非加性熵的医学应用。

Medical Applications of Nonadditive Entropies.

作者信息

Tsallis Constantino, Pasechnik Roman

机构信息

Centro Brasileiro de Pesquisas Fisicas and National Institute of Science and Technology of Complex Systems, Rua Xavier Sigaud 150, Rio de Janeiro 22290-180, RJ, Brazil.

Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, NM 87501, USA.

出版信息

Entropy (Basel). 2023 Mar 28;25(4):578. doi: 10.3390/e25040578.

DOI:10.3390/e25040578

PMID:37190366

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10137456/

Abstract

The Boltzmann-Gibbs additive entropy SBG=-k∑ipilnpi and associated statistical mechanics were generalized in 1988 into nonadditive entropy Sq=k1-∑ipiqq-1 and nonextensive statistical mechanics, respectively. Since then, a plethora of medical applications have emerged. In the present review, we illustrate them by briefly presenting image and signal processings, tissue radiation responses, and modeling of disease kinetics, such as for the COVID-19 pandemic.

摘要

玻尔兹曼 - 吉布斯加性熵(S_{BG}=-k\sum_{i}p_{i}\ln p_{i})及相关统计力学于1988年分别被推广为非加性熵(S_{q}=k\frac{1 - \sum_{i}p_{i}^{q}}{q - 1})和非广延统计力学。自那时起，涌现出了大量医学应用。在本综述中，我们通过简要介绍图像与信号处理、组织辐射响应以及疾病动力学建模（如针对新冠疫情）来对这些应用加以说明。