A molecular relay race: sequential first-passage events to the terminal reaction centre in a cascade of diffusion controlled processes

@article{Grebenkov2021AMR,
  title={A molecular relay race: sequential first-passage events to the terminal reaction centre in a cascade of diffusion controlled processes},
  author={Denis S. Grebenkov and Ralf Metzler and Gleb Oshanin},
  journal={New Journal of Physics},
  year={2021},
  volume={23}
}
We consider a sequential cascade of molecular first-reaction events towards a terminal reaction centre in which each reaction step is controlled by diffusive motion of the particles. The model studied here represents a typical reaction setting encountered in diverse molecular biology systems, in which, e.g. a signal transduction proceeds via a series of consecutive ‘messengers’: the first messenger has to find its respective immobile target site triggering a launch of the second messenger, the… 
Distribution of first-reaction times with target regions on boundaries of shell-like domains
We study the probability density function (PDF) of the first-reaction times between a diffusive ligand and a membrane-bound, immobile imperfect target region in a restricted ‘onion-shell’ geometry

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