Mathematical Modeling of the Kinetics of Counter Diffusion During the Formation of Boron-Containing Coatings on Steels

2020 ◽  
pp. 275-284
Author(s):  
A. S. Borsyakov ◽  
V. A. Yuryev ◽  
V. V. Ozyerelyev ◽  
E. V. Levchenko
Keyword(s):  
Mathematical Modeling ◽  
Kinetics Of ◽  
Counter Diffusion

Mathematical modeling of hot-air drying kinetics of red bell pepper (var. Lamuyo)

2007 ◽  
Vol 79 (4) ◽  
pp. 1460-1466 ◽  
Author(s):  
A. Vega ◽  
P. Fito ◽  
A. Andrés ◽  
R. Lemus
Keyword(s):  
Mathematical Modeling ◽  
Drying Kinetics ◽  
Bell Pepper ◽  
Hot Air Drying ◽  
Air Drying ◽  
Hot Air ◽  
Kinetics Of

Mathematical Modeling of Controlled-Release Kinetics of Herbicides in a Dynamic-Water-Bath System

2001 ◽  
pp. 563-574
Author(s):  
Félix M. Pereira ◽  
Adilson R. Gonçalves ◽  
André Ferraz ◽  
Flávio T. Silva ◽  
Samuel C. Oliveira
Keyword(s):  
Mathematical Modeling ◽  
Controlled Release ◽  
Release Kinetics ◽  
Water Bath ◽  
Kinetics Of

Desorption isotherms and mathematical modeling of thin layer drying kinetics of tomato

2015 ◽  
Vol 52 (3) ◽  
pp. 407-419 ◽  
Author(s):  
Amira Belghith ◽  
Soufien Azzouz ◽  
Afif ElCafsi
Keyword(s):  
Mathematical Modeling ◽  
Thin Layer ◽  
Drying Kinetics ◽  
Thin Layer Drying ◽  
Desorption Isotherms ◽  
Kinetics Of

scholarly journals Simulating Reversibility of Dense Core Vesicles Capture in En Passant Boutons: Using Mathematical Modeling to Understand the Fate of Dense Core Vesicles in En Passant Boutons

2018 ◽  
Vol 140 (5) ◽  
Author(s):  
I. A. Kuznetsov ◽  
A. V. Kuznetsov
Keyword(s):  
Mathematical Modeling ◽  
Steady State ◽  
Nerve Terminal ◽  
Dense Core ◽  
Reasonable Assumption ◽  
Nerve Terminals ◽  
Dense Core Vesicles ◽  
Type Iii ◽  
Capture And Release ◽  
Kinetics Of

The goal of this paper is to use mathematical modeling to investigate the fate of dense core vesicles (DCVs) captured in en passant boutons located in nerve terminals. One possibility is that all DCVs captured in boutons are destroyed, another possibility is that captured DCVs can escape and reenter the pool of transiting DCVs that move through the boutons, and a third possibility is that some DCVs are destroyed in boutons, while some reenter the transiting pool. We developed a model by applying the conservation of DCVs in various compartments composing the terminal, to predict different scenarios that emerge from the above assumptions about the fate of DCVs captured in boutons. We simulated DCV transport in type Ib and type III terminals. The simulations demonstrate that, if no DCV destruction in boutons is assumed and all captured DCVs reenter the transiting pool, the DCV fluxes evolve to a uniform circulation in a type Ib terminal at steady-state and the DCV flux remains constant from bouton to bouton. Because at steady-state the amount of captured DCVs is equal to the amount of DCVs that reenter the transiting pool, no decay of DCV fluxes occurs. In a type III terminal at steady-state, the anterograde DCV fluxes decay from bouton to bouton, while retrograde fluxes increase. This is explained by a larger capture efficiency of anterogradely moving DCVs than of retrogradely moving DCVs in type III boutons, while the captured DCVs that reenter the transiting pool are assumed to be equally split between anterogradely and retrogradely moving components. At steady-state, the physiologically reasonable assumption of no DCV destruction in boutons results in the same number of DCVs entering and leaving a nerve terminal. Because published experimental results indicate no DCV circulation in type III terminals, modeling results suggest that DCV transport in these type III terminals may not be at steady-state. To better understand the kinetics of DCV capture and release, future experiments in type III terminals at different times after DCV release (molting) may be proposed.

