相关函数作为研究生物系统中集体行为现象的工具
Correlation functions as a tool to study collective behaviour phenomena in biological systems
摘要：
许多有趣的复杂生物行为都源于集体属性。关于集体行为的重要信息在于围绕平均属性的波动的时间和空间结构，两点相关函数是研究这些波动的基本工具。我们给出了一个自包含的相关函数的定义和计算技术的介绍，旨在为统计物理领域以外的学生和研究人员提供一个实用的指南，从实验和模拟数据计算相关函数。我们讨论了临界系统中相关性的一些性质，以及有限系统尺寸的影响，这对于大多数生物实验系统特别相关。最后，我们将这些应用到一个简单的神经元模型的动力学过渡的情况下，
英文摘要：
Much of interesting complex biological behaviour arises from collective properties. Important information about collective behaviour lies in the time and space structure of fluctuations around average properties, and two-point correlation functions are a fundamental tool to study these fluctuations. We give a self-contained presentation of definitions and techniques for computation of correlation functions aimed at providing students and researchers outside the field of statistical physics a practical guide to calculating correlation functions from experimental and simulation data. We discuss some properties of correlations in critical systems, and the effect of finite system size, which is particularly relevant for most biological experimental systems. Finally we apply these to the case of the dynamical transition in a simple neuronal model,
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