Random-walk model of cotransport

Yan B. Barreto, Béla Suki, and Adriano M. Alencar
Phys. Rev. E 102, 022403 – Published 10 August 2020
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Abstract

We present a statistical mechanical model to describe the dynamics of an arbitrary cotransport system. Our starting point was the alternating access mechanism, which suggests the existence of six states for the cotransport cycle. Then we determined the 14 transition probabilities between these states, including a leak pathway, and used them to write a set of Master Equations for describing the time evolution of the system. The agreement between the asymptotic behavior of this set of equations and the result obtained from thermodynamics is a confirmation that leakage is compatible with the static head equilibrium condition and that our model has captured the essential physics of cotransport. In addition, the model correctly reproduced the transport dynamics found in the literature.

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  • Received 19 December 2019
  • Accepted 15 July 2020

DOI:https://doi.org/10.1103/PhysRevE.102.022403

©2020 American Physical Society

Physics Subject Headings (PhySH)

Physics of Living SystemsStatistical Physics & Thermodynamics

Authors & Affiliations

Yan B. Barreto1, Béla Suki2, and Adriano M. Alencar1

  • 1Instituto de Física, Universidade de São Paulo, 05508-090 São Paulo, São Paulo, Brazil
  • 2Department of Biomedical Engineering, Boston University, Boston, Massachusetts 02215, USA

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Vol. 102, Iss. 2 — August 2020

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