We discuss computer simulations of a particle that hops forward and backward randomly on a one-dimensional lattice. To track the motion of the particle, we use a data acquisition protocol that mimics a virtual digital optical imaging system. Plots of the data extracted from these images yield a pattern that is similar to the patterns observed in real imaging of a moving particle in a living cell. To explore the physical origin of the observed patterns, we use different spatio-temporal resolutions and show that the characteristics of the observed patterns are determined by the spatial and temporal resolutions of the digital imaging device. The simulations help not only to determine the origin of these patterns in the imaging data, but also to avoid misinterpreting the imaging data in terms of a special property of the particle or its dynamics.

中文翻译：

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通过计算机模拟对随机行走进行数字成像：使用简单模型解释时空有限分辨率的影响

我们讨论了在一维晶格上随机向前和向后跳跃的粒子的计算机模拟。为了跟踪粒子的运动，我们使用了模仿虚拟数字光学成像系统的数据采集协议。从这些图像中提取的数据图产生的图案类似于在活细胞中对运动粒子进行真实成像时观察到的图案。要探索观察到的模式的物理起源，我们使用不同的时空分辨率，并表明观察到的模式的特征是由数字成像设备的时空分辨率确定的。模拟不仅有助于确定成像数据中这些图案的来源，而且还可以避免根据粒子的特殊性质或其动力学来误解成像数据。