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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Format: | Article |
Language: | English |
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The Royal Society
2018-01-01
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Series: | Royal Society Open Science |
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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. |
first_indexed | 2024-12-12T09:48:26Z |
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id | doaj.art-cbe8b198bda0422d952bdf3fd0f4b593 |
institution | Directory Open Access Journal |
issn | 2054-5703 |
language | English |
last_indexed | 2024-12-12T09:48:26Z |
publishDate | 2018-01-01 |
publisher | The Royal Society |
record_format | Article |
series | Royal Society Open Science |
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 |