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arXiv 2007.13220cond-mat.softphysics.bio-ph
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通过活性布朗粒子中的微观过程理解传染动力学

Understanding Contagion Dynamics through Microscopic Processes in Active Brownian Particles

Ariel Norambuena, Felipe Valencia, Francisca Guzmán-Lastra

摘要:

与普遍认可的SIR模型一起,已经采用了几种方法来理解相互作用粒子的传染动力学。在这里,主动布朗粒子(ABP)被引入到模拟传染病在空间和时间上传播的活代理的传染动力学。对几种种群密度和传染率进行了模拟。我们的研究结果表明,ABP不仅再现了传统SIR模型中观察到的时间依赖性,而且还允许我们探索临界密度,传染半径和随机恢复时间,促进病毒传播。此外,我们推导了传染率的微观参数的第一性原理的解析表达式,没有自由参数的假设为经典的SIR为基础的模型。这种方法提供了一种新的替代方案,将微观过程纳入到基于SIR的模型分析中,并在广泛的生物系统中应用

英文摘要:

Together with the universally recognized SIR model, several approaches have been employed to understand the contagious dynamics of interacting particles. Here, Active Brownian particles (ABP) are introduced to model the contagion dynamics of living agents that spread an infectious disease in space and time. Simulations were performed for several population densities and contagious rates. Our results show that ABP not only reproduces the time dependence observed in traditional SIR models, but also allows us to explore the critical densities, contagious radius, and random recovery times that facilitate the virus spread. Furthermore, we derive a first-principles analytical expression for the contagion rate in terms of microscopic parameters, without the assumption of free parameters as the classical SIR-based models. This approach offers a novel alternative to incorporate microscopic processes into the analysis of SIR-based models with applications in a wide range of biological systems

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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