Mathematical Modeling of Microstructure Evolution of V Steels during Hot Rolling of Seamless Tubes

2010 ◽  
Vol 638-642 ◽  
pp. 2537-2542
Author(s):  
Ricardo Nolasco Carvalho ◽  
Marcelo A.C. Ferreira ◽  
Dagoberto Brandão Santos ◽  
Ronaldo Barbosa
Keyword(s):  
Mathematical Modeling ◽  
Microstructure Evolution ◽  
Hot Rolling ◽  
Rolling Mill ◽  
Transfer Time ◽  
Tube Rolling ◽  
Rolling Industry ◽  
Size Evolution ◽  
The Mathematical Model ◽  
Kinetics Of

Torsion and compression testing have been used to simulate microstructure evolution of industry processes. Additionally, mathematical modeling of the industry hot rolling processes has been carried out by several researchers. These models employed equations published in the literature describing kinetics of softening, grain size evolution and grain growth. Validation of the models was carried, in some cases, by comparing the microstructure or the average stress per pass, the latter as calculated from industry rolling mill loads. In the present work, torsion simulation and industry trial results were used to validate the mathematical model presented. Equations used in the model were mostly taken from literature and appropriate modifications were implemented concerning basically two points: a) the transfer time between CMM and SRM, a step in the production line typical for seamless rolling and rather unusual for other industry rolling processes and b) the chemical composition used in tube rolling industry where C equivalent values are usually higher than those used in the rolling of flats.

Novel methods of processing cement gel to examine and control microstructure and properties

1983 ◽  
Vol 310 (1511) ◽  
pp. 155-166 ◽  
Keyword(s):  
Surface Tension ◽  
Compressive Strength ◽  
Pore Water ◽  
Diffusion Rate ◽  
Exchange Process ◽  
Hydrated Cement ◽  
Diffusion Rates ◽  
And Control ◽  
Kinetics Of ◽  
Counter Diffusion

The microstructure of the gel produced by hydrating cement is sensitive to the manner in which the original pore water is removed. Exchange of the pore water with a miscible, low surface-tension fluid by a process of counter-diffusion is examined. Diffusion rates in the hydrated cement can be assessed from the kinetics of the exchange process. Evaporation of the low surface-tension fluid from the pores caused less alteration to the microstructure than direct removal of the original pore water. The sensitivity of the microstructure of hydrated cement to normal environmental drying is industrially significant because it is associated with increases in diffusion rates that could affect the durability of concrete. Drying lowered the correlation between diffusion rate and compressive strength. Possible methods of processing the cement gel to make it more resistant to the disruptive effects of drying are discussed.

Kinetics of the acid-catalyzed hydrolysis of tetraethoxysilane (TEOS) by 29Si NMR spectroscopy and mathematical modeling

2018 ◽  
Vol 86 (2) ◽  
pp. 316-328 ◽  
Author(s):  
J. C. Echeverría ◽  
P. Moriones ◽  
G. Arzamendi ◽  
J. J. Garrido ◽  
M. J. Gil ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Nmr Spectroscopy ◽  
29Si Nmr ◽  
Acid Catalyzed ◽  
Kinetics Of ◽  
Hydrolysis Of ◽  
29Si Nmr Spectroscopy

Kinetics of bile salt binding to liposomes revealed by carboxyfluorescein release and mathematical modeling

2012 ◽  
Vol 22 (3) ◽  
pp. 237-244 ◽  
Author(s):  
Peter Hinow ◽  
Ami Radunskaya ◽  
Ian Tucker ◽  
Lin Yang
Keyword(s):  
Mathematical Modeling ◽  
Bile Salt ◽  
Carboxyfluorescein Release ◽  
Kinetics Of
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