Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The effects of fast inactivation on conditional first passage times of
  mortal diffusive searchers   The first time a searcher finds a target is called a first passage time
(FPT). In many physical, chemical, and biological processes, the searcher is
"mortal," which means that the searcher might become inactivated (degrade, die,
etc.) before finding the target. In the context of intracellular signaling, an
important recent work discovered that fast inactivation can drastically alter
the conditional FPT distribution of a mortal diffusive searcher, if the
searcher is conditioned to find the target before inactivation. In this paper,
we prove a general theorem which yields an explicit formula for all the moments
of such conditional FPTs in the fast inactivation limit. This formula is quite
universal, as it holds under very general conditions on the diffusive searcher
dynamics, the target, and the spatial domain. These results prove in
significant generality that if inactivation is fast, then the conditional FPT
compared to the FPT without inactivation is (i) much faster, (ii) much less
affected by spatial heterogeneity, and (iii) much less variable. Our results
agree with recent computational and theoretical analysis of a certain discrete
intracellular diffusion model and confirm a conjecture related to the effect of
spatial heterogeneity on intracellular signaling.

8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs