The Effects of Fast Inactivation on Conditional First Passage Times of Mortal Diffusive Searchers

DOI10.1137/20M1324818zbMath1457.92053arXiv2003.05515OpenAlexW3118914527MaRDI QIDQ5149216

Sean D. Lawley

Publication date: 8 February 2021

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.05515

zbMATH Keywords

Brownian motionintracellular signalingheterogeneous diffusionconditional first passage timeevanescent particlemortal random walker

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Cell biology (92C37)

Related Items

Slowest first passage times, redundancy, and menopause timing, Extreme statistics of anomalous subdiffusion following a fractional Fokker–Planck equation: subdiffusion is faster than normal diffusion, Extreme hitting probabilities for diffusion*

Cites Work

• Unnamed Item
• Order statistics for first passage times in diffusion processes
• Heat kernel asymptotics and the distance function in Lipschitz Riemannian manifolds
• Quasi-stationary distributions and population processes
• A probabilistic approach to extreme statistics of Brownian escape times in dimensions 1, 2, and 3
• Distribution of extreme first passage times of diffusion
• Diffusive search for diffusing targets with fluctuating diffusivity and gating
• Asymptotic formulas for extreme statistics of escape times in 1, 2 and 3-dimensions
• A Guide to First-Passage Processes
• An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape Problems: Part I: Two-Dimensional Domains
• An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape Problems: Part II: The Sphere
• Active transport improves the precision of linear long distance molecular signalling
• First passage time statistics for two-channel diffusion
• The Mean Escape Time for a Narrow Escape Problem with Multiple Switching Gates
• The number statistics and optimal history of non-equilibrium steady states of mortal diffusing particles
• Escape from Subcellular Domains with Randomly Switching Boundaries
• Diffusion processes in a small time interval
• The Narrow Escape Problem
• Escape from a potential well with a randomly switching boundary
• Residence times of a Brownian particle with temporal heterogeneity
• Elucidating the Role of Subdiffusion and Evanescence in the Target Problem: Some Recent Results
• Competition between slow and fast regimes for extreme first passage times of diffusion