Title |
A frequency-dependent decoding mechanism for axonal length sensing
|
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Published in |
Frontiers in Cellular Neuroscience, July 2015
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DOI | 10.3389/fncel.2015.00281 |
Pubmed ID | |
Authors |
Paul C. Bressloff, Bhargav R. Karamched |
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. |
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