Competition of many searchers

SD Lawley - Target Search Problems, 2024 - Springer
First passage times (FPTs) are often used to estimate timescales in physical, chemical, and
biological processes. FPTs generically describe the time it takes a random “searcher” to find …

Mean First Passage Times for Transport Equations

T Hillen, MR D'Orsogna, JC Mantooth… - SIAM Journal on Applied …, 2025 - SIAM
Many transport processes in ecology, physics, and biochemistry can be described by the
average time to first find a site or exit a region, starting from an initial position. Typical …

Kinetic Monte Carlo methods for three-dimensional diffusive capture problems in exterior domains

AE Lindsay, AJ Bernoff - arXiv preprint arXiv:2406.13644, 2024 - arxiv.org
Cellular scale decision making is modulated by the dynamics of signalling molecules and
their diffusive trajectories from a source to small absorbing sites on the cellular surface …

Boundary Integral Methods for Particle Diffusion in Complex Geometries: Shielding, Confinement, and Escape

J Cherry, AE Lindsay, BD Quaife - arXiv preprint arXiv:2408.08468, 2024 - arxiv.org
We present a numerical method for the solution of diffusion problems in unbounded planar
regions with complex geometries of absorbing and reflecting bodies. Our numerical method …

Memoryless chemotaxis with discrete cues

J Knight, P García-Galindo… - Journal of the Royal …, 2024 - royalsocietypublishing.org
Biological systems such as axonal growth cones perform chemotaxis at micrometre-level
length scales, where chemotactic molecules are sparse. Such systems lie outside the range …

[PDF][PDF] KINETIC MONTE CARLO METHODS FOR THREE-DIMENSIONAL DIFFUSIVE CAPTURE PROBLEMS IN EXTERIOR DOMAINS

AJ BERNOFF, AE LINDSAY - nd.edu
Cellular scale decision making is modulated by the dynamics of signalling molecules and
their diffusive trajectories from a source to small absorbing sites on the cellular surface …