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A frequency-dependent decoding mechanism for axonal length sensing
We have recently developed a mathematical model of axonal length sensing in which a system of delay differential equations describe a chemical signaling network. We showed that chemical oscillations emerge due to delayed negative feedback via a Hopf bifurcation, resulting in a frequency that is a mo...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Frontiers Media S.A.
2015
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4508512/ https://www.ncbi.nlm.nih.gov/pubmed/26257607 http://dx.doi.org/10.3389/fncel.2015.00281 |
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author | Bressloff, Paul C. Karamched, Bhargav R. |
author_facet | Bressloff, Paul C. Karamched, Bhargav R. |
author_sort | Bressloff, Paul C. |
collection | PubMed |
description | We have recently developed a mathematical model of axonal length sensing in which a system of delay differential equations describe a chemical signaling network. We showed that chemical oscillations emerge due to delayed negative feedback via a Hopf bifurcation, resulting in a frequency that is a monotonically decreasing function of axonal length. In this paper, we explore how frequency-encoding of axonal length can be decoded by a frequency-modulated gene network. If the protein output were thresholded, then this could provide a mechanism for axonal length control. We analyze the robustness of such a mechanism in the presence of intrinsic noise due to finite copy numbers within the gene network. |
format | Online Article Text |
id | pubmed-4508512 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2015 |
publisher | Frontiers Media S.A. |
record_format | MEDLINE/PubMed |
spelling | pubmed-45085122015-08-07 A frequency-dependent decoding mechanism for axonal length sensing Bressloff, Paul C. Karamched, Bhargav R. Front Cell Neurosci Neuroscience We have recently developed a mathematical model of axonal length sensing in which a system of delay differential equations describe a chemical signaling network. We showed that chemical oscillations emerge due to delayed negative feedback via a Hopf bifurcation, resulting in a frequency that is a monotonically decreasing function of axonal length. In this paper, we explore how frequency-encoding of axonal length can be decoded by a frequency-modulated gene network. If the protein output were thresholded, then this could provide a mechanism for axonal length control. We analyze the robustness of such a mechanism in the presence of intrinsic noise due to finite copy numbers within the gene network. Frontiers Media S.A. 2015-07-21 /pmc/articles/PMC4508512/ /pubmed/26257607 http://dx.doi.org/10.3389/fncel.2015.00281 Text en Copyright © 2015 Bressloff and Karamched. http://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms. |
spellingShingle | Neuroscience Bressloff, Paul C. Karamched, Bhargav R. A frequency-dependent decoding mechanism for axonal length sensing |
title | A frequency-dependent decoding mechanism for axonal length sensing |
title_full | A frequency-dependent decoding mechanism for axonal length sensing |
title_fullStr | A frequency-dependent decoding mechanism for axonal length sensing |
title_full_unstemmed | A frequency-dependent decoding mechanism for axonal length sensing |
title_short | A frequency-dependent decoding mechanism for axonal length sensing |
title_sort | frequency-dependent decoding mechanism for axonal length sensing |
topic | Neuroscience |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4508512/ https://www.ncbi.nlm.nih.gov/pubmed/26257607 http://dx.doi.org/10.3389/fncel.2015.00281 |
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