Abstract
Dynamics of population growth or enzyme kinetics do not follow a constant rate making them difficult to quantify. Therefore, a single measure of dynamics is desired to profile the kinetic activities of enzymes with respect to various substrates. In this work, we use a growth model to model enzyme kinetics and provide a measure for kinetic activity based on the model parameters. This growth model, named the a − m model, has been fitted on nonlinear growth data of populations including bacterial colonies and longitudinal growth data of a human male. We apply the a − m growth model to fit and interpret the publicly available protease kinetic data provided by the developers of the protease activity analysis(PAA) toolkit. The results are summarized and interpreted using a growth coordinate system on an xy− plane.
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Title
Fitting and measuring kinetics using the a-m growth model
Description
Protease kinetics is modeled as weighted sums of continued fraction of linear dynamics. This tool implemented using Python programming language uses a simple algebraic governing equation. This algebraic equation can also be interpreted as continued fraction of straight lines. gen_curve_fitting.py contains all the relevant functions that are needed to fit the model on data. Fitting procedure is provided in the README.md file itself.
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