Enzyme reactions in reverse micelles

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.

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A kinetic analysis of coupled sequential enzyme reactions

10.26434/chemrxiv.5746065.v2 ◽

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>

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A kinetic analysis of coupled sequential enzyme reactions

10.26434/chemrxiv.5746065.v1 ◽

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>

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