Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Using transcription-based detectors to emulate the behaviour of
  sequential probability ratio-based concentration detectors   The sequential probability ratio test (SPRT) from statistics is known to have
the least mean decision time compared to other sequential or fixed-time tests
for given error rates. In some circumstances, cells need to make decisions
accurately and quickly, therefore it has been suggested the SPRT may be used to
understand the speed-accuracy tradeoff in cellular decision making. It is
generally thought that in order for cells to make use of the SPRT, it is
necessary to find biochemical circuits that can compute the log-likelihood
ratio needed for the SPRT. However, this paper takes a different approach. We
recognise that the high-level behaviour of the SPRT is defined by its positive
detection or hit rate, and the computation of the log-likelihood ratio is just
one way to realise this behaviour. In this paper, we will present a method
which uses a transcription-based detector to emulate the hit rate of the SPRT
without computing the exact log-likelihood ratio. We consider the problem of
using a promoter with multiple binding sites to detect whether the
concentration of a transcription factor is above a target level. We show that
it is possible to find binding and unbinding rates of the transcription factor
to the promoter's binding sites so that the probability that the amount of mRNA
produced will be higher than a threshold is approximately equal to the hit rate
of the SPRT detector. Moreover, we show that the average time that this
transcription-based detector needs to make a positive detection is less than or
equal to that of the SPRT for a wide range of concentrations. We remark that
the last statement does not contradict Wald's optimality result because our
transcription-based detector uses an open-ended test.

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The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics