The fractal brain: scale-invariance in structure and dynamics
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 …
dynamics in the brain. Although considerable progress has been made, a comprehensive …
Equilibrium and non-equilibrium statistical mechanics with generalized fractal derivatives: A review
AK Golmankhaneh, K Welch - Modern Physics Letters A, 2021 - World Scientific
Fractal calculus generalizes ordinary calculus, offering a way to differentiate otherwise non-
differentiable domains and phenomena. This paper discusses the equilibrium and non …
differentiable domains and phenomena. This paper discusses the equilibrium and non …
Multifractal analysis of temporal and spatial characteristics of earthquakes in Eurasian seismic belt
Seismic activity has complexity and randomness, and its temporal and spatial distribution
has complexity, stage, level, and inheritance. The study of the temporal and spatial …
has complexity, stage, level, and inheritance. The study of the temporal and spatial …
Empirical evidence for extended cognitive systems
We present an empirically supported theoretical and methodological framework for
quantifying the system‐level properties of person‐plus‐tool interactions in order to answer …
quantifying the system‐level properties of person‐plus‐tool interactions in order to answer …
Longitudinal brain tumor segmentation prediction in MRI using feature and label fusion
This work proposes a novel framework for brain tumor segmentation prediction in
longitudinal multimodal MRI scans, comprising two methods; feature fusion and joint label …
longitudinal multimodal MRI scans, comprising two methods; feature fusion and joint label …
Sensitivity analysis of fractal dimensions of crack maps on concrete and masonry walls
Assessing building damage after earthquakes requires a visual inspection of the damage,
indicated by maps of the cracking pattern on walls, which could be standardized via …
indicated by maps of the cracking pattern on walls, which could be standardized via …
Cerebral small vessel disease (CSVD)–lessons from the animal models
M Mustapha, CMNCM Nassir, N Aminuddin… - Frontiers in …, 2019 - frontiersin.org
Cerebral small vessel disease (CSVD) refers to a spectrum of clinical and imaging findings
resulting from pathological processes of various etiologies affecting cerebral arterioles …
resulting from pathological processes of various etiologies affecting cerebral arterioles …
Emergence of lump-like solitonic waves in Heimburg–Jackson biomembranes and nerves fractal model
RA El-Nabulsi - Journal of the Royal Society Interface, 2022 - royalsocietypublishing.org
The aim of this study is to extend the soliton propagation model in biomembranes and
nerves constructed by Heimburg and Jackson for the case of fractal dimensions. Our …
nerves constructed by Heimburg and Jackson for the case of fractal dimensions. Our …
Fractal spiking neural network scheme for EEG-based emotion recognition
W Li, C Fang, Z Zhu, C Chen… - IEEE Journal of …, 2023 - ieeexplore.ieee.org
Electroencephalogram (EEG)-based emotion recognition is of great significance for aiding in
clinical diagnosis, treatment, nursing and rehabilitation. Current research on this issue …
clinical diagnosis, treatment, nursing and rehabilitation. Current research on this issue …
Effect of fractional derivative properties on the periodic solution of the nonlinear oscillations
YO El-Dib, NS Elgazery - Fractals, 2020 - World Scientific
A periodic solution of the time-fractional nonlinear oscillator is derived based on the
Riemann–Liouville definition of the fractional derivative. In this approach, the particular …
Riemann–Liouville definition of the fractional derivative. In this approach, the particular …