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Fractal Growth from Local Instabilities
We study, both with numerical simulations and theoretical methods, a cellular automata model for continuum equations describing growth processes in the presence of an external flux of particles. As a result of local instabilities we find a fractal regime
Cafiero, Raffaele, Caldarelli, Guido
core +2 more sources
A higher Dimensional Marcinkiewicz Exponent and the Riemann Boundary Value Problems for Polymonogenic Functions on Fractals Domains [PDF]
Carlos Daniel Tamayo Castro +1 more
openalex +1 more source
Spectral Asymmetry and Higuchi's Fractal Dimension Measures of Depression Electroencephalogram
This study was aimed to compare two electroencephalogram (EEG) analysis methods, spectral asymmetry index (SASI) and Higuchi's fractal dimension (HFD), for detection of depression. Linear SASI method is based on evaluation of the balance of powers in two
M. Bachmann +3 more
semanticscholar +1 more source
Psychedelic drugs, such as psilocybin and LSD, represent unique tools for researchers investigating the neural origins of consciousness. Currently, the most compelling theories of how psychedelics exert their effects is by increasing the complexity of ...
Thomas F. Varley +4 more
doaj +1 more source
Use the information dimension, not the Hausdorff [PDF]
Multi-fractal patterns occur widely in nature. In developing new algorithms to determine multi-fractal spectra of experimental data I am lead to the conclusion that generalised dimensions $D_q$ of order $q\leq0$, including the Hausdorff dimension, are ...
Roberts, A. J.
core +1 more source
Atomic Scale Fractal Dimensionality in Proteins
The soft condensed matter of biological organisms exhibits atomic motions whose properties depend strongly on temperature and hydration conditions. Due to the superposition of rapidly fluctuating alternative motions at both very low temperatures (quantum
Allan Widom, Duccio Medini, Lehnert U.
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Fractals with optimal information dimension [PDF]
Relevant data is included in the paper.
openaire +1 more source
Fractal dimension of chromatin: potential molecular diagnostic applications for cancer prognosis
Fractal characteristics of chromatin, revealed by light or electron microscopy, have been reported during the last 20 years. Fractal features can easily be estimated in digitalized microscopic images and are helpful for diagnosis and prognosis of ...
K. Metze
semanticscholar +1 more source
Diagnosis of B-CLL Leukemia Using Fractal Dimension [PDF]
Background:Leukemia is cancer of blood and bone marrow cells. In general, there are four types of leukemia: chronic myelogenous leukemia (CML), acute myeloid leukemia (AML), B-cell chronic lymphocytic leukemia (CLL) and acute lymphoblastic leukemia (ALL).
Tohid Yousefzadeh Hassanluie +2 more
doaj
Box-covering algorithm for fractal dimension of weighted networks
Box-covering algorithm is a widely used method to measure the fractal dimension of complex networks. Existing researches mainly deal with the fractal dimension of unweighted networks.
Daijun Wei +5 more
semanticscholar +1 more source

