Fractal Pennes and Cattaneo-Vernotte bioheat equations from product-like fractal geometry and their implications on cells in the presence of tumour growth. [PDF]
J R Soc Interface, 2021 In this study, the Pennes and Cattaneo–Vernotte bioheat transfer equations in the presence of fractal spatial dimensions are derived based on the product-like fractal geometry.
El-Nabulsi RA.
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How neurons exploit fractal geometry to optimize their network connectivity. [PDF]
Sci Rep, 2021 We investigate the degree to which neurons are fractal, the origin of this fractality, and its impact on functionality. By analyzing three-dimensional images of rat neurons, we show the way their dendrites fork and weave through space is unexpectedly ...
Smith JH +8 more
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Design and characterization of electrons in a fractal geometry. [PDF]
Nat Phys, 2019 The dimensionality of an electronic quantum system is decisive for its properties. In one dimension, electrons form a Luttinger liquid, and in two dimensions, they exhibit the quantum Hall effect.
Kempkes SN +6 more
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Elimination of Interface Energy Barriers Using Dendrimer Polyelectrolytes with Fractal Geometry. [PDF]
ACS Appl Mater Interfaces, 2023 Ros E +10 more
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From Fractal Geometry to Statistical Fractal
Recoletos Multidisciplinary Research Journal, 2013 The development from fractal geometry to fractal statistics was established in this paper. Interesting features such as self similarity, scale invariance, and the spacefilling property of objects (fractal dimension) of fractal geometry provided an ...
Roberto N. Padua, Mark S. Borres
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Book review: The fractal geometry of the brain [PDF]
Front Neurosci, 2022 Armonaite K, Conti L, Tecchio F.
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Percolation fractal exponents without fractal geometry [PDF]
, 2002 8 pages, 3 figures, title ...
A. Desolneux, B. Sapoval
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From Fractal Geometry to Fractal Analysis
Applied Mathematics, 2016 Euclidian geometry pertained only to the artificial realities of the first, second and third dimensions. Fractal geometry is a new branch of mathematics that proves useful in representing natural phenomena whose dimensions (fractal dimensions) are non ...
G. Losa +4 more
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NeutroGeometry and Fractal Geometry [PDF]
Neutrosophic Sets and SystemsGeometries are structures with certain elements like points, lines, planes, and spaces, among others, that satisfy certain definitions, axioms, properties, and theorems for the total of the elements. NeutroGeometries are geometric structures that meet at
Florentin Smarandache +3 more
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The Fractal Geometry of Growth: Fluctuation–Dissipation Theorem and Hidden Symmetry [PDF]
Frontiers of Physics, 2021 Growth in crystals can be usually described by field equations such as the Kardar-Parisi-Zhang (KPZ) equation. While the crystalline structure can be characterized by Euclidean geometry with its peculiar symmetries, the growth dynamics creates a fractal ...
Petrus H. R. dos Anjos +4 more
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