scholarly journals Approach to the Steady State in Kinetic Models with Thermal Reservoirs at Different Temperatures

2018 ◽  
Vol 172 (2) ◽  
pp. 522-543 ◽  
Author(s):  
E. A. Carlen ◽  
R. Esposito ◽  
J. L. Lebowitz ◽  
R. Marra ◽  
C. Mouhot
2019 ◽  
Vol 292 ◽  
pp. 01025
Author(s):  
Michaela Mikuličová ◽  
Vladimír Vašek ◽  
Vojtěch Křesálek

In this paper, steady-state fluorescence spectroscopy is used to investigate the curing of two-component epoxy resin LG 285. Moreover, the process of curing is mathematically described. The mixture of resin and hardener HG 287 is measured at five different temperatures (50 °C, 60 °C, 70 °C, 80 °C and 90 °C) for five and a half hours. The results indicate that the process of curing of epoxy resin decelerates with time and accelerates with increasing temperature. Furthermore, the energy of the barrier is calculated.


1986 ◽  
Vol 250 (4) ◽  
pp. C646-C650 ◽  
Author(s):  
S. R. Shorofsky ◽  
M. Field ◽  
H. A. Fozzard

Na-selective microelectrodes were employed to investigate the mechanism of Cl secretion by canine tracheal epithelium. In control tissues with a mean short-circuit current (Isc) of 30.1 microA/cm2, the intracellular Na activity (aiNa) was 10.7 mM. Following steady-state stimulation of Cl secretion with epinephrine (Isc = 126.4 microA/cm2), aiNa was 21.3 mM. These data indicate that there is sufficient energy in the Na gradient to drive Cl secretion by this tissue. When analyzed with simple kinetic models for the Na-K pump, they also suggest that the basolateral entry step involves the Na-K-2Cl cotransporter.


2000 ◽  
Vol 66 (11) ◽  
pp. 4790-4797 ◽  
Author(s):  
Axel Fey ◽  
Ralf Conrad

ABSTRACT Temperature is an important factor controlling CH4production in anoxic rice soils. Soil slurries, prepared from Italian rice field soil, were incubated anaerobically in the dark at six temperatures of between 10 to 37°C or in a temperature gradient block covering the same temperature range at intervals of 1°C. Methane production reached quasi-steady state after 60 to 90 days. Steady-state CH4 production rates increased with temperature, with an apparent activation energy of 61 kJ mol−1. Steady-state partial pressures of the methanogenic precursor H2 also increased with increasing temperature from <0.5 to 3.5 Pa, so that the Gibbs free energy change of H2 plus CO2-dependent methanogenesis was kept at −20 to −25 kJ mol of CH4 −1 over the whole temperature range. Steady-state concentrations of the methanogenic precursor acetate, on the other hand, increased with decreasing temperature from <5 to 50 μM. Simultaneously, the relative contribution of H2 as methanogenic precursor decreased, as determined by the conversion of radioactive bicarbonate to 14CH4, so that the carbon and electron flow to CH4 was increasingly dominated by acetate, indicating that psychrotolerant homoacetogenesis was important. The relative composition of the archaeal community was determined by terminal restriction fragment length polymorphism (T-RFLP) analysis of the 16S rRNA genes (16S rDNA). T-RFLP analysis differentiated the archaeal Methanobacteriaceae,Methanomicrobiaceae, Methanosaetaceae,Methanosarcinaceae, and Rice clusters I, III, IV, V, and VI, which were all present in the rice field soil incubated at different temperatures. The 16S rRNA genes of Rice cluster I andMethanosaetaceae were the most frequent methanogenic groups. The relative abundance of Rice cluster I decreased with temperature. The substrates used by this microbial cluster, and thus its function in the microbial community, are unknown. The relative abundance of acetoclastic methanogens, on the other hand, was consistent with their physiology and the acetate concentrations observed at the different temperatures, i.e., the high-acetate-requiring Methanosarcinaceae decreased and the more modest Methanosaetaceae increased with increasing temperature. Our results demonstrate that temperature not only affected the activity but also changed the structure and the function (carbon and electron flow) of a complex methanogenic system.


1971 ◽  
Vol 38 (2) ◽  
pp. 538-540 ◽  
Author(s):  
J.-M. Chern

Optimal design of an elastic rod for given total elongation is discussed when both the axial loads and the steady-state temperature field in the rod depend on the design. Numerical results are presented for a rod that carries a given mass at the tip and rotates about an axis through the root that is perpendicular to the axis of the rod, while tip and root are kept at different temperatures and the lateral surface of the rod is thermally insulated.


