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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 610
2014 565
2015 636
2016 621
2017 620
2018 729
2019 745
2020 1099
2021 1056
2022 957
2023 925
2024 181

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14,818 results

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Page 1
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.
The application of quantum tunneling on a scanning tunneling microscope offers an exact surface roughness mapping of tumors and pharmaceutical particles. Critical elements to cancer nanotherapeutics apply the fractal theory and calculate the fractal dimension for ef …
The application of quantum tunneling on a scanning tunneling microscope offers an exact surface roughness mapping of tumors and pharmaceutic …
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 …
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 properties of cell surface structures: A view from AFM.
Bitler A, Dover RS, Shai Y. Bitler A, et al. Semin Cell Dev Biol. 2018 Jan;73:64-70. doi: 10.1016/j.semcdb.2017.07.034. Epub 2017 Jul 29. Semin Cell Dev Biol. 2018. PMID: 28760392 Review.
Moreover, AFM enables simultaneous imaging of cell surface morphology and mapping of its' mechanical characteristics. This review focuses on applying the fractal dimension measure as a sensitive method to quantify single cell surface structures and their changes from AFM i …
Moreover, AFM enables simultaneous imaging of cell surface morphology and mapping of its' mechanical characteristics. This review focuses on …
The Fractal Tapestry of Life: A Review of Fractal Physiology.
West BJ. West BJ. Nonlinear Dynamics Psychol Life Sci. 2021 Jul;25(3):261-296. Nonlinear Dynamics Psychol Life Sci. 2021. PMID: 34173731 Review.
That strategy has proven to be extraordinarily successful, even surviving the introduction of fractals into the modeling strategy. That is until quite recently. ...These developments have led to a divergence of the modeling strategies appropriate for the physical sciences …
That strategy has proven to be extraordinarily successful, even surviving the introduction of fractals into the modeling strategy. Th …
Fractal approach in expansive clay-based materials with special focus on compacted GMZ bentonite in nuclear waste disposal: a systematic review.
Jalal FE, Xu Y, Li X, Jamhiri B, Iqbal M. Jalal FE, et al. Environ Sci Pollut Res Int. 2021 Aug;28(32):43287-43314. doi: 10.1007/s11356-021-14707-7. Epub 2021 Jun 29. Environ Sci Pollut Res Int. 2021. PMID: 34185270 Review.
Then, the role of osmotic suction pi alongside the application of surface fractal dimension D(s) is presented from the standpoint of fractal theory. Finally, the strength characteristics of GMZ bentonites using fractal approach have been discussed. Furthermor …
Then, the role of osmotic suction pi alongside the application of surface fractal dimension D(s) is presented from the standpoint of …
Lung cancer-a fractal viewpoint.
Lennon FE, Cianci GC, Cipriani NA, Hensing TA, Zhang HJ, Chen CT, Murgu SD, Vokes EE, Vannier MW, Salgia R. Lennon FE, et al. Nat Rev Clin Oncol. 2015 Nov;12(11):664-75. doi: 10.1038/nrclinonc.2015.108. Epub 2015 Jul 14. Nat Rev Clin Oncol. 2015. PMID: 26169924 Free PMC article. Review.
Fractals are mathematical constructs that show self-similarity over a range of scales and non-integer (fractal) dimensions. ...Therefore, this Review aims to introduce the fundamental basis of fractals and to illustrate how analysis of fractal dimensio
Fractals are mathematical constructs that show self-similarity over a range of scales and non-integer (fractal) dimensions. ..
Fractal morphology facilitates Bacillus subtilis biofilm growth.
Wang J, Li X, Kong R, Wu J, Wang X. Wang J, et al. Environ Sci Pollut Res Int. 2022 Aug;29(37):56168-56177. doi: 10.1007/s11356-022-19817-4. Epub 2022 Mar 24. Environ Sci Pollut Res Int. 2022. PMID: 35325386
In the late stage of Bacillus subtilis biofilm growth, to adapt the extremely nutrient-lacking environment, the biofilm edge grows into a complex branching structure, which allows the biofilm to expand outward at a faster speed, comparing to the expansion speed of the biofilm edg …
In the late stage of Bacillus subtilis biofilm growth, to adapt the extremely nutrient-lacking environment, the biofilm edge grows into a co …
Fractal symmetry of protein interior: what have we learned?
Banerji A, Ghosh I. Banerji A, et al. Cell Mol Life Sci. 2011 Aug;68(16):2711-37. doi: 10.1007/s00018-011-0722-6. Epub 2011 May 26. Cell Mol Life Sci. 2011. PMID: 21614471 Review.
The application of fractal dimension-based constructs to probe the protein interior dates back to the development of the concept of fractal dimension itself. ...Clustering the approaches in major schools of protein self-similarity studies, we describe the evolution …
The application of fractal dimension-based constructs to probe the protein interior dates back to the development of the concept of …
14,818 results
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