Analysis of Oxygen Exchange Between Arterioles and Surrounding Capillary-Perfused Tissue

1992 ◽  
Vol 114 (2) ◽  
pp. 227-231 ◽  
Author(s):  
R. Hsu ◽  
T. W. Secomb
Keyword(s):  
Theoretical Model ◽  
Flow Rate ◽  
Oxygen Transport ◽  
Continuum Model ◽  
Capillary Flow ◽  
Three Dimensional ◽  
Continuum Approach ◽  
Oxygen Loss ◽  
Tissue Region ◽  
The Continuum

A theoretical model is used to analyze oxygen transport in a three-dimensional tissue region containing an arteriole surrounded by an array of capillaries in planes perpendicular to the arteriole. Convective removal of oxygen from the vicinity of the arteriole by nearby capillaries is shown to increase diffusive oxygen loss from the arteriole. This effect depends on the locations of the capillaries, particularly those nearest to the arteriole. The arteriolar oxygen efflux is comparable to that predicted by a previous model which used a continuum approach, but the efflux does not increase with increasing perfusion as rapidly as predicted by the continuum model. Even a small capillary flow rate strongly influences the oxygen field surrounding the arteriole.

scholarly journals Discrete-to-continuum modelling of weakly interacting incommensurate two-dimensional lattices

2018 ◽  
Vol 474 (2209) ◽  
pp. 20170612 ◽  
Author(s):  
Malena I. Español ◽  
Dmitry Golovaty ◽  
J. Patrick Wilber
Keyword(s):  
Continuum Model ◽  
Domain Walls ◽  
Three Dimensional ◽  
Variational Model ◽  
Dimensional System ◽  
Two Dimensional ◽  
Starting Point ◽  
Continuum Modelling ◽  
Three Dimensional System ◽  
The Continuum

In this paper, we derive a continuum variational model for a two-dimensional deformable lattice of atoms interacting with a two-dimensional rigid lattice. The starting point is a discrete atomistic model for the two lattices which are assumed to have slightly different lattice parameters and, possibly, a small relative rotation. This is a prototypical example of a three-dimensional system consisting of a graphene sheet suspended over a substrate. We use a discrete-to-continuum procedure to obtain the continuum model which recovers both qualitatively and quantitatively the behaviour observed in the corresponding discrete model. The continuum model predicts that the deformable lattice develops a network of domain walls characterized by large shearing, stretching and bending deformation that accommodates the misalignment and/or mismatch between the deformable and rigid lattices. Two integer-valued parameters, which can be identified with the components of a Burgers vector, describe the mismatch between the lattices and determine the geometry and the details of the deformation associated with the domain walls.

scholarly journals High-fidelity continuum modeling predicts avian voiced sound production

2020 ◽  
Vol 117 (9) ◽  
pp. 4718-4723
Author(s):  
Weili Jiang ◽  
Jeppe H. Rasmussen ◽  
Qian Xue ◽  
Ming Ding ◽  
Xudong Zheng ◽  
...  
Keyword(s):  
Continuum Model ◽  
Sound Production ◽  
Three Dimensional ◽  
High Fidelity ◽  
Terrestrial Vertebrates ◽  
Acoustic Performance ◽  
Tissue Material ◽  
Primary Form ◽  
The Continuum ◽  
Model Approach

Voiced sound production is the primary form of acoustic communication in terrestrial vertebrates, particularly birds and mammals, including humans. Developing a causal physics-based model that ultimately links descending vocal motor control to tissue vibration and sound requires embodied approaches that include realistic representations of voice physiology. Here, we first implement and then experimentally test a high-fidelity three-dimensional (3D) continuum model for voiced sound production in birds. Driven by individual-based physiologically quantifiable inputs, combined with noninvasive inverse methods for tissue material parameterization, our model accurately predicts observed key vibratory and acoustic performance traits. These results demonstrate that realistic models lead to accurate predictions and support the continuum model approach as a critical tool toward a causal model of voiced sound production.

scholarly journals THE SURFACE- AND SIZE-DEPENDENT ELASTIC MODULI OF NANOSTRUCTURES

2007 ◽  
Vol 14 (04) ◽  
pp. 667-670 ◽  
Author(s):  
JIAN-GANG GUO ◽  
YA-PU ZHAO
Keyword(s):  
Theoretical Model ◽  
Surface Energy ◽  
Continuum Model ◽  
Elastic Moduli ◽  
Three Dimensional ◽  
Surface Effects ◽  
Surface Relaxation ◽  
Size Dependent ◽  
Analytical Expressions

A theoretical model is presented to investigate the size-dependent elastic moduli of nanostructures with the effects of the surface relaxation surface energy taken into consideration. At nanoscale, due to the large ratios of the surface-to-volume, the surface effects, which include surface relaxation surface energy, etc., can play important roles. Thus, the elastic moduli of nanostructures become surface- and size-dependent. In the research, the three-dimensional continuum model of the nanofilm with the surface effects is investigated. The analytical expressions of five nonzero elastic moduli of the nanofilm are derived, and then the dependence of the elastic moduli is discussed on the surface effects and the characteristic dimensions of nanofilms.

