Detection of persistent signals and its relation to coherent feed-forward loops

Many studies have shown that cells use the 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 duration, respectively. It has been shown that the coherent type-1 feed-forward lo...

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Main Author: Chun Tung Chou
Format: Article
Language:English
Published: The Royal Society 2018-01-01
Series:Royal Society Open Science
Subjects:
Online Access:https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.181641
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author Chun Tung Chou
author_facet Chun Tung Chou
author_sort Chun Tung Chou
collection DOAJ
description Many studies have shown that cells use the 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 duration, respectively. It has been shown that the coherent type-1 feed-forward 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 using the model to show that persistent and transient input signals give, respectively, a non-zero and zero output. The aim of this paper is to make a connection between the statistical detection of persistent signals and the C1-FFL. We begin 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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spelling doaj.art-cbe8b198bda0422d952bdf3fd0f4b5932022-12-22T00:28:19ZengThe Royal SocietyRoyal Society Open Science2054-57032018-01-0151110.1098/rsos.181641181641Detection of persistent signals and its relation to coherent feed-forward loopsChun Tung ChouMany studies have shown that cells use the 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 duration, respectively. It has been shown that the coherent type-1 feed-forward 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 using the model to show that persistent and transient input signals give, respectively, a non-zero and zero output. The aim of this paper is to make a connection between the statistical detection of persistent signals and the C1-FFL. We begin 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.https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.181641coherent feed-forward loopsdetection of persistent signalsdetection theorylikelihood ratiodynamical systemstime-scale separation
spellingShingle Chun Tung Chou
Detection of persistent signals and its relation to coherent feed-forward loops
Royal Society Open Science
coherent feed-forward loops
detection of persistent signals
detection theory
likelihood ratio
dynamical systems
time-scale separation
title Detection of persistent signals and its relation to coherent feed-forward loops
title_full Detection of persistent signals and its relation to coherent feed-forward loops
title_fullStr Detection of persistent signals and its relation to coherent feed-forward loops
title_full_unstemmed Detection of persistent signals and its relation to coherent feed-forward loops
title_short Detection of persistent signals and its relation to coherent feed-forward loops
title_sort detection of persistent signals and its relation to coherent feed forward loops
topic coherent feed-forward loops
detection of persistent signals
detection theory
likelihood ratio
dynamical systems
time-scale separation
url https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.181641
work_keys_str_mv AT chuntungchou detectionofpersistentsignalsanditsrelationtocoherentfeedforwardloops