The modeling of living systems composed of many interacting entities is treated in this paper with the aim of describing their collective behaviors. The mathematical approach is developed within the general framework of the kinetic theory of active particles. The presentation is in three parts. First, we derive the mathematical tools, subsequently, we show how the method can be applied to a number of case studies related to well defined living systems, and finally, we look ahead to research perspectives.

中文翻译：

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生活是什么？活性粒子的数学动力学理论透视

本文处理由许多相互作用的实体组成的生命系统的建模，目的是描述它们的集体行为。数学方法是在活性粒子动力学理论的一般框架内发展起来的。演讲分为三个部分。首先，我们推导了数学工具，随后，我们展示了该方法如何应用于与定义明确的生命系统相关的许多案例研究，最后，我们展望了研究前景。