反馈对时变信号信息传输保真度的影响
The effect of feedback on the fidelity of information transmission of time-varying signals
摘要:
活细胞持续暴露于随时间变化的环境信号。这些信号被生化网络检测和处理,这些网络通常是高度随机的。为了了解细胞如何应对波动的环境,我们必须了解生物化学网络如何可靠地传输随时间变化的信号。为此,我们必须了解网络的噪声特性和放大特性。在这篇手稿中,我们使用信息论来研究如何可靠的信号级联采用自动调节和反馈可以传输随时间变化的信号。我们计算了增益噪声比的频率依赖性,它反映了网络在不同频率下传输信号的可靠性。我们发现,增益噪声比可能会有所不同,从输出的功率谱,表明后者并不直接反映信令性能。此外,我们发现,自动激活和自动抑制增加和降低增益噪声比的所有频率,分别。正反馈特别增强低频下的信息传输,而负反馈增加高频下的信号保真度。我们的分析不仅阐明了自动调节和反馈在自然发生的生物网络中的作用,而且揭示了可用于合成基因电路中时变信号可靠传输的设计原理。
英文摘要:
Living cells are continually exposed to environmental signals that vary in time. These signals are detected and processed by biochemical networks, which are often highly stochastic. To understand how cells cope with a fluctuating environment, we therefore have to understand how reliably biochemical networks can transmit time-varying signals. To this end, we must understand both the noise characteristics and the amplification properties of networks. In this manuscript, we use information theory to study how reliably signalling cascades employing autoregulation and feedback can transmit time-varying signals. We calculate the frequency-dependence of the gain-to-noise ratio, which reflects how reliably a network transmits signals at different frequencies. We find that the gain-to-noise ratio may differ qualitatively from the power spectrum of the output, showing that the latter does not directly reflect signaling performance. Moreover, we find that auto-activation and auto-repression increase and decrease the gain-to-noise ratio for all of frequencies, respectively. Positive feedback specifically enhances information transmission at low frequencies, while negative feedback increases signal fidelity at high frequencies. Our analysis not only elucidates the role of autoregulation and feedback in naturally-occurring biological networks, but also reveals design principles that can be used for the reliable transmission of time-varying signals in synthetic gene circuits.
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