A logarithmic approximation to initial rates of enzyme reactions

2003 ◽  
Vol 316 (1) ◽  
pp. 58-65 ◽  
Author(s):  
Wei-Ping Lu ◽  
Lin Fei
Keyword(s):  
Logarithmic Approximation ◽  
Enzyme Reactions

Modeling Trienzyme Biosensor at Internal Diffusion Limitation

2004 ◽  
Vol 9 (2) ◽  
pp. 139-144 ◽  
Author(s):  
J. Kulys
Keyword(s):  
Immobilized Enzymes ◽  
Internal Diffusion ◽  
Significant Response ◽  
Diffusion Limitation ◽  
Enzyme Reactions ◽  
Substrate Conversion ◽  
Apparent Stability ◽  
Biosensor Response

A model of biosensor containing three immobilized enzymes utilizing consecutive substrate conversion in the chain was developed. The modeling was performed at an internal diffusion limitation and a steadystate condition. The calculations showed that significant response of biosensors was produced if diffusion modules were larger than 1 for all enzyme reactions. Due to diffusion limitation the apparent stability of biosensor response increased many times in comparison to stability of the most labile enzyme of the chain.

A kinetic analysis of coupled sequential enzyme reactions

2018 ◽  
Author(s):  
Justin Eilertsen ◽  
Santiago Schnell
Keyword(s):  
Enzyme Assay ◽  
Sequential Reaction ◽  
Enzyme Reactions ◽  
Indicator Reaction ◽  
Single Substrate ◽  
Complex Sequences ◽  
Catalyzed Reactions ◽  
Enzyme Catalyzed Reactions ◽  
Single Enzyme

<div>As a case study, we consider a coupled enzyme assay of sequential enzyme reactions obeying the Michaelis--Menten reaction mechanism. The sequential reaction consists of a single-substrate, single-enzyme non-observable reaction followed by another single-substrate, single-enzyme observable reaction (indicator reaction). In this assay, the product of the non-observable reaction becomes the substrate of the indicator reaction. A mathematical analysis of the reaction kinetics is performed, and it is found that after an initial fast transient, the sequential reaction is described by a pair of interacting Michaelis--Menten equations. Timescales that approximate the respective lengths of the indicator and non-observable reactions, as well as conditions for the validity of the Michaelis--Menten equations are derived. The theory can be extended to deal with more complex sequences of enzyme catalyzed reactions.</div>

A kinetic analysis of coupled sequential enzyme reactions

2018 ◽  
Author(s):  
Justin Eilertsen ◽  
Santiago Schnell
Keyword(s):  
Enzyme Assay ◽  
Sequential Reaction ◽  
Enzyme Reactions ◽  
Indicator Reaction ◽  
Single Substrate ◽  
Complex Sequences ◽  
Catalyzed Reactions ◽  
Enzyme Catalyzed Reactions ◽  
Single Enzyme

<div>As a case study, we consider a coupled enzyme assay of sequential enzyme reactions obeying the Michaelis-Menten reaction mechanism. The sequential reaction consists of a single-substrate, single enzyme non-observable reaction followed by another single-substrate, single enzyme observable reaction (indicator reaction). In this assay, the product of the non-observable reaction becomes the substrate of the indicator reaction. A mathematical analysis of the reaction kinetics is performed, and it is found that after an initial fast transient, the sequential reaction is described by a pair of interacting Michaelis-Menten equations. Timescales that approximate the respective lengths of the indicator and non-observable reactions, as well as conditions for the validity of the Michaelis-Menten equations are derived. The theory can be extended to deal with more complex sequences of enzyme catalyzed reactions.</div>

scholarly journals KINETIC ANALYSIS OF ENZYME REACTIONS

1953 ◽  
Vol 200 (2) ◽  
pp. 669-682 ◽  
Author(s):  
J.F. Kachmar ◽  
P.D. Boyer
Keyword(s):  
Kinetic Analysis ◽  
Enzyme Reactions

scholarly journals Rise of the DIS structure function FL at small x caused by double-logarithmic corrections

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
B. I. Ermolaev ◽  
S. I. Troyan
Keyword(s):  
Structure Function ◽  
Present Calculation ◽  
Synergic Effect ◽  
Logarithmic Approximation ◽  
Logarithmic Corrections ◽  
Small X

Abstract We present calculation of FL in the double-logarithmic approximation (DLA) and demonstrate that the synergic effect of the factor 1/x from the $$ {\alpha}_s^2 $$ α s 2 -order and the steep x-dependence of the totally resummed double logarithmic contributions of higher orders ensures the power-like rise of FL at small x and arbitrary Q2.

scholarly journals Exact summation of leading logs around $$ T\overline{T} $$ deformation of O(N + 1)-symmetric 2D QFTs

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Jonas Linzen ◽  
Maxim V. Polyakov ◽  
Kirill M. Semenov-Tian-Shansky ◽  
Nika S. Sokolova
Keyword(s):  
Irrelevant Dimension ◽  
Scattering Amplitude ◽  
Exact Result ◽  
Logarithmic Approximation ◽  
Exact Summation

Abstract We consider a general (beyond $$ T\overline{T} $$ T T ¯ ) deformation of the 2D O(N + 1) σ-model by the irrelevant dimension-four operators. The theory deformed in this most general way is not integrable, and the S-matrix loses its factorization properties. We perform the all-order summation of the leading infrared logs for the 2 → 2 scattering amplitude and provide the exact result for the 2 → 2 S-matrix in the leading logarithmic approximation. These results can provide us with new insights into the properties of the theories deformed by irrelevant operators more general than the $$ T\overline{T} $$ T T ¯ deformation.

scholarly journals Enzyme-Reactions under High Pressure

Kobunshi ◽  
1974 ◽  
Vol 23 (6) ◽  
pp. 431-434,444
Author(s):  
Keizo SUZUKI ◽  
Yoshihiro TANIGUCHI
Keyword(s):  
High Pressure ◽  
Enzyme Reactions
Sign in / Sign up

Export Citation Format

Share Document