How the outer substance could penetrate through the skin lies in the stratum corneum, because it is the main barrier in the multi-layers of the skin. Supposing the keratin cell with a special geometry as tetrakaidecah...How the outer substance could penetrate through the skin lies in the stratum corneum, because it is the main barrier in the multi-layers of the skin. Supposing the keratin cell with a special geometry as tetrakaidecahedron, the penetration property of stratum corneum was the key problem which was numerically simulated with finite element method. At first the discretization of the stratum corneum region was given in two steps： first, the discretization of the keratin cell; second, the discretization of fattiness that surrounds the keratin. Then there was the work of numerical simulation. In this procedure, the finite element method and the multi-grid method were used. The former was to obtain the discretization of basic elements; the latter was to decrease the high frequency error. At last the visualization of the numerical simulation was shown.展开更多
Supermassive DEOs (SMDEOs) are cosmologically evolved objects made of irreducible incompressible supranuclear dense superfluids: The state we consider to govern the matter inside the cores of massive neutron stars. Th...Supermassive DEOs (SMDEOs) are cosmologically evolved objects made of irreducible incompressible supranuclear dense superfluids: The state we consider to govern the matter inside the cores of massive neutron stars. These cores are practically trapped in false vacua, rendering their detection by outside observers impossible. Based on massive parallel computations and theoretical investigations, we show that SMDEOs at the centres of spiral galaxies that are surrounded by massive rotating torii of normal matter may serve as powerful sources for gravitational waves carrying away roughly 1042 erg/s. Due to the extensive cooling by GWs, the SMDEO-Torus systems undergo glitching, through which both rotational and gravitational energies are abruptly ejected into the ambient media, during which the topologies of the embedding spacetimes change from curved into flatter ones, thereby triggering a burst gravitational energy of order 1059 erg. Also, the effects of glitches found to alter the force balance of objects in the Lagrangian-L1 region between the central SMDEO-Torus system and the bulge, enforcing the enclosed objects to develop violent motions, that may explain the origin of the rotational curve irregularities observed in the innermost part of spiral galaxies. Our study shows that the generated GWs at the centres of galaxies, which traverse billions of objects during their outward propagations throughout the entire galaxy, lose energy due to repeatedly squeezing and stretching the objects. Here, we find that these interactions may serve as damping processes that give rise to the formation of collective forces f∝m(r)/r, that point outward, endowing the objects with the observed flat rotation curves. Our approach predicts a correlation between the baryonic mass and the rotation velocities in galaxies, which is in line with the Tully-Fisher relation. The here-presented self-consistent approach explains nicely the observed rotation curves without invoking dark matter or modifying Newtonian gravitation in the low-field approximation.展开更多
Managing the charging process of a large number of electric vehicles to decrease the pressure on the local electricity grid is of high interest to the utilities. Using efficient mathematical optimization techniques, t...Managing the charging process of a large number of electric vehicles to decrease the pressure on the local electricity grid is of high interest to the utilities. Using efficient mathematical optimization techniques, the charging behavior of electric vehicles shall be optimally controlled taking into account network, vehicle, and customer requirements. We developed an efficient algorithm for calculating load shift potentials defined as the range of all charging curves meeting the customer’s requirements and respecting all individual charging and discharging constraints over time. In addition, we formulated a mixed integer linear program (MIP) applying semi-continuous variables to find cost-optimal load curves for every vehicle participating in a load shift. This problem can be solved by e.g. branch-and-bound algorithms. Results of two scenarios of Germany in 2015 and 2030 based on mobility studies show that the load shifting potential of EV is significant and contribute to a necessary relaxation of the future grid. The maximum charging and discharging power and the average battery capacity are crucial to the overall load shift potential.展开更多
The Cahn–Hilliard equations are a versatile model for describing the evolution of complex morphologies.In this paper we present a computational pipeline for the numerical solution of a ternary phase-field model for d...The Cahn–Hilliard equations are a versatile model for describing the evolution of complex morphologies.In this paper we present a computational pipeline for the numerical solution of a ternary phase-field model for describing the nanomorphology of donor–acceptor semiconductor blends used in organic photovoltaic devices.The model consists of two coupled fourth-order partial differential equations that are discretized using a finite element approach.In order to solve the resulting large-scale linear systems efficiently,we propose a preconditioning strategy that is based on efficient approximations of the Schur-complement of a saddle point system.We show that this approach performs robustly with respect to variations in the discretization parameters.Finally,we outline that the computed morphologies can be used for the computation of charge generation,recombination,and transport in organic solar cells.展开更多
