Acta Biotheoretica

, Volume 63, Issue 3, pp 239–256 | Cite as

Modeling the Enzyme Kinetic Reaction

  • Abdon Atangana
Regular Article


The Enzymatic control reactions model was presented within the scope of fractional calculus. In order to accommodate the usual initial conditions, the fractional derivative used is in Caputo sense. The methodologies of the three analytical methods were used to derive approximate solution of the fractional nonlinear system of differential equations. Two methods use integral operator and the other one uses just an integral. Numerical results obtained exhibit biological behavior of real world problem.


Enzyme kinetic model Fractional derivative Analytical techniques 



The author will express his deepest thanks to the reviewers for their time spared to read and suggest changes to enhance the quality of this paper

Conflict of interest

There is no conflict of interest in this paper.


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Copyright information

© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  1. 1.Faculty of Natural and Agricultural Sciences, Institute for Groundwater StudiesUniversity of the Free StateBloemfonteinSouth Africa

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