- search hit 1 of 1
First passage time statistics for two-channel diffusion
- We present rigorous results for the mean first passage time and first passage time statistics for two-channel Markov additive diffusion in a 3-dimensional spherical domain. Inspired by biophysical examples we assume that the particle can only recognise the target in one of the modes, which is shown to effect a non-trivial first passage behaviour. We also address the scenario of intermittent immobilisation. In both cases we prove that despite the perfectly non-recurrent motion of two-channel Markov additive diffusion in 3 dimensions the first passage statistics at long times do not display Poisson-like behaviour if none of the phases has a vanishing diffusion coefficient. This stands in stark contrast to the standard (one-channel) Markov diffusion counterpart. We also discuss the relevance of our results in the context of cellular signalling.
Author details: | Aljaž Godec, Ralf MetzlerORCiDGND |
---|---|
DOI: | https://doi.org/10.1088/1751-8121/aa5204 |
ISSN: | 1751-8113 |
ISSN: | 1751-8121 |
Title of parent work (English): | Journal of physics : A, Mathematical and theoretical |
Publisher: | IOP Publ. Ltd. |
Place of publishing: | Bristol |
Publication type: | Article |
Language: | English |
Date of first publication: | 2017/01/17 |
Publication year: | 2017 |
Release date: | 2022/06/24 |
Tag: | Fokker-Planck equation; Markov additive processes; asymptotic analysis; cellular signalling; coupled initial boundary value problem; first passage time; random search processes |
Volume: | 50 |
Issue: | 8 |
Number of pages: | 17 |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
Peer review: | Referiert |