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Narrow Pore Crossing of Active Particles under Stochastic Resetting.
Weitao Zhang1, Yunyun Li1, Fabio Marchesoni1,2
1Center for Phononics and Thermal Energy Science, Shanghai Key Laboratory of Special Artificial Microstructure Materials and Technology, School of Physics Science and Engineering, Tongji University, Shanghai 200092, China.
Entropy (Basel, Switzerland)
|February 25, 2023
Summary
We modeled a biochemical activation process using self-propelling particles. Stochastic resetting aids activation, especially when particles diffuse near the boundary.
Area of Science:
- Biophysics
- Chemical Physics
- Computational Biology
Background:
- Biochemical activation processes are crucial in biological systems.
- Modeling particle dynamics in confined spaces is essential for understanding cellular mechanisms.
- The role of particle correlation times and stochastic resetting in activation is not fully understood.
Purpose of the Study:
- To develop a two-dimensional model for biochemical activation.
- To investigate the influence of particle correlation times and stochastic resetting on activation.
- To analyze particle mean-first exit times in a circular cavity with a receptor.
Main Methods:
- A two-dimensional model of self-propelling particles in a circular cavity.
- Numerical computation of particle mean-first exit times.
- Analysis of particle behavior based on correlation and injection time constants.
Main Results:
- Exit times depend on the orientation of particle velocity due to receptor asymmetry.
- Stochastic resetting enhances activation for large particle correlation times.
- Particle diffusion predominantly occurs at the cavity boundary under specific conditions.
Conclusions:
- The model provides insights into biochemical activation mechanisms.
- Stochastic resetting is a key factor in optimizing activation processes.
- Understanding particle dynamics in confined geometries is vital for biological applications.

