Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Detection of persistent signals and its relation to coherent feedforward
  loops   Many studies have shown that cells use temporal dynamics of signalling
molecules to encode information. One particular class of temporal dynamics is
persistent and transient signals, i.e. signals of long and short durations
respectively. It has been shown that the coherent type-1 feedforward loop with
an AND logic at the output (or C1-FFL for short) can be used to discriminate a
persistent input signal from a transient one. This has been done by modelling
the C1-FFL, and then use the model to show that persistent and transient input
signals give, respectively, a non-zero and zero output. Instead of assuming the
structure of C1-FFL, this paper shows that it is possible to deduce the C1-FFL
model from the requirement of discriminating a persistent signal. We do this by
first formulating a statistical detection problem of distinguishing persistent
signals from transient ones. The solution of the detection problem is to
compute the log-likelihood ratio of observing a persistent signal to a
transient signal. We show that, if this log-likelihood ratio is positive, which
happens when the signal is likely to be persistent, then it can be
approximately computed by a C1-FFL. Although the capability of C1-FFL to
discriminate persistent signals is known, this paper adds an information
processing interpretation on how a C1-FFL works as a detector of persistent
signals.

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The categories of this paper are: gr-qc
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The categories of this paper are: eess
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex