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Frontiers in Human Dynamics, 2023 Although there is a growing interest in transdisciplinary knowledge co-production approaches applied to rangeland political ecology, the research paradigms and methodologies still dominating this field of research leave little room for equitable ...
Federica Ravera +4 more
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The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity, 2021 We develop a new definition of fractals which can be considered as an abstraction of the fractals determined through self-similarity. The definition is formulated through imposing conditions which are governed the relation between the subsets of a metric space to build a porous self-similar structure.
Akhmet, Marat, Alejaily, Ejaily Milad
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Fractal Calculus on Fractal Interpolation Functions [PDF]
Fractal and Fractional, 2021 In this paper, fractal calculus, which is called Fα-calculus, is reviewed. Fractal calculus is implemented on fractal interpolation functions and Weierstrass functions, which may be non-differentiable and non-integrable in the sense of ordinary calculus.
Gowrisankar, Arulprakash +2 more
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Heterogeneity in Vaccinal Immunity to SARS-CoV-2 Can Be Addressed by a Personalized Booster Strategy
Vaccines, 2023 SARS-CoV-2 vaccinations were initially shown to substantially reduce risk of severe disease and death. However, pharmacokinetic (PK) waning and rapid viral evolution degrade neutralizing antibody (nAb) binding titers, causing loss of vaccinal protection.
Madison Stoddard +9 more
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Fractal Pharmacokinetics [PDF]
Computational and Mathematical Methods in Medicine, 2009 Pharmacokinetics (PK) has been traditionally dealt with under the homogeneity assumption. However, biological systems are nowadays comprehensively understood as being inherently fractal. Specifically, the microenvironments where drug molecules interact with membrane interfaces, metabolic enzymes or pharmacological receptors, are unanimously recognized ...
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Fractal dimension for fractal structures
Topology and its Applications, 2014 The main goal of this paper has a double purpose. On the one hand, we propose a new definition in order to compute the fractal dimension of a subset respect to any fractal structure, which completes the theory of classical box-counting dimension. Indeed, if we select the so called natural fractal structure on each euclidean space, then we will get the ...
Fernández-Martínez, M. +1 more
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Constructive Approximation, 2013 A fractal function is a function whose graph is the attractor of an iterated function system. This paper generalizes analytic continuation of an analytic function to continuation of a fractal function.
Barnsley, Michael, vince, Andrew
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Frontiers in Physiology, 2012 WHEN INVESTIGATING FRACTAL PHENOMENA, THE FOLLOWING QUESTIONS ARE FUNDAMENTAL FOR THE APPLIED RESEARCHER: (1) What are essential statistical properties of 1/f noise? (2) Which estimators are available for measuring fractality? (3) Which measurement instruments are appropriate and how are they applied?
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Physica Scripta, 1989 An overview is given of the known relations between various dynamical properties of fractal structure, such as vibration density, diffusion and electrical resistivity. Examples are given from the family of walk-generated fractals: SAW with and without bridges, k-tolerant walks and randorn walks.
Dekeyser, Raf +3 more
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Design of Fractal- Based Bandstop Filter for Microwave Radiation Leakage Reduction [PDF]
Engineering and Technology Journal, 2017 There is a continuing concern over the risks associated with the use of microwave ovens because of the probable effects of the radiation leakage on the health of the individuals.
H Ahmed, J Ali, Ali Salim
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