Background:To retrospectively analyse strategies for adjusting refractive surgery plans with reference to the preoperative manifest refraction.Methods:We constructed seven nomograms based on the refractive outcomes(sp...Background:To retrospectively analyse strategies for adjusting refractive surgery plans with reference to the preoperative manifest refraction.Methods:We constructed seven nomograms based on the refractive outcomes(sphere,cylinder,axis[SCA])of 150 consecutive eyes treated with laser in situ keratomileusis for myopic astigmatism.We limited the initial data to the SCA of the manifest refraction.All nomograms were based on the strategy:if for x diopters(D)of attempted metric,y D is achieved;we can reverse this sentence and state for achieving y D of change in the metric,x D will be planned.The effects of the use of plus or minus astigmatism notation,spherical equivalent,sphere,principal meridians notation,cardinal and oblique astigmatism,and astigmatic axis were incorporated.Results:All nomograms detected subtle differences in the spherical component(p<0.0001).Nomograms 5 and 7(using power vectors)and 6(considering axis shifts)detected significant astigmatic differences(nomogram 5,p<0.001;nomogram 6,p<0.05;nomogram 7,p<0.005 for cardinal astigmatism,p=0.1 for oblique astigmatism).We observed mild clinically relevant differences(~0.5 D)in sphere or astigmatism among the nomograms;differences of~0.25 D in the proposals for sphere or cylinder were not uncommon.All nomograms suggested minor improvements versus actual observed outcomes,with no clinically relevant differences among them.Conclusions:All nomograms anticipated minor improvements versus actual observed outcomes without clinically relevant differences among them.The minimal uncertainties in determining the manifest refraction(~0.6 D)are the major limitation to improving the accuracy of refractive surgery nomograms.展开更多
For a family of linear hyperbolic damped stochastic wave equations with rapidly oscillating coefficients, we establish the homogenization result by using the sigma-convergence method. This is achieved under an abstrac...For a family of linear hyperbolic damped stochastic wave equations with rapidly oscillating coefficients, we establish the homogenization result by using the sigma-convergence method. This is achieved under an abstract assumption covering special cases like the periodicity, the almost periodicity and some others.展开更多
Background:In this retrospective randomized case series,we compared bilateral symmetry between OD and OS eyes,intercorneal differences and Functional Optical Zone(FOZ)of the corneal aberrations.Methods:Sixty-seven nor...Background:In this retrospective randomized case series,we compared bilateral symmetry between OD and OS eyes,intercorneal differences and Functional Optical Zone(FOZ)of the corneal aberrations.Methods:Sixty-seven normal subjects(with no ocular pathology)who never had any ocular surgery were bilaterally evaluated at Augenzentrum Recklinghausen(Germany).In all cases,standard examinations and corneal wavefront topography(OPTIKON Scout)were performed.The OD/OS bilateral symmetry was evaluated for corneal wavefront aberrations,and FOZ-values were evaluated from the Root-Mean-Square(RMS)of High-Order Wavefront-Aberration(HOWAb).Moreover,correlations of FOZ,spherical equivalent(SE),astigmatism power,and cardinal and oblique astigmatism for binocular vs.monocular,and binocular vs.intercorneal differences were analyzed.Results:Mean FOZ was 6.56±1.13 mm monocularly,6.97±1.34 mm binocularly,and 7.64±1.30 mm intercorneal difference,with all strongly positively correlated,showing that the diameter of glare-free vision is larger in binocular than monocular conditions.Mean SE was 0.78±1.30 D,and the mean astigmatism power(magnitude)was 0.46±0.52 D binocularly.The corresponding monocular values for these metrics were 0.78±1.30 D and 0.53±0.53 D respectively.SE,astigmatism magnitude,cardinal astigmatism component,and FOZ showed a strong correlation and even symmetry;and oblique astigmatism component showed odd symmetry indicating Enantiomorphism between the left and right eye.Conclusions:These results confirm OD-vs.-OS bilateral symmetry(which influences binocular summation)of HOWAb,FOZ,defocus,astigmatism power,and cardinal and oblique astigmatism.Binocular Functional Optical Zone calculated from corneal wavefront aberrations can be used to optimize refractive surgery design.展开更多
Nanocomposites built from polymers and carbon nanotubes(CNTs)are a promising class of materials.Computer modeling can provide nanoscale views of the polymer–CNT interface,which are much needed to foster the manufactu...Nanocomposites built from polymers and carbon nanotubes(CNTs)are a promising class of materials.Computer modeling can provide nanoscale views of the polymer–CNT interface,which are much needed to foster the manufacturing and development of such materials.However,setting up periodic nanocomposite models is a challenging task.Here we propose a computational workflow based on Molecular Dynamics simulations.展开更多
文摘How the outer substance could penetrate through the skin lies in the stratum corneum, because it is the main barrier in the multi-layers of the skin. Supposing the keratin cell with a special geometry as tetrakaidecahedron, the penetration property of stratum corneum was the key problem which was numerically simulated with finite element method. At first the discretization of the stratum corneum region was given in two steps： first, the discretization of the keratin cell; second, the discretization of fattiness that surrounds the keratin. Then there was the work of numerical simulation. In this procedure, the finite element method and the multi-grid method were used. The former was to obtain the discretization of basic elements; the latter was to decrease the high frequency error. At last the visualization of the numerical simulation was shown.
