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Planck-Shannon Classifier: A Novel Method to Discriminate Between Sonified Raman Signals from Cancer and Healthy Cells

机译:Planck-Shannon分类器:一种歧视来自癌症和健康细胞的被误诊的拉曼信号的新方法

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The Planckian distribution equation (PDE), also called blackbody radiation-like equation, BRE, was derived from the Planck radiation formula by replacing its universal constants and temperature with free parameters, A, B, and C, resulting in y = A/(x + B)~5/(e~(c/(x+B)) - 1), where x is bin variable and y is frequency. PDE has been found to fit many long-tailed asymmetric histograms (LAHs) reported in various fields, including atomic physics, protein folding, single-molecule enzy-mology, whole-cell metabolism, brain neurophysiology, electrophysiology, decisionmaking psychophysics, glottometrics (quantitative study of words and texts), sociology, econometrics, and cosmology (http://www.conformon.net/wp-content/uploads/ 2016/09/PDE_Vienna_2015.pdf). The apparent universality of PDE is postulated to be due to the principle of wave-particle duality embodied in PDE that applies not only to quantum mechanics but also to macrophysics regardless of scales. In this paper, the new classification method referred to as the Planck-Shannon classifier (PSC) or the Planck-Shannon plot (PSP) is formulated based on the two functions, i.e., (i) the Planckian information of the second kind, Ips, and (ii) the Shannon entropy, H, that can be computed from PDE. PSC has been shown to successfully distinguish between the digital CymaScopic images generated from the sonified Raman signals measured from normal and cancer cells in human brain tissues. PSC is a general purpose classifier and can be applied to classifying long-tailed asymmetric histograms generated by many physical, chemical, biological, physiological, psychological, and socioe-conomical processes called Planckian processes, i.e., those processes that generate long-tailed asymmetric histograms fitting PDE.
机译:普朗克分布方程(PDE)也被称为黑体辐射等方程Bre,通过用自由参数,a,b和c替换其通用常数和温度来源于普通的常量和温度,导致y = a /( x + b)〜5 /(e〜(c /(x + b)) - 1),其中x是bin变量,y是频率。已发现PDE以各种领域报告的许多长尾不对称直方图(LAHS),包括原子物理,蛋白质折叠,单分子酶,全细胞代谢,脑神经生理学,电生理学,决策心理物理学,光学仪(定量)(定量学习单词和文本),社会学,经济学和宇宙学(http://www.conormon.net/wp-content/uploads/ 2016/09 / pde_vienna_2015.pdf)。 PDE的表观普遍性被假设是由于PDE中体现的波粒子二元性的原理,不仅适用于量子力学,而且是由于尺度的尺度而达到宏观物理学。在本文中,基于两个函数,即(i)第二类,IPS的普朗西诺信息,制定了所谓的普朗克 - 香农分类器(PSC)或PLACK-Shannon Plot(PSP)的新分类方法。 (ii)Shannon Entropy H,可以从PDE计算。已经证明PSC成功区分了从人脑组织中的正常和癌细胞测量的经过正常和癌细胞测量的经过混乱的拉曼信号产生的数字化调光器图像。 PSC是通用分类器,可以应用于分类由称为Planckian方法的许多物理,化学,生物,生理学,心理学和社会 - 巩膜过程产生的长尾不对称直方图,即产生长尾非对称直方图的这些过程拟合PDE。

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