We summarize some recent results concerning the study of the asymptotic properties of four important enzyme reactions, which are ubiquitous in every intracellular enzyme reaction network. Mainly following the fundamental ideas by Nayfeh, after ad hoc adimensionalizations, we apply classical singular perturbation techniques in order to determine the matched expansions of the solutions, in terms of a suitable parameter, up to the first order. We show some numerical results, for the different mechanisms and different parameter values.
CITATION STYLE
Bersani, A. M., Borri, A., Milanesi, A., Tomassetti, G., & Vellucci, P. (2020). Singular Perturbation Techniques and Asymptotic Expansions for Some Complex Enzyme Reactions. In Nonlinear Dynamics of Structures, Systems and Devices - Proceedings of the 1st International Nonlinear Dynamics Conference, NODYCON 2019 (pp. 43–53). Springer Nature. https://doi.org/10.1007/978-3-030-34713-0_5
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