Skip to main page content
U.S. flag

An official website of the United States government

Dot gov

The .gov means it’s official.
Federal government websites often end in .gov or .mil. Before sharing sensitive information, make sure you’re on a federal government site.

Https

The site is secure.
The https:// ensures that you are connecting to the official website and that any information you provide is encrypted and transmitted securely.

Access keys NCBI Homepage MyNCBI Homepage Main Content Main Navigation

Search Page

Filters

My Custom Filters

Edit custom filters

Results by year

Table representation of search results timeline featuring number of search results per year.

Year Number of Results
1975 1
1981 3
1982 4
1983 3
1984 3
1985 58
1986 77
1987 64
1988 62
1989 86
1990 102
1991 108
1992 136
1993 159
1994 173
1995 168
1996 196
1997 160
1998 163
1999 234
2000 278
2001 329
2002 320
2003 292
2004 377
2005 414
2006 454
2007 442
2008 417
2009 457
2010 513
2011 513
2012 551
2013 611
2014 565
2015 636
2016 621
2017 620
2018 730
2019 745
2020 1101
2021 1059
2022 959
2023 939
2024 971
2025 1164
2026 558

Publication date

Text availability

Article attribute

Article type

Additional filters

Article Language

Species

Sex

Age

Other

Search Results

17,176 results

Results by year

Filters applied: . Clear all
Page 1
Fractal Analysis in Clinical Neurosciences: An Overview.
Di Ieva A. Di Ieva A. Adv Neurobiol. 2024;36:261-271. doi: 10.1007/978-3-031-47606-8_13. Adv Neurobiol. 2024. PMID: 38468037 Review.
Over the last years, fractals have entered into the realms of clinical neurosciences. The whole brain and its components (i.e., neurons and astrocytes) have been studied as fractal objects, and even more relevant, the fractal-based quantification of the geome …
Over the last years, fractals have entered into the realms of clinical neurosciences. The whole brain and its components (i.e., neuro …
Fractal Analysis in MATLAB: A Tutorial for Neuroscientists.
Ruiz de Miras J. Ruiz de Miras J. Adv Neurobiol. 2024;36:815-825. doi: 10.1007/978-3-031-47606-8_41. Adv Neurobiol. 2024. PMID: 38468065 Review.
In this chapter, we review some tools available in MATLAB for performing fractal analyses on typical neuroscientific data in a practical way. We provide detailed examples of how to calculate the fractal dimension of 1D, 2D, and 3D data in MATLAB. Furthermore, we rev …
In this chapter, we review some tools available in MATLAB for performing fractal analyses on typical neuroscientific data in a practi …
Fractal Time Series: Background, Estimation Methods, and Performances.
Porcaro C, Moaveninejad S, D'Onofrio V, DiIeva A. Porcaro C, et al. Adv Neurobiol. 2024;36:95-137. doi: 10.1007/978-3-031-47606-8_5. Adv Neurobiol. 2024. PMID: 38468029 Review.
In neuroscience, starting from identifying the fractal properties of neuronal and brain architecture, attention has shifted to evaluating brain signals in the time domain. ...In this chapter, we first outline the main properties of fractals in the domain of space ( …
In neuroscience, starting from identifying the fractal properties of neuronal and brain architecture, attention has shifted to evalua …
Fractal Dimension Analysis in Neurological Disorders: An Overview.
Díaz Beltrán L, Madan CR, Finke C, Krohn S, Di Ieva A, Esteban FJ. Díaz Beltrán L, et al. Adv Neurobiol. 2024;36:313-328. doi: 10.1007/978-3-031-47606-8_16. Adv Neurobiol. 2024. PMID: 38468040 Review.
Fractal analysis has emerged as a powerful tool for characterizing irregular and complex patterns found in the nervous system. This characterization is typically applied by estimating the fractal dimension (FD), a scalar index that describes the topological complexi …
Fractal analysis has emerged as a powerful tool for characterizing irregular and complex patterns found in the nervous system. This c …
The Fractal Viewpoint of Tumors and Nanoparticles.
