Testing the adequacy of a simple theoretical model of dehydration optical clearing of collagen bundles: OCT measurements

2022 ◽  
Vol 52 (1) ◽  
pp. 48-55
Author(s):  
O A Zyuryukina ◽  
M E Shvachkina ◽  
V I Kochubey ◽  
Yu P Sinichkin ◽  
D A Yakovlev
Keyword(s):  
Theoretical Model ◽  
Mie Theory ◽  
Close Packing ◽  
Hydration Level ◽  
Cooperative Effects ◽  
Scattering Coefficients ◽  
Simple Theoretical Model ◽  
Empirical Law ◽  
Different Levels ◽  
Good Agreement

Abstract Using optical coherence tomography, the scattering coefficients of collagen bundles are estimated at different levels of tissue hydration. We test the validity of a simple theoretical model of dehydration changes in the optical characteristics of a collagen bundle, which is considered as a system of parallel cylinders that model the collagen fibrils forming the bundle. The characteristics of scattering by individual scatterers are calculated using the Mie theory. To take into account the cooperative effects caused by the close packing of the scatterers, use is made of the standard packing function for a system of identical cylinders. The theoretical model also relies on a certain empirical law of changes in the hydration level of fibrils with a change in the water content in the tissue, which predetermines changes in the diameter and refractive index of fibrils during dehydration and rehydration of the tissue. It is shown that the theoretical estimates obtained using this model are in good agreement with the experimental data, which makes it possible to consider this model as reliable.

A theoretical model to study melting of metals under pressure

2015 ◽  
Vol 29 (27) ◽  
pp. 1550161 ◽  
Author(s):  
Kuldeep Kholiya ◽  
Jeewan Chandra
Keyword(s):  
Experimental Data ◽  
Theoretical Model ◽  
Melting Temperature ◽  
Present Model ◽  
Melting Curve ◽  
Experimental Result ◽  
Thermal Equation ◽  
Simple Theoretical Model ◽  
Pressure Melting ◽  
Good Agreement

On the basis of the thermal equation-of-state a simple theoretical model is developed to study the pressure dependence of melting temperature. The model is then applied to compute the high pressure melting curve of 10 metals (Cu, Mg, Pb, Al, In, Cd, Zn, Au, Ag and Mn). It is found that the melting temperature is not linear with pressure and the slope [Formula: see text] of the melting curve decreases continuously with the increase in pressure. The results obtained with the present model are also compared with the previous theoretical and experimental data. A good agreement between theoretical and experimental result supports the validity of the present model.

Size and shape dependence of Debye temperature and Raman frequency of nanomaterials

2015 ◽  
Vol 29 (04) ◽  
pp. 1550004
Author(s):  
Raghuvesh Kumar ◽  
Sandhya Bhatt ◽  
Munish Kumar
Keyword(s):  
Experimental Data ◽  
Theoretical Model ◽  
Debye Temperature ◽  
Experimental Studies ◽  
Raman Frequency ◽  
Size And Shape ◽  
Shape Dependence ◽  
Simple Theoretical Model ◽  
Good Agreement

A simple theoretical model is developed to study the size and shape dependence of Debye temperature and Raman frequency of nanomaterial. We have studied the effect of size and shape on Debye temperature of nanocrystalline Fe , Co , Al and Ag . The model is extended to study the effect of size and shape on the Raman frequency of nanocrystalline SnO 2, CeO 2 and CdSe . The results obtained are compared with the available experimental data. A good agreement between the theory and experimental data supports the validity of the model developed. We also report the results for nanowire and nanofilm in the absence of experimental data, which may help the researchers engaged in the experimental studies.

High-Pressure Elastic Constant of Some Materials of Earth’s Mantle

2016 ◽  
Vol 71 (5) ◽  
pp. 433-437
Author(s):  
Quan Liu
Keyword(s):  
Experimental Data ◽  
High Pressure ◽  
Theoretical Model ◽  
Elastic Behaviour ◽  
Exponential Relationship ◽  
Earth’S Mantle ◽  
Simple Theoretical Model ◽  
Volume Dependence ◽  
Theoretical Investigations ◽  
Good Agreement

AbstractIn the present work, an exponential relationship for the volume dependence of the Anderson–Grüneisen parameter along isotherm and the formulation derived from Tallon’s model have been used to develop a simple theoretical model for the elastic constants as a function of pressure. Applying it to some materials of earth’s mantle at different pressure ranges, the calculated results are in good agreement with the earlier theoretical investigations and available experimental data and thus show that our theory can be applied for predicting the elastic behaviour of earth materials at high pressure.

scholarly journals Friction-induced heat generation between two particles

2021 ◽  
Vol 249 ◽  
pp. 05007
Author(s):  
Francisco Kisuka ◽  
Chuan-Yu Wu ◽  
Colin Hare
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Theoretical Model ◽  
Granular Materials ◽  
Heat Generation ◽  
Model Simulations ◽  
Simple Theoretical Model ◽  
Maximum Contact ◽  
Good Agreement ◽  
Element Method

