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Brownian motion near an elastic cell membrane: A theoretical study
Abdallah Daddi-Moussa-Ider1,2, Stephan Gekle3
1Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, Universitätsstraße 1, 40225, Düsseldorf, Germany. ider@thphy.uni-duesseldorf.de.
The European Physical Journal. E, Soft Matter
|February 7, 2018
Summary
This study examines particle Brownian motion near living cells with elastic membranes. Elastic interfaces cause memory effects, leading to anomalous subdiffusion that eventually mimics a hard wall.
Area of Science:
- Biophysics
- Soft Matter Physics
- Computational Biology
Background:
- Elastic confinements are crucial in biological systems, influencing particle transport.
- Living cell membranes possess resistance to shear and bending, affecting particle dynamics.
- Understanding particle behavior near cells is key to biological transport phenomena.
Purpose of the Study:
- To review and analyze the Brownian motion of particles near a living cell.
- To investigate the impact of cell membrane elasticity on particle transport.
- To explore memory effects and anomalous diffusion induced by elastic interfaces.
Main Methods:
- Analytical calculations of frequency-dependent mobility functions.
- Application of the fluctuation-dissipation theorem.
- Validation and supplementation using boundary-integral simulations.
Main Results:
- Elastic interfaces introduce memory effects, causing anomalous subdiffusion.
- The system exhibits a long-lived subdiffusive regime for nearby particles.
- In the steady limit, diffusion approaches that of a no-slip hard wall.
Conclusions:
- Cell membrane elasticity significantly alters particle transport, inducing anomalous diffusion.
- The findings provide insights into particle dynamics in biological environments.
- Analytical and simulation methods confirm the predicted behaviors.
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