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 …

The role of the circadian system in fractal neurophysiological control

BR Pittman‐Polletta, FAJL Scheer, MP Butler… - Biological …, 2013 - Wiley Online Library
Many neurophysiological variables such as heart rate, motor activity, and neural activity are
known to exhibit intrinsic fractal fluctuations–similar temporal fluctuation patterns at different …

Fractals in the nervous system: conceptual implications for theoretical neuroscience

G Werner - Frontiers in physiology, 2010 - frontiersin.org
This essay is presented with two principal objectives in mind: first, to document the
prevalence of fractals at all levels of the nervous system, giving credence to the notion of …

Membrane capacitive memory alters spiking in neurons described by the fractional-order Hodgkin-Huxley model

SH Weinberg - PloS one, 2015 - journals.plos.org
Excitable cells and cell membranes are often modeled by the simple yet elegant parallel
resistor-capacitor circuit. However, studies have shown that the passive properties of …

Transfer of calibration between hand and foot: Functional equivalence and fractal fluctuations

DG Stephen, A Hajnal - Attention, Perception, & Psychophysics, 2011 - Springer
Transfer of competency in a perceptual task often depends on shared information between
anatomically different perceptual subsystems. The problem of studying transfer involves …

A Review of Theoretical Perspectives in Cognitive Science on the Presence of 1/f Scaling in Coordinated Physiological and Cognitive Processes

ML Wijnants - Journal of Nonlinear Dynamics, 2014 - Wiley Online Library
Time series of human performances present fluctuations around a mean value. These
fluctuations are typically considered as insignificant, and attributable to random noise. Over …

Elements of the cellular metabolic structure

IM De la Fuente - Frontiers in Molecular Biosciences, 2015 - frontiersin.org
A large number of studies have demonstrated the existence of metabolic covalent
modifications in different molecular structures, which are able to store biochemical …

Selectivity filter conductance, rectification and fluctuations of subdomains—How can this all relate to the value of Hurst exponent in the dwell-times of ion channels …

P Borys, P Trybek, B Dworakowska… - Chaos, Solitons & …, 2024 - Elsevier
The Hurst effect in the signals describing ion channels' activity has been known for many
years. This effect is present in the experimental recordings of single-channel currents, but …

Memory in ion channel kinetics

MP Silva, CG Rodrigues, WA Varanda, RA Nogueira - Acta Biotheoretica, 2021 - Springer
Ion channels are transport proteins present in the lipid bilayers of biological membranes.
They are involved in many physiological processes, such as the generation of nerve …

Short and long-range correlations in single-channel currents from inwardly rectifying K+ channels

GJ Félix-Martínez, A Picones… - Chaos, Solitons & …, 2024 - Elsevier
Ion channels mediate the transport of ions through the cell membrane and are involved in
key processes such as muscle contraction, nerve excitability and hormone secretion. For …