Friction-induced heat generation, dissipation and the associated rise in temperature are still an intrinsic problem in many fields dealing with granular materials. This work presents preliminary attempts of modelling heat generation and estimating the contact flash temperatures with the use of a theoretical model. To check the robustness of this theoretical model simulations were run in parallel with Finite element method. The maximum contact temperatures obtained from the theoretical model show a good agreement with FEM results. The promising results imply that the simple theoretical model can be used accurately to predict heat generation in granular materials.

scholarly journals Progressive Matrix Cracking in Composite Laminates Loaded in Tension

1992 ◽  
Vol 1 (1) ◽  
pp. 096369359200100 ◽  
Author(s):  
J Zhang ◽  
J Fan ◽  
C Soutis
Keyword(s):  
Experimental Data ◽  
Theoretical Model ◽  
Crack Initiation ◽  
Composite Laminates ◽  
Matrix Cracking ◽  
Shear Lag ◽  
Simple Theoretical Model ◽  
Stiffness Properties ◽  
Progressive Matrix ◽  
Good Agreement

The reduction of stiffness properties due to transverse ply cracking in [μθ m/90 n] s laminates loaded in quasi-tension is examined theoretically. Predictions of a simple theoretical model based on a modified 2-D shear-lag analysis, are in good agreement with experimental data. The energy released as a result of matrix cracking is also calculated and used to predict crack initiation and multiplication.

Morphological Instability in Early Stages of Solidification of Pure Metals Part II: Experimental Analysis

2012 ◽  
Vol 445 ◽  
pp. 343-348 ◽  
Author(s):  
Faruk Yigit
Keyword(s):  
Theoretical Model ◽  
Experimental Analysis ◽  
Smooth Surface ◽  
Experimental Setup ◽  
Mold Surface ◽  
Morphological Instability ◽  
Simple Theoretical Model ◽  
Solidification Processes ◽  
Pure Metals ◽  
Good Agreement

A simple experimental setup has been used to investigate the morphological instability observed in many solidification processes. It is shown that the mold with smooth surface exhibits prominent thickness nonuniformities. Periodic grooves in the mold surface results in more uniform contact along the mold-shell interface, and therefore leads more uniform growth of the shell. Experimental results for the moving solidification front have also been compared to the results of a simple theoretical model introduced in Part I, and a good agreement has been obtained.

scholarly journals Laboratory Measurements of Light Scattering by Dust Particles

1996 ◽  
Vol 150 ◽  
pp. 409-413
Author(s):  
Patrick P. Combet ◽  
Philippe L. Lamy
Keyword(s):  
Light Scattering ◽  
Laser Beam ◽  
Mie Theory ◽  
Spherical Particles ◽  
Dust Particles ◽  
Laboratory Measurements ◽  
Scattering Function ◽  
Hene Laser ◽  
Set Up ◽  
Good Agreement

AbstractWe have set up an experimental device to optically study the scattering properties of dust particles. Measurements over the 8 — 174° interval of scattering angles are performed on a continuously flowing dust loaded jet illuminated by a polarized red HeNe laser beam. The scattering is averaged over the population of the dust particles in the jet, which can be determined independently, and give the “volume scattering function” for the two directions of polarization directly. While results for spherical particles are in good agreement with Mie theory, those for arbitrary particles show conspicuous deviations.

scholarly journals Incumbent and Entrant Bidding in Scoring Rule Auctions: A Study on Italian Canteen Services

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Riccardo Camboni ◽  
Paola Valbonesi
Keyword(s):  
Theoretical Model ◽  
Production Cost ◽  
Specific Information ◽  
Scoring Rule ◽  
The Public ◽  
Simple Theoretical Model ◽  
Original Dataset

AbstractWe empirically investigate incumbents’ and entrants’ bids on an original dataset of 192 scoring rule auctions for canteen services in Italy. Our findings show that winning rebates are lower (i.e., prices paid by the public buyer are higher) when the contract is awarded to the incumbent supplier. This result is not explained by the observable characteristics of the auction or the service awarded. We develop a simple theoretical model showing that the result is consistent with a setting in which the buyer exploits specific information on the incumbent supplier’s production cost.

scholarly journals Market Choices Driven by Reference Groups: A Comparison of Analytical and Simulation Results on Random Networks

Entropy ◽  
2021 ◽  
Vol 23 (8) ◽  
pp. 1007
Author(s):  
Michał Ramsza
Keyword(s):  
Theoretical Model ◽  
Reference Group ◽  
Third Party ◽  
Qualitative Behavior ◽  
Reference Groups ◽  
Group Influence ◽  
Simple Theoretical Model ◽  
High Connectivity ◽  
Simulation Results ◽  
Two Equilibria

The present paper reports simulation results for a simple model of reference group influence on market choices, e.g., brand selection. The model was simulated on three types of random graphs, Erdos–Renyi, Barabasi–Albert, and Watts–Strogatz. The estimates of equilibria based on the simulation results were compared to the equilibria of the theoretical model. It was verified that the simulations exhibited the same qualitative behavior as the theoretical model, and for graphs with high connectivity and low clustering, the quantitative predictions offered a viable approximation. These results allowed extending the results from the simple theoretical model to networks. Thus, by increasing the positive response towards the reference group, the third party may create a bistable situation with two equilibria at which respective brands dominate the market. This task is easier for large reference groups.

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