A frequency-dependent decoding mechanism for axonal length sensing
A frequency-dependent decoding mechanism for axonal length sensing
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DOI：
10.3389/fncel.2015.00281
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发表时间：
2015-07-21
影响因子：
5.3
通讯作者：
Karamched, Bhargav R.
中科院分区：
文献类型：
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作者：
Bressloff, Paul C.;Karamched, Bhargav R.
我们最近开发了一个轴突长度传感的数学模型，其中延迟微分方程系统描述了化学信号网络。我们发现，化学振荡出现由于延迟负反馈通过一个霍普夫分叉，导致在一个频率是轴突长度的单调递减函数。在本文中，我们探讨如何频率编码的轴突长度可以解码的频率调制基因网络。如果蛋白质输出是阈值的，那么这可以提供轴突长度控制的机制。我们分析了这样一个机制的鲁棒性的存在下，由于有限的拷贝数内的基因网络的固有噪声。
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.