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Multiscale Modelling Tool: Mathematical modelling of collective behaviour without the maths

机译：多尺度建模工具：无需数学即可对集体行为进行数学建模

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Collective behaviour is of fundamental importance in the life sciences, where it appears at levels of biological complexity from single cells to superorganisms, in demography and the social sciences, where it describes the behaviour of populations, and in the physical and engineering sciences, where it describes physical phenomena and can be used to design distributed systems. Reasoning about collective behaviour is inherently difficult, as the non-linear interactions between individuals give rise to complex emergent dynamics. Mathematical techniques have been developed to analyse systematically collective behaviour in such systems, yet these frequently require extensive formal training and technical ability to apply. Even for those with the requisite training and ability, analysis using these techniques can be laborious, time-consuming and error-prone. Together these difficulties raise a barrier-to-entry for practitioners wishing to analyse models of collective behaviour. However, rigorous modelling of collective behaviour is required to make progress in understanding and applying it. Here we present an accessible tool which aims to automate the process of modelling and analysing collective behaviour, as far as possible. We focus our attention on the general class of systems described by reaction kinetics, involving interactions between components that change state as a result, as these are easily understood and extracted from data by natural, physical and social scientists, and correspond to algorithms for component-level controllers in engineering applications. By providing simple automated access to advanced mathematical techniques from statistical physics, nonlinear dynamical systems analysis, and computational simulation, we hope to advance standards in modelling collective behaviour. At the same time, by providing expert users with access to the results of automated analyses, sophisticated investigations that could take significant effort are substantially facilitated. Our tool can be accessed online without installing software, uses a simple programmatic interface, and provides interactive graphical plots for users to develop understanding of their models.
机译：集体行为在生命科学中具有根本的重要性，在从单细胞到超生物的生物复杂性层面上，在人口统计学和社会科学中，它描述人口的行为；在物理和工程科学中，它表现为人口的行为。描述了物理现象，可用于设计分布式系统。集体行为的推理本质上是困难的，因为个体之间的非线性相互作用会引起复杂的突发动态。已经开发了数学技术来系统地分析此类系统中的集体行为，但是这些技术经常需要广泛的正式培训和应用技术才能。即使对于那些具有必要培训和能力的人，使用这些技术进行分析也可能很费力，费时且容易出错。这些困难共同为希望分析集体行为模式的从业人员增加了进入的障碍。但是，需要对集体行为进行严格的建模，才能在理解和应用中取得进步。在这里，我们提供了一个可访问的工具，旨在尽可能自动化建模和分析集体行为的过程。我们将注意力集中在反应动力学所描述的一般系统类别上，涉及会改变状态的组件之间的相互作用，因为自然，物理和社会科学家很容易理解并从数据中提取这些组件，并且这些组件对应于以下算法：工程应用中的液位控制器。通过提供对统计物理学，非线性动力学系统分析和计算仿真的先进数学技术的简单自动访问，我们希望提高对集体行为进行建模的标准。同时，通过为专家用户提供自动分析结果的访问权限，大大简化了可能需要花费大量精力的复杂调查。我们的工具无需安装软件即可在线访问，使用简单的编程界面，并为用户提供交互式图形化图表，以帮助他们了解其模型。

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