文摘Supermassive DEOs (SMDEOs) are cosmologically evolved objects made of irreducible incompressible supranuclear dense superfluids: The state we consider to govern the matter inside the cores of massive neutron stars. These cores are practically trapped in false vacua, rendering their detection by outside observers impossible. Based on massive parallel computations and theoretical investigations, we show that SMDEOs at the centres of spiral galaxies that are surrounded by massive rotating torii of normal matter may serve as powerful sources for gravitational waves carrying away roughly 1042 erg/s. Due to the extensive cooling by GWs, the SMDEO-Torus systems undergo glitching, through which both rotational and gravitational energies are abruptly ejected into the ambient media, during which the topologies of the embedding spacetimes change from curved into flatter ones, thereby triggering a burst gravitational energy of order 1059 erg. Also, the effects of glitches found to alter the force balance of objects in the Lagrangian-L1 region between the central SMDEO-Torus system and the bulge, enforcing the enclosed objects to develop violent motions, that may explain the origin of the rotational curve irregularities observed in the innermost part of spiral galaxies. Our study shows that the generated GWs at the centres of galaxies, which traverse billions of objects during their outward propagations throughout the entire galaxy, lose energy due to repeatedly squeezing and stretching the objects. Here, we find that these interactions may serve as damping processes that give rise to the formation of collective forces f∝m(r)/r, that point outward, endowing the objects with the observed flat rotation curves. Our approach predicts a correlation between the baryonic mass and the rotation velocities in galaxies, which is in line with the Tully-Fisher relation. The here-presented self-consistent approach explains nicely the observed rotation curves without invoking dark matter or modifying Newtonian gravitation in the low-field approximation.
基金supported by the Energy Solution Center(EnSoC),an association of major industrial corporations and research institutions in Germanysupport by Deutsche Forschungsgemeinschaft and Open Access Publishing Fund of Karlsruhe Institute of Technology
文摘Managing the charging process of a large number of electric vehicles to decrease the pressure on the local electricity grid is of high interest to the utilities. Using efficient mathematical optimization techniques, the charging behavior of electric vehicles shall be optimally controlled taking into account network, vehicle, and customer requirements. We developed an efficient algorithm for calculating load shift potentials defined as the range of all charging curves meeting the customer’s requirements and respecting all individual charging and discharging constraints over time. In addition, we formulated a mixed integer linear program (MIP) applying semi-continuous variables to find cost-optimal load curves for every vehicle participating in a load shift. This problem can be solved by e.g. branch-and-bound algorithms. Results of two scenarios of Germany in 2015 and 2030 based on mobility studies show that the load shifting potential of EV is significant and contribute to a necessary relaxation of the future grid. The maximum charging and discharging power and the average battery capacity are crucial to the overall load shift potential.
基金the Deutsche Forschungsgemeinschaft(DFG)for funding this work(Research Unit FOR 5387 POPULAR,Project No.461909888).
文摘The Cahn–Hilliard equations are a versatile model for describing the evolution of complex morphologies.In this paper we present a computational pipeline for the numerical solution of a ternary phase-field model for describing the nanomorphology of donor–acceptor semiconductor blends used in organic photovoltaic devices.The model consists of two coupled fourth-order partial differential equations that are discretized using a finite element approach.In order to solve the resulting large-scale linear systems efficiently,we propose a preconditioning strategy that is based on efficient approximations of the Schur-complement of a saddle point system.We show that this approach performs robustly with respect to variations in the discretization parameters.Finally,we outline that the computed morphologies can be used for the computation of charge generation,recombination,and transport in organic solar cells.
