Magnes Jenny, Hastings Harold, Hulsey-Vincent Miranda, Congo Cheris, Raley-Susman Kathleen, Singhvi Anshul, Hatch Tyler, Szwed Erik
Appl Opt. 2020 Aug 1;59(22):6642-6647. doi: 10.1364/AO.397618.
In a dynamic far-field diffraction experiment, we calculate the largest Lyapunov exponent of a time series obtained from the optical fluctuations in a dynamic diffraction pattern. The time series is used to characterize the locomotory predictability of an oversampled microscopic species. We use a live nematode, Caenorhabditis elegans, as a model organism to demonstrate our method. The time series is derived from the intensity at one point in the diffraction pattern. This single time series displays chaotic markers in the locomotion of the Caenorhabditis elegans by reconstructing the multidimensional phase space. The average largest Lyapunov exponent (base e) associated with the dynamic diffraction of 10 adult wildtype (N2) Caenorhabditis elegans is 1.27±0.03.
在动态远场衍射实验中，我们计算了从动态衍射图样中的光学涨落获得的时间序列的最大李雅普诺夫指数。该时间序列用于表征过采样微观物种的运动可预测性。我们使用活线虫秀丽隐杆线虫作为模式生物来演示我们的方法。时间序列来自衍射图样中某一点的强度。通过重建多维相空间，这个单一时间序列显示出秀丽隐杆线虫运动中的混沌特征。与10条成年野生型（N2）秀丽隐杆线虫的动态衍射相关的平均最大李雅普诺夫指数（自然底数e）为1.27±0.03。
