Pareto optimal solutions） and for check of the given solutions＇ effectiveness. In addition, in this work, there is considered and analysed well-known method of contraction of the Pareto boundary （goal attainment method of Gembicki）, then, it is used for reducing the built models to a one-criterion problem of linear programming.
基金This research is partially supported by the Key Teachers Foundation of Chongqing Uni-versity (No2003018)the Key Teachers Foundation of Universities in Chongqing (No20020126)
文摘The rim partials of a church bell (those with an antinode at the soundbow) generate the strike pitch or perceived note of the bell. The spacing in frequency of the higher rim partials has an important effect on the tonal quality of the bell. Investigations into the partial frequencies of 2752 bells, both bronze and steel, of a wide variety of dates, founders and sizes, show a simple and unexpected relationship between the frequencies of the rim partials. This relationship explains why attempts to tune the higher rim partials independently have failed. A modified version of Chladni’s law provides insight into the musical relationship of the partials, and predicts the partials of individual bells well, but fails to give a simple model of the spacing between the partials seen in bells with different profiles.
文摘Multi-agent model is well-known to suit design of complex systems. This paradigm allows describing autonomous entities to interact together directly or through their environment. It is specially adapted to design 3D simulations taking into account spatial constraints on agents. In this work, we have designed a multi-agent model which adds a feature to the classical representation of agent: a body, encapsulating a physical model of the agent. We have applied this model to lipids and proteins belonging to the inner mitochondrial membrane, a biological membrane. Information provided by atomic structures is available through international databases and has been used to design a shape-based grain model for the agent body. We selected a model with three grains per molecule in which each grain is characterized by a type determining how they interact together and consequently the agent behaviors. Lipids and two kinds of protein structures have been described within this model allowing us to simulate their organization in membranes.
基金provided through the National Science Foundation (award 1354268 to DAB, CA, CEG, and JFW)Cotton Incorporated (to JFW)
文摘Previous research suggests that Gossypium has undergone a 5-to 6-fold multiplication following its divergence from Theobroma. However, the number of events, or where they occurred in the Malvaceae phylogeny remains unknown. We analyzed transcriptomic and genomic data from representatives of eight of the nine Malvaceae subfamilies. Phylogenetic analysis of nuclear data placed Dombeya(Dombeyoideae) as sister to the rest of Malvadendrina clade, but the plastid DNA tree strongly supported Durio(Helicteroideae) in this position. Intraspecific Ks plots indicated that all sampled taxa, except Theobroma(Byttnerioideae), Corchorus(Grewioideae), and Dombeya(Dombeyoideae), have experienced whole genome multiplications(WGMs). Quartet analysis suggested WGMs were shared by Malvoideae-Bombacoideae and Sterculioideae-Tilioideae, but did not resolve whether these are shared with each other or Helicteroideae(Durio).Gene tree reconciliation and Bayesian concordance analysis suggested a complex history. Alternative hypotheses are suggested, each involving two independent autotetraploid and one allopolyploid event. They differ in that one entails an allopolyploid origin for the Durio lineage,whereas the other invokes an allopolyploid origin for Malvoideae-Bombacoideae. We highlight the need for more genomic information in the Malvaceae and improved methods to resolve complex evolutionary histories that may include allopolyploidy, incomplete lineage sorting, and variable rates of gene and genome evolution.
文摘This paper deals with a monotone weighted average iterative method for solving semilinear singularly perturbed parabolic problems. Monotone sequences, based on the ac- celerated monotone iterative method, are constructed for a nonlinear difference scheme which approximates the semilinear parabolic problem. This monotone convergence leads to the existence-uniqueness theorem. An analysis of uniform convergence of the monotone weighted average iterative method to the solutions of the nonlinear difference scheme and continuous problem is given. Numerical experiments are presented.
文摘The paper deals with a numerical method for solving nonlinear integro-parabolic prob- lems of Fredholm type. A monotone iterative method, based on the method of upper and lower solutions, is constructed. This iterative method yields two sequences which converge monotonically from above and below, respectively, to a solution of a nonlinear difference scheme. This monotone convergence leads to an existence-uniqueness theorem. An analy- sis of convergence rates of the monotone iterative method is given. Some basic techniques for construction of initial upper and lower solutions are given, and numerical experiments with two test problems are presented.
