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Subdiffusive-Brownian crossover in membrane proteins: a generalized Langevin equation-based approach

Biophysical Journal, vol. 120, pp. 4722–4737

Abstract

In this work, we propose a generalized Langevin equation-based model to describe the lateral diffusion of a protein in a lipid bilayer. The memory kernel is represented in terms of a viscous (instantaneous) and an elastic (noninstantaneous) component modeled through a Dirac δ function and a three-parameter Mittag-Leffler type function, respectively. By imposing a specific relationship between the parameters of the three-parameter Mittag-Leffler function, the different dynamical regimes-namely ballistic, subdiffusive, and Brownian, as well as the crossover from one regime to another-are retrieved. Within this approach, the transition time from the ballistic to the subdiffusive regime and the spectrum of relaxation times underlying the transition from the subdiffusive to the Brownian regime are given. The reliability of the model is tested by comparing the mean-square displacement derived in the framework of this model and the mean-square displacement of a protein diffusing in a membrane calculated through molecular dynamics simulations.

Authors 3

  1. RWTH Aachen University · Forschungszentrum Jülich

    Affiliation as printed

    Department of Physics, Faculty of Mathematics, Computer Science and Natural Sciences, Aachen University, Aachen, Germany; Computational Biomedicine, Institute of Neuroscience and Medicine INM-9 and Institute for Advanced Simulations IAS-5, Forschungszentrum Jülich, Jülich, Germany. Electronic address: l.di.cairano@fz-juelich.de

    Computational Biomedicine, Institute of Neuroscience and Medicine INM-9 and Institute for Advanced Simulations IAS-5, Forschungszentrum Jülich, Jülich, Germany

    Department of Physics, Faculty of Mathematics, Computer Science and Natural Sciences, Aachen University, Aachen, Germany

  2. RWTH Aachen University

    Affiliation as printed

    Applied and Computational Mathematics, Department of Mathematics, RWTH Aachen University, Aachen, Germany. Electronic address: best@acom.rwth-aachen.de

    Applied and Computational Mathematics, Department of Mathematics, RWTH Aachen University, Aachen, Germany

  3. Forschungszentrum Jülich

    Affiliation as printed

    Computational Biomedicine, Institute of Neuroscience and Medicine INM-9 and Institute for Advanced Simulations IAS-5, Forschungszentrum Jülich, Jülich, Germany. Electronic address: v.calandrini@fz-juelich.de

    Computational Biomedicine, Institute of Neuroscience and Medicine INM-9 and Institute for Advanced Simulations IAS-5, Forschungszentrum Jülich, Jülich, Germany

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References 87