标题： 从膜电流信号测量神经元细胞的熵 显示英文标题

标题： Measuring the entropy of a neuron cell from its membrane current signal

摘要： 本研究的目的是探讨如何利用从小鼠内侧前额叶皮层（mPFC）神经元记录的膜离子电流信号测量神经元细胞的熵。 样本熵和谱图熵被用作熵测量方法。 众所周知，系统向平衡状态移动的方向熵会增加。 因此，在活细胞的电活动过程中，当膜电位达到离子的“能斯特平衡电位”（或离子平衡）时，预期熵将达到最大值。 然而，观察到传统的计算方法得到的熵值并未在离子平衡状态下达到峰值。 因此，提出了对这些测量方法的两种修改，以将熵值调整到离子的平衡电位处的最大值。 由于这些提出的修改，观察到熵值在离子的平衡电位附近达到峰值。 这些改进的方法通过Logistic映射成功进行了验证。 此外，熵结果与李雅普诺夫指数进行了比较。 结果表明，可以使用熵测量分析活细胞的行为。 结果还表明，该方法可用于检测肿瘤细胞和正常细胞行为的差异，或药物对细胞的影响。 显示英文摘要

摘要： The purpose of this study was to investigate how the entropy of a neuron cell can be measured using membrane ion current signals, which were recorded from neurons in the mouse medial prefrontal cortex (mPFC). The sample entropy and the Scalogram entropy were used as entropy measurement methods. It is well known that the entropy increases in the direction of the movement of the system towards the equilibrium. Therefore, in the process of the electrical activity of a living cell, the entropy is expected to reach a maximum at the moment when the membrane potential reaches the 'Nernst equilibrium potential' (or ionic equilibrium) of the ions. However, it was observed that the entropy values obtained by traditional calculations did not reach the peak at the equilibrium state of the ions. Therefore, two modifications to these measurement methods were proposed to adjust the entropy value to the maximum at the equilibrium potential of the ions. As a result of these proposed modifications, the entropy values were observed to peak around the equilibrium potential of the ions. These refined approaches were successfully validated using the Logistic map. Additionally, the entropy results were compared with Lyapunov exponents. The results show that the behaviour of living cells can be analysed using entropy measurements. The results also suggest that the method could be used to detect differences in the behaviour of tumour and normal cells, or the effects of drugs on cells.