文摘Background:To retrospectively analyse strategies for adjusting refractive surgery plans with reference to the preoperative manifest refraction.Methods:We constructed seven nomograms based on the refractive outcomes(sphere,cylinder,axis[SCA])of 150 consecutive eyes treated with laser in situ keratomileusis for myopic astigmatism.We limited the initial data to the SCA of the manifest refraction.All nomograms were based on the strategy:if for x diopters(D)of attempted metric,y D is achieved;we can reverse this sentence and state for achieving y D of change in the metric,x D will be planned.The effects of the use of plus or minus astigmatism notation,spherical equivalent,sphere,principal meridians notation,cardinal and oblique astigmatism,and astigmatic axis were incorporated.Results:All nomograms detected subtle differences in the spherical component(p<0.0001).Nomograms 5 and 7(using power vectors)and 6(considering axis shifts)detected significant astigmatic differences(nomogram 5,p<0.001;nomogram 6,p<0.05;nomogram 7,p<0.005 for cardinal astigmatism,p=0.1 for oblique astigmatism).We observed mild clinically relevant differences(~0.5 D)in sphere or astigmatism among the nomograms;differences of~0.25 D in the proposals for sphere or cylinder were not uncommon.All nomograms suggested minor improvements versus actual observed outcomes,with no clinically relevant differences among them.Conclusions:All nomograms anticipated minor improvements versus actual observed outcomes without clinically relevant differences among them.The minimal uncertainties in determining the manifest refraction(~0.6 D)are the major limitation to improving the accuracy of refractive surgery nomograms.
基金the support of the CETIC(African Center of Excellence in Information and Communication Technologies)the support of the Humboldt Foundation
文摘For a family of linear hyperbolic damped stochastic wave equations with rapidly oscillating coefficients, we establish the homogenization result by using the sigma-convergence method. This is achieved under an abstract assumption covering special cases like the periodicity, the almost periodicity and some others.
文摘Background:In this retrospective randomized case series,we compared bilateral symmetry between OD and OS eyes,intercorneal differences and Functional Optical Zone(FOZ)of the corneal aberrations.Methods:Sixty-seven normal subjects(with no ocular pathology)who never had any ocular surgery were bilaterally evaluated at Augenzentrum Recklinghausen(Germany).In all cases,standard examinations and corneal wavefront topography(OPTIKON Scout)were performed.The OD/OS bilateral symmetry was evaluated for corneal wavefront aberrations,and FOZ-values were evaluated from the Root-Mean-Square(RMS)of High-Order Wavefront-Aberration(HOWAb).Moreover,correlations of FOZ,spherical equivalent(SE),astigmatism power,and cardinal and oblique astigmatism for binocular vs.monocular,and binocular vs.intercorneal differences were analyzed.Results:Mean FOZ was 6.56±1.13 mm monocularly,6.97±1.34 mm binocularly,and 7.64±1.30 mm intercorneal difference,with all strongly positively correlated,showing that the diameter of glare-free vision is larger in binocular than monocular conditions.Mean SE was 0.78±1.30 D,and the mean astigmatism power(magnitude)was 0.46±0.52 D binocularly.The corresponding monocular values for these metrics were 0.78±1.30 D and 0.53±0.53 D respectively.SE,astigmatism magnitude,cardinal astigmatism component,and FOZ showed a strong correlation and even symmetry;and oblique astigmatism component showed odd symmetry indicating Enantiomorphism between the left and right eye.Conclusions:These results confirm OD-vs.-OS bilateral symmetry(which influences binocular summation)of HOWAb,FOZ,defocus,astigmatism power,and cardinal and oblique astigmatism.Binocular Functional Optical Zone calculated from corneal wavefront aberrations can be used to optimize refractive surgery design.
基金We also thank the PRACE committee for granting us supercomputer time at High Performance Computing Center Stuttgart in Hermit/Hornet supercomputers(project PP14102332)E.R.C.C.acknowledges additional support from the Fundacion Cristina e Ismael Cobian through Beca de RetornoN.M.P.is supported by the European Commision under the Graphene Fragship Core 3 grant No.881603(WP12,"Composites").
文摘Nanocomposites built from polymers and carbon nanotubes(CNTs)are a promising class of materials.Computer modeling can provide nanoscale views of the polymer–CNT interface,which are much needed to foster the manufacturing and development of such materials.However,setting up periodic nanocomposite models is a challenging task.Here we propose a computational workflow based on Molecular Dynamics simulations.
