Fractal theory: A comprehensive review of applications across engineering disciplines

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F29142890%3A_____%2F25%3A00052296" target="_blank" >RIV/29142890:_____/25:00052296 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.worldscientific.com/doi/abs/10.1142/S0218348X25300089?getft_integrator=clarivate&utm_source=clarivate&journalCode=fractals" target="_blank" >https://www.worldscientific.com/doi/abs/10.1142/S0218348X25300089?getft_integrator=clarivate&utm_source=clarivate&journalCode=fractals</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S0218348X25300089" target="_blank" >10.1142/S0218348X25300089</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Fractal theory: A comprehensive review of applications across engineering disciplines

Popis výsledku v původním jazyce

Fractal theory has gained increasing attention across various engineering disciplines due to its ability to model complex, self-similar, and multiscale phenomena. This paper presents a comprehensive review of fractal applications in biomedical, mechanical, civil, environmental, and materials engineering. In particular, fractal analysis has enabled optimizing porous scaffolds in biomaterials to improve tissue integration and mechanical performance. In biomedical signal processing, fractal algorithms have improved the detection and classification of neurological disorders, particularly through electroencephalogram (EEG) and functional magnetic resonance imaging (fMRI) complexity measures. Additionally, fractal-based models have been effectively used in environmental engineering to improve the prediction and control of pollution dispersion in heterogeneous landscapes. This paper also outlines key theoretical foundations, computational methods, and domain-specific innovations, while identifying current challenges and future directions. By integrating these advances, this review provides a roadmap for using fractal theory in both theoretical research and practical applications.

Název v anglickém jazyce

Fractal theory: A comprehensive review of applications across engineering disciplines

Popis výsledku anglicky

Fractal theory has gained increasing attention across various engineering disciplines due to its ability to model complex, self-similar, and multiscale phenomena. This paper presents a comprehensive review of fractal applications in biomedical, mechanical, civil, environmental, and materials engineering. In particular, fractal analysis has enabled optimizing porous scaffolds in biomaterials to improve tissue integration and mechanical performance. In biomedical signal processing, fractal algorithms have improved the detection and classification of neurological disorders, particularly through electroencephalogram (EEG) and functional magnetic resonance imaging (fMRI) complexity measures. Additionally, fractal-based models have been effectively used in environmental engineering to improve the prediction and control of pollution dispersion in heterogeneous landscapes. This paper also outlines key theoretical foundations, computational methods, and domain-specific innovations, while identifying current challenges and future directions. By integrating these advances, this review provides a roadmap for using fractal theory in both theoretical research and practical applications.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10100 - Mathematics

Projekt

—

Návaznosti

N - Vyzkumna aktivita podporovana z neverejnych zdroju

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Fractals - Complex Geometry Patterns and Scaling in Nature and Society

ISSN

0218-348X

e-ISSN

—

Svazek periodika

33

Číslo periodika v rámci svazku

07

Stát vydavatele periodika

SG - Singapurská republika

Počet stran výsledku

9

Strana od-do

—

Kód UT WoS článku

001530850300001

EID výsledku v databázi Scopus

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