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2010-Roberto_Munoz-Alicea-Mathematical Model for Enzyme Kinetics-Multiple Timescales Analysis

Author(s): Roberto Munoz-Alicea

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Keywords: kinetics Enzyme substrate nondimensionalization multiple timescales

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Abstract

Resource Image We study a basic model for enzyme substrate reaction. Through several assumptions and via nondimensionalization, we simplify the equations.

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Munoz-Alicea, Roberto. 2010.  A Mathematical Model for Enzyme Kinetics: Multiple Timescales Analysis. In Dynamics at the Horsetooth Volume 2A, 2010, Focused Issue: Asymptotics and Perturbations. 9 pages.

See https://www.math.colostate.edu/~shipman/47/volume2a2010/Munoz-Alicea.pdf . Accessed 28 March 2023.

Abstract: We summarize some of the work on enzyme kinetics presented by J. D. Murray in his Mathematical Biology I book. We study a basic model for enzyme substrate reaction. Through several assumptions and via nondimensionalization, we simplify the equations. Then we use a multiple timescales method to derive asymptotic solutions to the model.

Keywords: enzyme, substrate, multiple timescales

 

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Author(s): Roberto Munoz-Alicea

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