Fractal and Fractional Analysis in Biomedical Sciences and Engineering

Over the past two decades, various signal and image analyses, as well as bioinformatics approaches, have had a significant impact on research in life sciences. Problems arising in medical and biological research depend on a multitude of system parameters, often in a nonlinear way; these problems can...

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Materyal Türü: Online
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Baskı/Yayın Bilgisi: MDPI - Multidisciplinary Digital Publishing Institute 2026
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Online Erişim:https://directory.doabooks.org/handle/20.500.12854/170660
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collection Directory of Open Access Books
description Over the past two decades, various signal and image analyses, as well as bioinformatics approaches, have had a significant impact on research in life sciences. Problems arising in medical and biological research depend on a multitude of system parameters, often in a nonlinear way; these problems can often be successfully addressed via the tools of complex system analysis. Fractal and fractional analysis, originally rooted in theoretical developments, has later been recognized as well-suited for analyzing problems that occur in nature. Due to the random multiplicative processes in an organism, influencing growth, differentiation, and function, structures can be described in terms of scaled copies of self-similar entities. Machine learning and artificial intelligence are increasingly being employed in combination with fractional calculus. This Special Issue Reprint offers an overview of state-of-the-art developments in the field of fractal and fractional-based methodologies as applied to the analysis and modeling of biological entities. Eight out of ten articles directly target cutting-edge medical problems. It is highly multidisciplinary and is expected to be of interest to researchers from the health sector, life sciences, and applied mathematics, as well as to readers with different academic or practical backgrounds.
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spelling doab-20.500.12854ir-1706602026-01-02T16:22:47Z Fractal and Fractional Analysis in Biomedical Sciences and Engineering Ilić, Andjelija Ž. biosystem dynamics biomarkers data classification fitting mathematical models neural networks image and signal processing diagnostics and monitoring tumor microenvironment cell nuclei non-integer modeling Over the past two decades, various signal and image analyses, as well as bioinformatics approaches, have had a significant impact on research in life sciences. Problems arising in medical and biological research depend on a multitude of system parameters, often in a nonlinear way; these problems can often be successfully addressed via the tools of complex system analysis. Fractal and fractional analysis, originally rooted in theoretical developments, has later been recognized as well-suited for analyzing problems that occur in nature. Due to the random multiplicative processes in an organism, influencing growth, differentiation, and function, structures can be described in terms of scaled copies of self-similar entities. Machine learning and artificial intelligence are increasingly being employed in combination with fractional calculus. This Special Issue Reprint offers an overview of state-of-the-art developments in the field of fractal and fractional-based methodologies as applied to the analysis and modeling of biological entities. Eight out of ten articles directly target cutting-edge medical problems. It is highly multidisciplinary and is expected to be of interest to researchers from the health sector, life sciences, and applied mathematics, as well as to readers with different academic or practical backgrounds. 2026-01-02T16:22:44Z 2026-01-02T16:22:44Z 2025 book 978-3-7258-4847-8 https://directory.doabooks.org/handle/20.500.12854/170660 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books https://mdpi.com/books/pdfview/book/11389 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-7258-4848-5 10.3390/books978-3-7258-4848-5 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 978-3-7258-4847-8 174 CH open access
spellingShingle biosystem dynamics
biomarkers
data classification
fitting mathematical models
neural networks
image and signal processing
diagnostics and monitoring
tumor microenvironment
cell nuclei
non-integer modeling
Fractal and Fractional Analysis in Biomedical Sciences and Engineering
title Fractal and Fractional Analysis in Biomedical Sciences and Engineering
title_full Fractal and Fractional Analysis in Biomedical Sciences and Engineering
title_fullStr Fractal and Fractional Analysis in Biomedical Sciences and Engineering
title_full_unstemmed Fractal and Fractional Analysis in Biomedical Sciences and Engineering
title_short Fractal and Fractional Analysis in Biomedical Sciences and Engineering
title_sort fractal and fractional analysis in biomedical sciences and engineering
topic biosystem dynamics
biomarkers
data classification
fitting mathematical models
neural networks
image and signal processing
diagnostics and monitoring
tumor microenvironment
cell nuclei
non-integer modeling
topic_facet biosystem dynamics
biomarkers
data classification
fitting mathematical models
neural networks
image and signal processing
diagnostics and monitoring
tumor microenvironment
cell nuclei
non-integer modeling
url https://directory.doabooks.org/handle/20.500.12854/170660