论文标题
膜蛋白传输和其他次级随机步行的老化功率谱
Aging power spectrum of membrane protein transport and other subordinated random walks
论文作者
论文摘要
单粒子跟踪提供了有关在复杂环境（例如在活细胞中遇到的）中分子运动的详细信息，但是实验数据的解释很具有挑战性。随机过程表征中最强大的工具之一是功率谱密度。但是，由于复杂系统中的异常扩散过程通常不是静止的，因此用于分析功率频谱密度分析的传统Wiener-khinchin定理无效。在这里，我们采用了一种新开发的工具，名为Wiener-khinchin定理来得出分数布朗运动的功率谱密度，该密度与无尺度连续的随机步行共存，这是两个最典型的异常扩散过程。使用此分析，我们表征了电压门控钠通道在海马神经元表面的运动。我们的结果表明，衰老的功率谱密度可以随着观察时间而增加或减小，具体取决于两个基础过程的特定参数。
Single-particle tracking offers detailed information about the motion of molecules in complex environments such as those encountered in live cells, but the interpretation of experimental data is challenging. One of the most powerful tools in the characterization of random processes is the power spectral density. However, because anomalous diffusion processes in complex systems are usually not stationary, the traditional Wiener-Khinchin theorem for the analysis of power spectral densities is invalid. Here, we employ a recently developed tool named aging Wiener-Khinchin theorem to derive the power spectral density of fractional Brownian motion coexisting with a scalefree continuous time random walk, the two most typical anomalous diffusion processes. Using this analysis, we characterize the motion of voltage-gated sodium channels on the surface of hippocampal neurons. Our results show aging where the power spectral density can either increase or decrease with observation time depending on the specific parameters of both underlying processes.
