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Protein charge transfer far from equilibrium: a theoretical perspective.

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This study introduces Pauli-master equations to model non-linear electron transfer in biological systems, providing new rules for chemical potentials in electron transfer chains.

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Area of Science:

  • Biophysics
  • Biochemistry
  • Theoretical Chemistry

Background:

  • Electron transfer (ET) across biological membranes or in bio-nano systems can involve potential differences exceeding 100 mV, falling outside linear response theory.
  • Understanding these non-linear ET processes is crucial for deciphering biological energy transduction and designing artificial systems.

Purpose of the Study:

  • To develop a theoretical framework, Pauli-master equations, to accurately describe protein-assisted electron transfer beyond linear response.
  • To investigate the impact of on-site blockade effects and non-linear local potentials on electron transfer dynamics.
  • To derive empirical rules for electron populations and chemical potentials in biological electron transfer chains.

Main Methods:

  • Formulation of Pauli-master equations based on Marcus theory of charge transfer, incorporating Kirchhoff's current law.
  • Inclusion of on-site blockade effects and non-linear local potential responses.
  • Analytical and numerical calculations of current-potential curves and electron populations for model systems and biological ET chains.
  • Validation of mean-field results using kinetic Monte Carlo simulations.

Main Results:

  • Demonstration of Pauli-master equations' ability to capture non-linear electron transfer phenomena.
  • Generation of current-potential curves and electron population distributions for multi-site systems.
  • Establishment of empirical rules governing electron populations and chemical potentials along biological electron transfer chains.
  • Confirmation of theoretical predictions through kinetic Monte Carlo simulations.

Conclusions:

  • Pauli-master equations provide a robust framework for studying non-linear electron transfer in biological and bio-nano systems.
  • The derived empirical rules offer valuable insights into the behavior of electron transfer chains.
  • Findings have implications for understanding biochemical processes and evolutionary strategies related to electron transfer.