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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。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/992d/10137456/3b9d48e9ffa1/entropy-25-00578-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/992d/10137456/c18d2857055b/entropy-25-00578-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/992d/10137456/b7335e1aca38/entropy-25-00578-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/992d/10137456/dfdf7329047f/entropy-25-00578-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/992d/10137456/3b9d48e9ffa1/entropy-25-00578-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/992d/10137456/c18d2857055b/entropy-25-00578-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/992d/10137456/b7335e1aca38/entropy-25-00578-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/992d/10137456/dfdf7329047f/entropy-25-00578-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/992d/10137456/3b9d48e9ffa1/entropy-25-00578-g004.jpg

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本文引用的文献

1
An automatic sleep-scoring system in elderly women with osteoporosis fractures using frequency localized finite orthogonal quadrature Fejer Korovkin kernels.利用频率局部有限正交拟 Fejer-Korovkin 核的老年骨质疏松性骨折女性自动睡眠评分系统。
Med Eng Phys. 2023 Feb;112:103956. doi: 10.1016/j.medengphy.2023.103956. Epub 2023 Feb 7.
2
Automatic ECG Quality Assessment Techniques: A Systematic Review.自动心电图质量评估技术:一项系统综述。
Diagnostics (Basel). 2022 Oct 24;12(11):2578. doi: 10.3390/diagnostics12112578.
3
The Role of Entropy in Construct Specification Equations (CSE) to Improve the Validity of Memory Tests: Extension to Word Lists.
熵在构建规范方程(CSE)以提高记忆测试有效性中的作用:扩展到单词列表
Entropy (Basel). 2022 Jul 5;24(7):934. doi: 10.3390/e24070934.
4
Golden Standard or Obsolete Method? Review of ECG Applications in Clinical and Experimental Context.金标准还是过时方法?心电图在临床和实验环境中的应用综述。
Front Physiol. 2022 Apr 25;13:867033. doi: 10.3389/fphys.2022.867033. eCollection 2022.
5
Artificial intelligence-enhanced electrocardiography in cardiovascular disease management.人工智能增强心电图在心血管疾病管理中的应用
Nat Rev Cardiol. 2021 Jul;18(7):465-478. doi: 10.1038/s41569-020-00503-2. Epub 2021 Feb 1.
6
Eyewitness to history: Landmarks in the development of computerized electrocardiography.历史的见证者:计算机心电图发展的里程碑
J Electrocardiol. 2016 Jan-Feb;49(1):1-6. doi: 10.1016/j.jelectrocard.2015.11.002. Epub 2015 Nov 6.
7
Prediction of seizure likelihood with a long-term, implanted seizure advisory system in patients with drug-resistant epilepsy: a first-in-man study.耐药性癫痫患者的长期植入式癫痫预警系统预测癫痫发作的可能性:首例人体研究。
Lancet Neurol. 2013 Jun;12(6):563-71. doi: 10.1016/S1474-4422(13)70075-9. Epub 2013 May 2.
8
Compressive sensing scalp EEG signals: implementations and practical performance.压缩感知头皮 EEG 信号:实现与实际性能。
Med Biol Eng Comput. 2012 Nov;50(11):1137-45. doi: 10.1007/s11517-011-0832-1. Epub 2011 Sep 27.
9
Tissue radiation response with maximum Tsallis entropy.组织辐射响应的最大 Tsallis 熵。
Phys Rev Lett. 2010 Oct 8;105(15):158105. doi: 10.1103/PhysRevLett.105.158105. Epub 2010 Oct 7.
10
Brain tissue segmentation using q-entropy in multiple sclerosis magnetic resonance images.基于 q-熵的多发性硬化症磁共振图像脑组织分割。
Braz J Med Biol Res. 2010 Jan;43(1):77-84. doi: 10.1590/s0100-879x2009007500019. Epub 2009 Nov 20.