FORMATION AND STABILITY OF A STRONG-COUPLING LARGE BIPOLARON IN THE LIGHTLY DOPED CUPRATES

2005 ◽  
Vol 19 (06) ◽  
pp. 1061-1064
Author(s):  
E. DUSHANOV ◽  
S. DZHUMANOV
Keyword(s):  
Ground State ◽  
Stability Region ◽  
Continuum Model ◽  
Adiabatic Approximation ◽  
Three Dimensional ◽  
Dielectric Constants ◽  
Coulomb Correlation ◽  
Ground State Energies ◽  
Broad Region ◽  
The Continuum

The ground-state energies of large polaron Ep and bipolaron EB in three-dimensional lightly doped cuprates are calculated variationally taking into account the short- and long-range electron-phonon interactions and Coulomb correlation in the continuum model and adiabatic approximation. The binding energy of a large bipolaron and its stability region are determined as a function of the ratio of dielectric constants η = ε∞/ε0. It is found that the large bipolaron is stable in a broad region of η.

Study on the Nonlinear Characteristic of a Rotor-Bearing System between the Continuum Model and Discrete Model

2009 ◽  
Vol 16-19 ◽  
pp. 851-855
Author(s):  
Chao Feng Li ◽  
Wei Sun ◽  
Chen Yi Liu ◽  
Bang Chun Wen
Keyword(s):  
Nonlinear Dynamic ◽  
Discrete Model ◽  
Continuum Model ◽  
Three Dimensional ◽  
Element Model ◽  
Significant Difference ◽  
Rotor Bearing ◽  
Comparison Of The Results ◽  
Bearing System ◽  
The Continuum

The nonlinear dynamic behavior of a rotor-bearing system is analyzed with its finite element model based on the analysis of the discrete model, with considering some other important influencing factors such as, material damping, gyroscopic effect, inertia distribution, shear effect and so on, which make the description of the system more embodiment avoiding the casualness of selection with system parameters. With the comparison of the results on the bifurcation map and three-dimensional spectrum, significant difference is appeared with the addition of the considered factors. It is suggested that the substitution of continuum model for the discrete ones can get more accurate and abundant results. Furthermore, these results can provide more accurate verification and reference for the experiment and nonlinear dynamic design of the complex rotor system.

Modeling of Ductile Damage and Fracture Behavior Based on Different Micromechanisms

2010 ◽  
Vol 20 (4) ◽  
pp. 558-577 ◽  
Author(s):  
Michael Brünig ◽  
Daniel Albrecht ◽  
Steffen Gerke
Keyword(s):  
Continuum Model ◽  
Failure Modes ◽  
Three Dimensional ◽  
Stress Triaxiality ◽  
Yield Condition ◽  
Lode Parameter ◽  
Material Parameters ◽  
Damage And Failure ◽  
Damage And Fracture ◽  
The Continuum

The article deals with the effect of stress triaxiality on the inelastic deformation behavior of aluminum alloys. The proposed continuum model takes into account stress triaxiality dependence of the yield condition as well as of the damage criterion and the fracture condition with different branches corresponding to various damage and failure modes depending on the stress triaxiality and the Lode parameter. Results of numerical cell simulations on the microscale are presented and corresponding identification of micromechanically motivated material parameters is discussed. Furthermore, numerical results of three-dimensional macromechanical finite element analyses are compared with experimental data obtained from smooth and pre-notched tension specimens. The analyses allow verification of the continuum model and identification of further material parameters.

scholarly journals A Numerical Study of Sub-Millisecond Integrated Mix-and-Inject Microfluidic Devices for Sample Delivery at Synchrotron and XFELs

2021 ◽  
Vol 11 (8) ◽  
pp. 3404
Author(s):  
Majid Hejazian ◽  
Eugeniu Balaur ◽  
Brian Abbey
Keyword(s):  
Molecular Dynamics ◽  
Flow Rate ◽  
Numerical Study ◽  
Three Dimensional ◽  
Microfluidic Devices ◽  
Liquid Jets ◽  
Mixing Efficiency ◽  
X Ray Diffraction ◽  
Cross Sectional ◽  
Time Required

Microfluidic devices which integrate both rapid mixing and liquid jetting for sample delivery are an emerging solution for studying molecular dynamics via X-ray diffraction. Here we use finite element modelling to investigate the efficiency and time-resolution achievable using microfluidic mixers within the parameter range required for producing stable liquid jets. Three-dimensional simulations, validated by experimental data, are used to determine the velocity and concentration distribution within these devices. The results show that by adopting a serpentine geometry, it is possible to induce chaotic mixing, which effectively reduces the time required to achieve a homogeneous mixture for sample delivery. Further, we investigate the effect of flow rate and the mixer microchannel size on the mixing efficiency and minimum time required for complete mixing of the two solutions whilst maintaining a stable jet. In general, we find that the smaller the cross-sectional area of the mixer microchannel, the shorter the time needed to achieve homogeneous mixing for a given flow rate. The results of these simulations will form the basis for optimised designs enabling the study of molecular dynamics occurring on millisecond timescales using integrated mix-and-inject microfluidic devices.

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