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Fingerprints of viscoelastic subdiffusion in random environments: Revisiting some experimental data and their
Igor Goychuk1, Thorsten Pöschel1
1Institute for Multiscale Simulation, Department of Chemical and Biological Engineering, Friedrich-Alexander University of Erlangen-Nürnberg, Cauerstr. 3, 91058 Erlangen, Germany.
Physical Review. E
|October 16, 2021
Summary
This study explains nanoparticle subdiffusion in complex biological environments. The viscoelastic subdiffusion approach, using generalized Langevin dynamics, better explains experimental findings than other theories.
Area of Science:
- Physics, Biophysics
- Materials Science
Background:
- Subdiffusion of nanoparticles is observed in complex biological environments like cytosol and plasma membranes.
- These environments exhibit viscoelasticity and inherent disorder, leading to complex diffusion patterns.
- Existing theories struggle to fully explain the observed subdiffusive behaviors.
Purpose of the Study:
- To propose and validate a theoretical framework for understanding nanoparticle subdiffusion in disordered, viscoelastic media.
- To demonstrate the efficacy of the viscoelastic subdiffusion approach in rationalizing experimental data.
- To compare the proposed model against previously established theories.
Main Methods:
- Utilizing generalized Langevin dynamics in random potentials to model particle movement.
- Incorporating viscoelastic properties and environmental disorder into the theoretical framework.
- Analyzing and comparing theoretical predictions with published experimental results.
Main Results:
- The viscoelastic subdiffusion approach provides a superior explanation for experimental findings compared to alternative theories.
- The model successfully integrates aspects of fractional Brownian motion and non-Markovian processes.
- Demonstrated that random potentials and viscoelasticity are key factors in subdiffusion.
Conclusions:
- The generalized Langevin dynamics model in random environments offers a robust explanation for nanoparticle subdiffusion.
- This approach reconciles ergodic and non-ergodic features observed in biological systems.
- Highlights the importance of considering both viscoelasticity and disorder for accurate diffusion modeling.

