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分形理论在癌症检测中的应用:一篇综述

Ondrej Krejcar¹, Hamidreza Namazi²

¹Skoda Auto University, Na Karmeli 1457, 293 01 Mlada Boleslav, Czech Republic.

|February 18, 2026

概括

碎形理论提供了一种统一的方法来量化各种癌症类型的癌症组织复杂性. 本综述综合了癌症检测中的碎形分析应用,突出了其改善诊断的潜力.

科学领域:

复杂的生物系统的定量分析.
医学成像和组织病理学分析分析.
癌症的研究和诊断.

背景情况:

碎形理论为描述癌症复杂组织结构提供了一个框架.
在癌症检测中,碎形分析的现有应用在不同癌症类型和方法中是分散的.
需要一个统一的合成来理解它的诊断潜力.

研究的目的:

在癌症检测中批判性地审查和综合碎形理论的应用.
整合来自不同癌症类型 (乳腺,肺,前列腺,皮肤) 的证据.
将碎形分析定位为量化瘤相关结构障碍的尺度不变方法.

主要方法:

在成像和组织病理学中检测癌症时,对分数理论应用的审查.
评估关键的碎形方法:碎形维度,多碎形分析,碎形纹理描述器.
评估证据成熟度和与已建立的诊断工具进行比较.

主要成果:

碎形分析为量化瘤结构障碍提供了一个规模不变的范式.
像碎形维度和纹理描述器这样的方法在各种癌症中显示出希望.
目前的局限性包括缺乏标准化和临床验证.

结论:

碎形理论为癌症检测提供了一个有价值的,统一的框架.
进一步的标准化和临床验证对于转化影响至关重要.
整合碎形特征与人工智能可以增强癌症诊断.

关键词:

碎形理论碎形理论癌症检测癌症检测分数维度是分数的维度.多分法分析多分法分析瘤学在瘤学方面.质地分析,质地分析.

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