A frequency-dependent decoding mechanism for axonal length sensing
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Published version
Author(s)
Bressloff, Paul C
Karamched, Bhargav R
Type
Journal Article
Abstract
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.
Date Issued
2015-07-21
Date Acceptance
2015-07-10
Citation
Frontiers in Cellular Neuroscience, 2015, 9
ISSN
1662-5102
Publisher
Frontiers Media S.A.
Journal / Book Title
Frontiers in Cellular Neuroscience
Volume
9
Copyright Statement
Copyright © 2015 Bressloff and Karamched. 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.
License URL
Identifier
http://dx.doi.org/10.3389/fncel.2015.00281
Publication Status
Published
Article Number
281
Date Publish Online
2015-07-21