MOSAIC Group, Institute of Theoretical Computer Science, ETH Zurich, CH-8092 Zürich, Switzerland. Swiss Institute of Bioinformatics , ETH Zurich, CH-8092 Zürich, Switzerland.
Sci Rep. 2011;1:154. doi: 10.1038/srep00154. Epub 2011 Nov 11.
Mesoscopic oscillatory reaction systems, for example in cell biology, can exhibit stochastic oscillations in the form of cyclic random walks even if the corresponding macroscopic system does not oscillate. We study how the intrinsic noise from molecular discreteness influences the frequency spectrum of mesoscopic oscillators using as a model system a cascade of coupled Brusselators away from the Hopf bifurcation. The results show that the spectrum of an oscillator depends on the level of noise. In particular, the peak frequency of the oscillator is reduced by increasing noise, and the bandwidth increased. Along a cascade of coupled oscillators, the peak frequency is further reduced with every stage and also the bandwidth is reduced. These effects can help understand the role of noise in chemical oscillators and provide fingerprints for more reliable parameter identification and volume measurement from experimental spectra.
介观振子反应系统，例如在细胞生物学中，即使对应的宏观系统不发生振荡，也可以以循环随机游动的形式表现出随机振荡。我们研究了分子离散性的固有噪声如何影响介观振子的频谱，使用耦合布鲁塞尔振子级联远离霍夫分岔的模型系统。结果表明，振子的频谱取决于噪声的水平。特别是，通过增加噪声，振荡器的峰值频率降低，带宽增加。沿着级联的耦合振荡器，随着每一级的增加，峰值频率进一步降低，带宽也降低。这些效应可以帮助理解噪声在化学振荡器中的作用，并为更可靠的参数识别和从实验光谱中进行体积测量提供特征。