文摘The difference between the strange and antistrange quark distributions,δs（x） = s（x） ˉs（x）,and the combination of light quark sea and strange quark sea,Δ（x） =ˉ d（x） ＋ uˉ（x） s（x） ˉs（x）,are originated from non-perturbative processes and can be calculated using non-perturbative models of the nucleon.We report calculations of δs（x） and Δ（x） using the meson cloud model.Combining our calculations of Δ（x） with relatively well known light antiquark distributions obtained from global analysis of available experimental data,we estimate the total strange sea distributions of the nucleon.
基金This work was supported by Ministry of Science and Technology,Taiwan,under Grant Nos.MOST 107-2923-M-194-001-MY3 and MOST 107-2112-M-194-011-MY3 and Center for Nano Bio-Detection from The Featured Research Areas College Development Plan of National Chung Cheng University.
文摘The major challenge in photothermal therapy(PTT)is to develop nanocomposites that simultaneously exhibit bioimaging and PTT under a single near-infrared(NIR)irradiation with high therapeutic efficiency.Herein,we present a multifunctional nanocomposite synthesized by linking NaYF_(4):Yb^(3+),Er^(3+)upconversion nanoparticles(UCNPs)with gold nanorods(AuNR)to exhibit fluorescence label-ing,local temperature sensing and photothermal functions simul-taneously with a single NIR laser excitation.The AuNR-NaYF_(4):Yb^(3+),Er^(3+)nanocomposite particles displayed better photothermal prop-erties compared with pure AuNRs or a blend of AuNRs and NaYF_(4):Yb^(3+),Er^(3+)UCNPs.The temperature-dependent upconversion lumi-nescence(UCL)property was used to determine local temperature at the nanocomposite particles,which is useful for selecting appro-priate irradiation dosage for PTT.The therapeutic performance of the nanocomposites in PTT for OML-1 oral cancer cells was deter-mined.For cell labeling,we successfully labeled streptavidin-linked nanocomposite particles on the surface of OML-1 oral cancer using anti-human epidermal growth factor receptor 2(anti-Her2)anti-body.Finally,the nanocomposite particles caused exceptional destruction of cancer cells up to 70%dead cells under 976 nm laser irradiation for only one min at 0.3 W/cm^(2)which is below the maximal permissible exposure of human skin.
文摘A wedge-shaped planar mass-flow hopper system was modelled using stress-field theory as found in the literature, The authors present governing equations for stress and velocity fields under a radial- flow assumption in a converging hopper. The velocity in the silo above the hopper is modelled as plug flow, Two set-ups are modelled, one where powder layers in the hopper are assumed to be flat, and the second in which the layers are heaped at some characteristic angle, The ejection times and residence-time distributions are calculated and presented for a range of heap angles. For realistic heap angles, the spread of the residence-time distribution decreases with increasing heap angle; in one case, the spread is halved to a well-defined limit. At this limit （the critical heap angle） the geometry of the hopper can be optimised to minimise the spread of the residence-time distribution, and hence to minimise predicted mixing in the system. We present examples of curves for a variety of parameters that minimise the predicted mixing in the hopper-silo system.
文摘This paper presents and analyzes a monotone domain decomposition algorithm for solving nonlinear singularly perturbed reaction-diffusion problems of parabolic type. To solve the nonlinear weighted average finite difference scheme for the partial differential equation, we construct a monotone domain decomposition algorithm based on a Schwarz alternating method and a box-domain decomposition. This algorithm needs only to solve linear discrete systems at each iterative step and converges monotonically to the exact solution of the nonlinear discrete problem. domain decomposition algorithm is estimated The rate of convergence of the monotone Numerical experiments are presented.
基金Supported by the Key Teachers Foundation of Chongqing University(No.2003018)the Key Teachers Foundation of Universities in Chongqing(No.20020126).
文摘The long time behavior of the solutions of some partly dissipative reaction diffusion systems is studied. We prove the existence of a compact （L^2 × L^2 - H^1 × L^2） attractor for a partly dissipative reaction diffusion system in Rn. This improves a previous result obtained by A. Rodrigues-Bernal and B. Wang concerning the existence of a compact （L^2 × L^2 - L^2 × L^2） attractor for the same system.
