Team:WLC-Milwaukee/Modeling

From 2014.igem.org

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Using the law of mass action the enzyme substrate complex, and product formation chemical equations, are separated into a set of differential equations. The MATLAB ode45 function is used to solve the set of differential equations over the given time span.
Using the law of mass action the enzyme substrate complex, and product formation chemical equations, are separated into a set of differential equations. The MATLAB ode45 function is used to solve the set of differential equations over the given time span.
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<h1>xynA at pH 7.3</h1>
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<h1>XynA at pH 7.3</h1>
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Revision as of 06:09, 17 October 2014

This code models Michaelis-Menten enzyme kinetics over a user inputted time duration. Product formation and enzyme-substrate complex formation are assumed irreversible. Initial concentrations of the E-S complex and product are assumed to be zero. And it does not account for the presence of inhibitors or activators. Using the law of mass action the enzyme substrate complex, and product formation chemical equations, are separated into a set of differential equations. The MATLAB ode45 function is used to solve the set of differential equations over the given time span.

XynA at pH 7.3


2:1 Substrate-Enzyme Concentration

As time progresses from 1 second to 15 seconds, the reaction moves to completion where almost all substrate has been catalyzed into product.

10:1 Substrate-Enzyme Concentration

As time progresses from 1 second to 15 seconds, the reaction moves to completion where almost all substrate has been catalyzed into product.

100:1 Substrate-Enzyme Concentration

As time progresses from 1 second to 15 seconds, the reaction moves to completion where almost all substrate has been catalyzed into product.

Increased Substrate Concentration at 15 Seconds

Despite the increase in substrate concentration with a constant enzyme conentration, all substrate was catalyzed into product in similar amounts of time.

DISCUSSION