ArticleFrontiers in cellular neuroscience2015
A frequency-dependent decoding mechanism for axonal length sensing.
Article in Frontiers in cellular neuroscience, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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4 citing papers in PubMed.
- Both sides now: modeling motor regulation of microtubule length at both ends.Physical biology · 2026Article
- Stochastic switching of delayed feedback suppresses oscillations in genetic regulatory systems.Journal of the Royal Society, Interface · 2023Article
- Principles, mechanisms and functions of entrainment in biological oscillators.Interface focus · 2022Review
- Delay-induced uncertainty for a paradigmatic glucose-insulin model.Chaos (Woodbury, N.Y.) · 2021Article
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2 authors.
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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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