September 24, 2025Open Access

Run-and-tumble particle with diffusion: boundary local times and the zero-diffusion limit

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PBPaul C. BressloffImperial College London

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Implication

This analysis presents a stochastic differential equation for a run-and-tumble particle in the presence of diffusion, highlighting the significance of boundary conditions.

Key Points

Combining diffusion with run-and-tumble dynamics leads to increased boundary conditions in the zero diffusion limit.
The survival probability and first passage time density are derived for an absorbing wall, clarifying dynamic behaviors.
Stochastic calculus is utilized to formulate the forward Kolmogorov equation under various boundary conditions.
Observations indicate that the effects of diffusion introduce complexities in modeling boundary interactions.

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Paul C. Bressloff (2025) studied this question.

synapsesocial.com/papers/68d6e0fc8b2b6861e4c3f3c8 https://doi.org/10.48550/arxiv.2508.20473

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Implication

This analysis presents a stochastic differential equation for a run-and-tumble particle in the presence of diffusion, highlighting the significance of boundary conditions.

Run-and-tumble particle with diffusion: boundary local times and the zero-diffusion limit

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Implication

Key Points

Cite This Study

Run-and-tumble particle with diffusion: boundary local times and the zero-diffusion limit

Discussion

Member takes

Implication

Key Points

Cite This Study

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