Department of Mathematical Sciences, KAIST, Daejeon 34141, Republic of Korea.
Biomedical Mathematics Group, Pioneer Research Center for Mathematical and Computational Sciences, Institute for Basic Science, Daejeon 34126, Republic of Korea.
Phys Rev Lett. 2024 Feb 16;132(7):078402. doi: 10.1103/PhysRevLett.132.078402.
Genetic oscillations are generated by delayed transcriptional negative feedback loops, wherein repressor proteins inhibit their own synthesis after a temporal production delay. This delay is distributed because it arises from a sequence of noisy processes, including transcription, translocation, translation, and folding. Because the delay determines repression timing and, therefore, oscillation period, it has been commonly believed that delay noise weakens oscillatory dynamics. Here, we demonstrate that noisy delay can surprisingly denoise genetic oscillators. Specifically, moderate delay noise improves the signal-to-noise ratio and sharpens oscillation peaks, all without impacting period and amplitude. We show that this denoising phenomenon occurs in a variety of well-studied genetic oscillators, and we use queueing theory to uncover the universal mechanisms that produce it.
遗传振荡是由延迟转录负反馈回路产生的,其中抑制蛋白在经过一段时间的延迟产生后会抑制自身的合成。这种延迟是分布的,因为它源于一系列嘈杂的过程,包括转录、易位、翻译和折叠。由于延迟决定了抑制的时间,因此也决定了振荡的周期,因此人们普遍认为延迟噪声会削弱振荡动力学。在这里,我们证明了噪声延迟可以出人意料地对遗传振荡器进行去噪。具体来说,适度的延迟噪声可以提高信噪比并锐化振荡峰,而不影响周期和幅度。我们表明,这种去噪现象发生在各种经过充分研究的遗传振荡器中,我们使用排队论来揭示产生这种现象的普遍机制。