TY  - JOUR
A1  - Godec, Aljaž
A1  - Metzler, Ralf
T1  - First passage time statistics for two-channel diffusion
JF  - Journal of physics : A, Mathematical and theoretical
N2  - 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.
KW  - first passage time
KW  - Markov additive processes
KW  - Fokker-Planck equation
KW  - random search processes
KW  - coupled initial boundary value problem
KW  - cellular signalling
KW  - asymptotic analysis
Y1  - 2017
U6  - https://doi.org/10.1088/1751-8121/aa5204
SN  - 1751-8113
SN  - 1751-8121
VL  - 50
IS  - 8
PB  - IOP Publ. Ltd.
CY  - Bristol
ER  -