1965 ◽  
Vol 43 (4) ◽  
pp. 896-912 ◽  
Author(s):  
R. M. Barrer ◽  
D. Nicholson

The steady-state slip flow of the rare gases (He, Ne, Ar, Kr, and Xe) and of propane, CO2, and SO2 has been studied at different temperatures in long, single glass capillaries. The results give values of viscosity which are in agreement with literature values when Ar is used as a calibrating gas. The results can be expressed as a linear plot of the non-dimensional permeability ratio K/K0 against reciprocal Knudsen number; the intercept on the K/K0 axis is a. The value of this intercept depends on both gas and temperature being higher for light gases and high temperatures than for more condensable gases and low temperatures. The parameter a is therefore replaced by ((2 – β)/β)a1 where (1 – β) is the so-called specular reflection coefficient and a1 is a constant. The factors affecting (1 – β) have been discussed. It is suggested that contributions to (1 – β) will arise both from elastically and from inelastically scattered molecules, and the magnitude of these contributions is assessed in terms of the properties of the gas and the surface. The expression finally obtained is compared with experimental values of (1 – β).


2018 ◽  
Author(s):  
Tuure Hameri ◽  
Georgios Fengos ◽  
Meric Ataman ◽  
Ljubisa Miskovic ◽  
Vassily Hatzimanikatis

AbstractLarge-scale kinetic models are used for designing, predicting, and understanding the metabolic responses of living cells. Kinetic models are particularly attractive for the biosynthesis of target molecules in cells as they are typically better than other types of models at capturing the complex cellular biochemistry. Using simpler stoichiometric models as scaffolds, kinetic models are built around a steady-state flux profile and a metabolite concentration vector that are typically determined via optimization. However, as the underlying optimization problem is underdetermined, even after incorporating available experimental omics data, one cannot uniquely determine the operational configuration in terms of metabolic fluxes and metabolite concentrations. As a result, some reactions can operate in either the forward or reverse direction while still agreeing with the observed physiology. Here, we analyze how the underlying uncertainty in intracellular fluxes and concentrations affects predictions of constructed kinetic models and their design in metabolic engineering and systems biology studies. To this end, we integrated the omics data of optimally grownEscherichia coliinto a stoichiometric model and constructed populations of non-linear large-scale kinetic models of alternative steady-state solutions consistent with the physiology of theE. coliaerobic metabolism. We performed metabolic control analysis (MCA) on these models, highlighting that MCA-based metabolic engineering decisions are strongly affected by the selected steady state and appear to be more sensitive to concentration values rather than flux values. To incorporate this into future studies, we propose a workflow for moving towards more reliable and robust predictions that are consistent with all alternative steady-state solutions. This workflow can be applied to all kinetic models to improve the consistency and accuracy of their predictions. Additionally, we show that, irrespective of the alternative steady-state solution, increased activity of phosphofructokinase and decreased ATP maintenance requirements would improve cellular growth of optimally grownE. coli.


2019 ◽  
Vol 2019 ◽  
pp. 1-12 ◽  
Author(s):  
M. Ortiz-Domínguez ◽  
O. A. Gómez-Vargas ◽  
G. Ares de Parga ◽  
G. Torres-Santiago ◽  
R. Velázquez-Mancilla ◽  
...  

An indispensable tool to choose the suitable process parameters for obtaining boride layer of an adequate thickness is the modeling of the boriding kinetics. In this work, two mathematical approaches were used in order to determine the value of activation energy in the Fe2B layers on ASTM A36 steel during the iron powder-pack boriding in the temperature range of 1123–1273 K for treatment times between 2 and 8 h. The first approach was based on the mass balance equation at the interface (Fe2B/substrate) and the solution of Fick’s second law under steady state (without time dependent). The second approach was based on the same mathematical principles as the first approach for one-dimensional analysis under non-steady-state condition. The measurements of the thickness (Fe2B), for different temperatures of boriding, were used for calculations. As a result, the boron activation energy for the ASTM A36 steel was estimated as 161 kJ·mol−1. This value of energy was compared between both models and with other literature data. The Fe2B layers grown on ASTM A36 steel were characterized by use of the following experimental techniques: X-ray diffraction (XRD), scanning electron microscopy (SEM), and energy dispersive X-ray Spectroscopy (EDS). Finally, the experimental value of Fe2B layer’s thickness obtained at 1123 K with an exposure time of 2.5 h was compared with the predicted thicknesses by using these two approaches. A good concordance was achieved between the experimental data and the simulated results.


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