The fractal brain: scale-invariance in structure and dynamics

GF Grosu, AV Hopp, VV Moca, H Bârzan… - Cerebral …, 2023 - academic.oup.com
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 …

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 …

Multifractal analysis of temporal and spatial characteristics of earthquakes in Eurasian seismic belt

J Chen, L Wen, C Bi, Z Liu, X Liu, L Yin… - Open Geosciences, 2023 - degruyter.com
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 …

Empirical evidence for extended cognitive systems

LH Favela, MJ Amon, L Lobo, A Chemero - Cognitive Science, 2021 - Wiley Online Library
We present an empirically supported theoretical and methodological framework for
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

L Pei, S Bakas, A Vossough, SMS Reza… - … signal processing and …, 2020 - Elsevier
This work proposes a novel framework for brain tumor segmentation prediction in
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

A Rezaie, AJP Mauron, K Beyer - Automation in Construction, 2020 - Elsevier
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 …

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 …

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 …

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 …

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 …