The fractal degree of adsorption on the multi-walled carbon nanotube has been investigated. The fractal-like Langmuir kinetics model has been used to obtain the fractal degree of ion adsorption on multi-walled carbon nanotube. The behavior of the fractal-like kinetics equation was compared with some famous rate equations like Langmuir, pseudo-first-order and pseudo-second-order equations. It is...

This paper presents the author’s scientific hypothesis on the effect of fractal flickering, which exhibits scale invariance with time, on the evoked responses of the retina [electroretinogram (ERG)] and visual cortex [visual-evoked cortical potentials (VEP)] in norm and neurodegenerative disorders. A new approach for ERG and VEP studies is proposed. In the proposed approach, standard stimuli ar...

To seek for a possible origin of fractal pattern in nature, we perform a molecular dynamics simulation for a fragmentation of an infinite fcc lattice. The fragmentation is induced by the initial condition of the model that the lattice particles have the Hubble-type radial expansion velocities. As time proceeds, the average density decreases and density fluctuation develops. By using the box cou...

We developed a new algorithm to measure the fractal dimension, or complexity, of the human cerebral cortex. Cortical complexity was found to be significantly increased in Williams syndrome, a genetic condition associated with deletion of ~20 contiguous genes on chromosome 7 [cf. 1,2]. Most prior complexity measures such as the gyrification index [2,3] typically measure the cortical contour in a...

In this work, SiO2 –ZrO2 mixed oxides was prepared by the polymeric sol–gel route. The characterization of pore structure, which determines the permeation process of membrane, is of great importance. So far, most investigations have focused on such pore structure as specific surface area and pore size distribution, but the surface fractal, the important parameter reflecting the roughness of por...

A simple model for motion of dust particle (meteoroid) under the action of (solar) electromagnetic radiation is presented. The particle of the form of plane mirror is taken into account and exact analytical results are presented. As for long-term orbital evolution, particle may spiral outwards the central body (Sun); initial conditions are important. As a consequence, motion of real dust partic...

The electroencephalogram (EEG) is a record of the oscillations of brain electric potentials. The EEG provides a convenient window on the mind, revealing synaptic action that strongly co-relate with brain state. Fractal dimension, the measure of signal complexity can be used to characterize the physiological conditions of the brain. As the EEG signal is non linear, non stationary and noisy, non ...

The fractal structure of a white cauliflower is investigated by using the box-counting method on its cross section. The capacity dimension of the cross section is 1.88 ± 0.02, independent of the direction. From the result, we predict that the capacity dimension of a cauliflower is about 2.8. The vertical cross section of a cauliflower is modeled into a self-similar set of a rectangular tree. We...

Fractal Image compression is a ground-breaking image compression technique in the area of image processing. This technique is based on fractals rather than pixels. It is advantageous in compression ratio, decompression speed, bitrate and resolution independence. But in conjunction with above advantages, the encoding phase of this technique consumes huge time, which is a major drawback and restr...

It is assumed the existence of the universal potential fluctuations valid for all scales in the universe which follow the fractal law δU = (∆r/r) . The value of the universal potential fluctuations is determined from the data on anisotropy of the cosmic microwave background on degree scales. It is suggested to test the existence of the universal potential fluctuations in the laboratory experime...