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New trends and perspectives in nonlinear intracellular dynamics: one century from Michaelis–Menten paper

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Abstract

One century after the seminal work by Leonor Michaelis and Maud Menten devoted to the theoretical study of the enzymatic reactions, in this paper, we give an overview of the most recent trends concerning the mathematical modeling of several enzymatic mechanisms, focusing on its asymptotic analysis, which needs the use of advanced mathematical tools, such as center manifold theory, normal forms, and bifurcation theory. Moreover, we present some perspectives, linking the models here presented with similar models, arising from different research fields.

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Authors and Affiliations

  1. Dipartimento SBAI, Sapienza University, via A. Scarpa 14, 00161, Rome, Italy

    Alberto M. Bersani

  2. Laboratorio di Strutture e Materiali Intelligenti, Sapienza University, Palazzo Caetani - Via San Pasquale s.n.c., 04012, Cisterna di Latina, LT, Italy

    Enrico Bersani

  3. Ministero dell’Istruzione dell’Università e della Ricerca, viale Trastevere 76/a, 00153, Rome, Italy

    Guido Dell’Acqua

  4. Department of Information Engineering, University of Padova, Via Gradenigo 6/B, 35131, Padua, Italy

    Morten G. Pedersen

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Communicated by Francesco dell'Isola and Giuseppe Piccardo.

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Bersani, A.M., Bersani, E., Dell’Acqua, G. et al. New trends and perspectives in nonlinear intracellular dynamics: one century from Michaelis–Menten paper. Continuum Mech. Thermodyn. 27, 659–684 (2015). https://doi.org/10.1007/s00161-014-0367-4

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