arXiv Open Access 2017

Asymptotics of extreme statistics of escape time in 1,2 and 3-dimensional diffusions

Kanishka Basnayake Claire Guerrier Zeev Schuss David Holcman

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Abstrak

The first of $N$ identical independently distributed (i.i.d.) Brownian trajectories that arrives to a small target, sets the time scale of activation, which in general is much faster than the arrival to the target of only a single trajectory. Analytical asymptotic expressions for the minimal time is notoriously difficult to compute in general geometries. We derive here asymptotic laws for the probability density function of the first and second arrival times of a large number of i.i.d. Brownian trajectories to a small target in 1,2, and 3 dimensions and study their range of validity by stochastic simulations. The results are applied to activation of biochemical pathways in cellular transduction.

Topik & Kata Kunci

q-bio.SC math.PR physics.data-an

Penulis (4)

Kanishka Basnayake

Claire Guerrier

Zeev Schuss

David Holcman

Format Sitasi

APA MLA BibTeX

Basnayake, K., Guerrier, C., Schuss, Z., Holcman, D. (2017). Asymptotics of extreme statistics of escape time in 1,2 and 3-dimensional diffusions. https://arxiv.org/abs/1711.01330

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2017
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