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Related Experiment Video

Updated: Apr 5, 2026

Voltage-sensitive Dye Recording from Axons, Dendrites and Dendritic Spines of Individual Neurons in Brain Slices

Voltage-sensitive Dye Recording from Axons, Dendrites and Dendritic Spines of Individual Neurons in Brain Slices

Published on: November 29, 2012

A frequency-dependent decoding mechanism for axonal length sensing.

Paul C Bressloff¹, Bhargav R Karamched¹

¹Department of Mathematics, University of Utah Salt Lake City, UT, USA.

Frontiers in Cellular Neuroscience

|August 11, 2015

Summary

This summary is machine-generated.

This study models axonal length sensing using chemical signaling and delay differential equations. The findings reveal a frequency-encoding mechanism for axonal length control, robust to biological noise.

Keywords:

axonal length control biochemical oscillations frequency decoding gene network intrinsic noise protein thresholds

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Voltage-sensitive Dye Recording from Axons, Dendrites and Dendritic Spines of Individual Neurons in Brain Slices

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Published on: November 29, 2012

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Isolation and Quantification of Axonal mRNAs Using Porous Membrane Inserts and RTddPCR

Isolation and Quantification of Axonal mRNAs Using Porous Membrane Inserts and RTddPCR

Published on: February 6, 2026

Area of Science:

Mathematical biology
Systems biology
Neuroscience

Background:

Axonal length is crucial for neuronal function.
Existing models lack detailed mechanisms for length sensing.
Chemical signaling networks play a role in cellular processes.

Purpose of the Study:

To investigate a mathematical model of axonal length sensing.
To explore how chemical signaling oscillations encode axonal length.
To analyze the robustness of a frequency-modulated gene network for axonal length control.

Main Methods:

Development of a mathematical model using delay differential equations.
Analysis of chemical oscillations via Hopf bifurcation.
Investigation of frequency-modulated gene networks and thresholding.
Assessment of mechanism robustness against intrinsic noise.

Main Results:

Chemical oscillations emerge from delayed negative feedback.
Oscillation frequency is a monotonically decreasing function of axonal length.
A thresholded gene network can decode frequency-encoded axonal length.
The proposed mechanism shows robustness to intrinsic noise.

Conclusions:

A novel mathematical framework for axonal length sensing is presented.
Frequency encoding by chemical oscillations provides a mechanism for axonal length control.
The system demonstrates resilience to biological noise, suggesting potential in vivo relevance.