论文标题
活细胞中随机和间歇性粘度波动的数学金融方法
A mathematical finance approach to the stochastic and intermittent viscosity fluctuations in living cells
论文作者
论文摘要
在这里，我们报告了真核活细胞随时间的函数以及随机模型分析其时间波动的粘度。使用活性微流变技术研究了NIH/3T3成纤维细胞的粘弹性特性，其中嵌入在细胞中的磁力线正在远程驱动。数据揭示了以缓慢和快速旋转的间歇性阶段为特征的异常瞬态响应，揭示了明显的波动。通过计算自相关函数和变异函数，从时间序列的角度分析时间依赖性粘度，这是描述数学金融中随机过程的两个函数。最终的分析给出了均衡的均值反复转移过程的证据，其特征在于低于1的自回归系数。它还显示了在1-10 s和100-200 s范围内的特定细胞时代的存在，以前未披露。发现较短的时间与细胞质的内部松弛时间有关。据我们所知，这是描述细胞内代谢的时间序列的属性和数学金融统计结果之间的第一次相似之处。可以利用当前的方法来揭示生物复杂系统的隐藏特征，或确定细胞代谢的新生物标志物。
Here we report on the viscosity of eukaryotic living cells as a function of the time, and on the application of stochastic models to analyze its temporal fluctuations. The viscoelastic properties of NIH/3T3 fibroblastic cells are investigated using an active microrheological technique, where magnetic wires, embedded into cells, are being actuated remotely. The data reveal anomalous transient responses characterized by intermittent phases of slow and fast rotation, revealing significant fluctuations. The time dependent viscosity is analyzed from a time series perspective by computing the autocorrelation functions and the variograms, two functions used to describe stochastic processes in mathematical finance. The resulting analysis gives evidence of a sub-diffusive mean-reverting process characterized by an autoregressive coefficient lower than 1. It also shows the existence of specific cellular times in the ranges 1 - 10 s and 100 - 200 s, not previously disclosed. The shorter time is found being related to the internal relaxation time of the cytoplasm. To our knowledge, this is the first time that similarities are established between the properties of time series describing the intracellular metabolism and statistical results from mathematical finance. The current approach could be exploited to reveal hidden features from biological complex systems, or determine new biomarkers of cellular metabolism.
