scholarly journals Fitting integrated enzyme rate equations to progress curves with the use of a weighting matrix

1991 ◽  
Vol 274 (2) ◽  
pp. 509-511 ◽  
Author(s):  
R Franco ◽  
J M Aran ◽  
E I Canela
Keyword(s):  
Kinetic Parameters ◽  
Adenosine Deaminase ◽  
Rate Equation ◽  
System Simulation ◽  
Rate Equations ◽  
Simulation Studies ◽  
Weighting Matrix

A method is presented for fitting the pairs of values product formed-time taken from progress curves to the integrated rate equation. The procedure is applied to the estimation of the kinetic parameters of the adenosine deaminase system. Simulation studies demonstrate the capabilities of this strategy. A copy of the FORTRAN77 program used can be obtained from the authors by request.

Kinetic modelling of microalgal growth and fucoxanthin synthesis in photobioreactor

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Xiaojuan Zhang ◽  
Junru Zhao ◽  
Jie Zhang ◽  
Shijing Su ◽  
Luqiang Huang ◽  
...  
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Kinetic Parameters ◽  
Kinetic Modelling ◽  
Inhibitory Effect ◽  
Rate Equations ◽  
Phosphorus Concentration ◽  
Model Output ◽  
Nitrogen And Phosphorus ◽  
Nitrogen Phosphorus

Abstract This paper presented a mathematical model to describe the production of fucoxanthin by alga Thalassiosira weissflogi ND-8 in photobioreactor. Our interest was focused on characterizing the effects of nitrogen and phosphorus on the growth of microalgae and on the synthesis of fucoxanthin. The rate equations of microalgal growth, fucoxanthin synthesis and substrate consumptions were formulated. Kinetic parameters of the model and their sensitivities with respect to model output were estimated. The predicted results were compared with experimental data, which showed that this model closely agrees with actual experiment and is able to reflect the growth and metabolism characteristics of microalgae. Our results also indicated that nitrogen plays a major role in the synthesis of fucoxanthin, and the synthesis of fucoxanthin is partially linearly related to the consumption of nitrogen. Phosphorus is primarily consumed in the growth and metabolism of microalgal cells, while excessive phosphorus concentration has an inhibitory effect on the growth of microalgae.

Modeling of Gas Turbine Combustors—A Convenient Reaction Rate Equation

1972 ◽  
Vol 94 (3) ◽  
pp. 173-180 ◽  
Author(s):  
D. Kretschmer ◽  
J. Odgers
Keyword(s):  
Rate Equation ◽  
Reaction Rate ◽  
Reaction Order ◽  
Bimolecular Reaction ◽  
Rate Equations ◽  
Combustion System ◽  
Wide Range ◽  
Simple Mass ◽  
Rich Mixtures ◽  
Reaction Rate Equation

In order to model a practical combustion system successfully, it is necessary to develop one or more reaction rate equations which will describe performance over a wide range of conditions. The equations should be kept as simple as possible and commensurate with the accuracy needed. In this paper a bimolecular reaction is assumed, based upon a simple mass balance. Temperatures derived from the latter are related to measured practical ones such that, if required, an evaluation of the partly burned product composition can be made. A convenient reaction rate equation is given which describes a wide range of blow-out data for spherical reactors at weak mixture conditions. NVP2φ={1.29×1010(m+1)[5(1−yε)]φ[φ−yε]φe−C/(Ti+εΔT)}/{0.082062φyε[5(m+1)+φ+yε]2φ[Ti+εΔT]2φ−0.5} Analysis of the components used in the above equation (especially the variation of activation energy) clearly shows its empirical nature but does not detract from its engineering value. Rich mixtures are considered also, but lack of data precludes a reliable analysis. One of the major results obtained is the variation of the reaction order (n) with equivalence ratio (φ): weak mixtures, n = 2φ; rich mixtures, n = 2/φ. Some support for this variation has been noticed in published literature of other workers.

Incorporating covalent and allosteric effects into rate equations: the case of muscle glycogen synthase

2014 ◽  
Vol 462 (3) ◽  
pp. 525-537 ◽  
Author(s):  
Daniel C. Palm ◽  
Johann M. Rohwer ◽  
Jan-Hendrik S. Hofmeyr
Keyword(s):  
Kinetic Parameters ◽  
Equilibrium Constant ◽  
Muscle Glycogen ◽  
Glycogen Synthase ◽  
Covalent Modification ◽  
Rate Equations ◽  
Phosphorylation State ◽  
Kinetics Of

The kinetics of muscle glycogen synthase in different phosphorylation states can be described with the same set of kinetic parameters by an adapted Monod–Wyman–Changeux equation in which covalent modification alters the T/R (taut/relaxed) equilibrium constant, L0. Only L0 depends on the phosphorylation state.

Study on Thermal Decomposition of AP/HTPB Base Bleed Propellant after Depressurization and Flameout Conditions

2013 ◽  
Vol 718-720 ◽  
pp. 191-195 ◽  
Author(s):  
Hui Shen ◽  
Yong Gang Yu ◽  
Xiao Chun Xue
Keyword(s):  
Thermal Decomposition ◽  
Kinetic Parameters ◽  
Differential Scanning Calorimeter ◽  
Rate Equation ◽  
Decomposition Rate ◽  
Experimental Results ◽  
Original Sample ◽  
Heating Rates ◽  
Base Bleed ◽  
Secondary Ignition

In order to analyze the characteristics of secondary ignition of AP/HTPB base bleed propellant, the quenched samples of AP/HTPB base bleed propellant are made under the condition of transient depressurization, and experiments on thermal decomposition of this micro sample are carried by means of differential scanning calorimeter (DSC). The experimental results are obtained under two heating rates of 20°C/min and 40°C/min. They are analyzed and compared with the original sample of AP/HTPB. The kinetic parameters are estimated according to thermal decomposition rate equation and thermograms.

scholarly journals Externally driven molecular ratchets on a periodic potential surface: a rate equations approach

2019 ◽  
Vol 21 (42) ◽  
pp. 23310-23319
Author(s):  
Hongqian Sang ◽  
David Abbasi-Pérez ◽  
José Manuel Recio ◽  
Lev Kantorovich
Keyword(s):  
Potential Energy ◽  
Potential Energy Surface ◽  
Rate Equation ◽  
Periodic Potential ◽  
Energy Surface ◽  
Potential Surface ◽  
Rate Equations ◽  
Time Dynamics ◽  
Long Time ◽  
Long Time Dynamics

The long time dynamics of molecular ratchets on a 1D periodic potential energy surface (PES) subjected to an external stimulus is studied using the rate equation method.

“Fast” and “Slow” Metastable Defects in a-Si:H

1993 ◽  
Vol 297 ◽  
Author(s):  
Liyou Yang ◽  
Liang-Fan Chen
Keyword(s):  
Rate Equation ◽  
Defect Density ◽  
Convincing Evidence ◽  
Experimental Results ◽  
Component Model ◽  
Rate Equations ◽  
Defect States ◽  
Defect Generation ◽  
Two Component ◽  
Different Characteristics

A two-step light soaking experiment at high and low intensities provided convincing evidence that defect generation and annealing in a-Si:H are controlled by defect states of different characteristics. We point out that the total defect density by itself cannot uniquely determine the state of material or be described by a single rate equation, even though it might be the only quantity that is experimentally measurable. A system of rate equations for all defect components, therefore, must be established in order to accurately describe the defect kinetics. A simple two-component model in which defects are categorized as “fast” or “slow” is shown to be adequate to explain a variety of experimental results in a consistent fashion.

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