论文标题
主动粒子方法用于建模科学和社会
Active particles methods towards modeling in science and society
论文作者
论文摘要
本文是追逐发展生活系统数学理论的雄心勃勃的目标的第一步。内容参考建模较大的相互作用实体系统,目的是通过差异模型来描述其集体行为。内容分为三个部分。首先,我们得出数学方法。随后,我们展示了如何将该方法应用于与定义良好的生活系统有关的许多案例研究中,最后,我们展望了研究观点,既关注数学方法和进一步的应用。
This paper is a first step to chase the ambitious objective of developing a mathmatical theory of living systems. The contents refer modeling large systems of interacting living entities with the aim of describing their collective behaviors by differential models. The contents is in three parts. Firstly, we derive the mathematical method; subsequently, we show how the method can be applied in a number of case studies related to well defined living systems and finally, we look ahead to research perspectives focusing both on mathematical methods and further applications.