Alexiou A, Tsagkaris C, Chatzichronis S, Koulouris A, Haranas I, Gkigkitzis I, Zouganelis G, Mukerjee N, Maitra S, Jha NK, Batiha GE, Kamal MA, Nikolaou M, Ashraf GM. Alexiou A, et al. Curr Med Chem. 2023;30(3):356-370. doi: 10.2174/0929867329666220801152347. Curr Med Chem. 2023. PMID: 35927901 Review.
Critical elements to cancer nanotherapeutics apply the fractal theory and calculate the fractal dimension for efficient tumor surface imaging at the atomic level. This review study presents the latest biological approaches to cancer management based on fractal …
Critical elements to cancer nanotherapeutics apply the fractal theory and calculate the fractal dimension for efficient tumor …
Fractal Neurodynamics.
Armonaite K, Conti L, Tecchio F. Armonaite K, et al. Adv Neurobiol. 2024;36:659-675. doi: 10.1007/978-3-031-47606-8_33. Adv Neurobiol. 2024. PMID: 38468057
Here, the purpose was to investigate if the local ongoing electrical activity exhibits its characteristic spectral and fractal features in wakefulness and sleep across and within subjects. Moreover, we aimed to show that measures typical of complex systems catch physiologi …
Here, the purpose was to investigate if the local ongoing electrical activity exhibits its characteristic spectral and fractal featur …
The fractal brain: scale-invariance in structure and dynamics.
Grosu GF, Hopp AV, Moca VV, Bârzan H, Ciuparu A, Ercsey-Ravasz M, Winkel M, Linde H, Mureșan RC. Grosu GF, et al. Cereb Cortex. 2023 Apr 4;33(8):4574-4605. doi: 10.1093/cercor/bhac363. Cereb Cortex. 2023. PMID: 36156074 Free PMC article. Review.
The past 40 years have witnessed extensive research on fractal structure and scale-free dynamics in the brain. Although considerable progress has been made, a comprehensive picture has yet to emerge, and needs further linking to a mechanistic account of brain function. ... …
The past 40 years have witnessed extensive research on fractal structure and scale-free dynamics in the brain. Although considerable …
Fractal nature of human gastrointestinal system: Exploring a new era.
Grizzi F, Spadaccini M, Chiriva-Internati M, Hegazi MAAA, Bresalier RS, Hassan C, Repici A, Carrara S. Grizzi F, et al. World J Gastroenterol. 2023 Jul 7;29(25):4036-4052. doi: 10.3748/wjg.v29.i25.4036. World J Gastroenterol. 2023. PMID: 37476585 Free PMC article. Review.
In this context, we explore the fractal nature of the gastrointestinal system and the potential of fractal geometry as a robust descriptor of its complex forms and functions. Additionally, we examine the practical applications of fractal geometry in clinical …
In this context, we explore the fractal nature of the gastrointestinal system and the potential of fractal geometry as a robus …
Fractal aggregates.
Meakin P. Meakin P. Adv Colloid Interface Sci. 1988 Jun;28(4):249-331. doi: 10.1016/0001-8686(87)80016-7. Adv Colloid Interface Sci. 1988. PMID: 2577851 Review.
In recent years it has been shown that the structures of a wide variety of colloidal aggregates can be described in terms of the concepts of fractal geometry. The purpose of this review is to discuss some of the evidence for fractal geometry in experimental systems …
In recent years it has been shown that the structures of a wide variety of colloidal aggregates can be described in terms of the concepts of …
Morphology and Fractal-Based Classifications of Neurons and Microglia in Two and Three Dimensions.
Karperien AL, Jelinek HF. Karperien AL, et al. Adv Neurobiol. 2024;36:149-172. doi: 10.1007/978-3-031-47606-8_7. Adv Neurobiol. 2024. PMID: 38468031 Review.
Although microglia may unwind and depart from the neurons they attend under certain circumstances, in general, together both contribute to the fractal topology of the brain that defines its computational capabilities. Both neuronal and microglial morphologies are well-desc …
Although microglia may unwind and depart from the neurons they attend under certain circumstances, in general, together both contribute to t …
17,176 results
You have reached the last available page of results. Please see the User Guide for more information.