Alireza Bahramian

• Ph.D. student at Melbourne University
• Research Assistant at University of Melbourne

Human locomotion may result from monotonic shifts in the referent position, R, of the body in the environment. R is also the spatial threshold at which muscles can be quiescent but are activated depending on the deflection of the current body configuration Q from R. Shifts in R are presumably accomplished with the participation of proprioceptive an...

This work introduces a three-dimensional, highly nonlinear quadratic oscillator with no linear terms in its equations. Most of the quadratic ordinary differential equations (ODEs) such as Chen, Rossler, and Lorenz have at least one linear term in their equations. Very few quadratic systems have been introduced and all of their terms are nonlinear....

This paper introduces a simple 1-dimensional map-based model of spiking neurons. During the past decades, dynamical models of neurons have been used to investigate the biology of human nervous systems. The models simulate experimental records of neurons’ voltages using difference or differential equations. Difference neuronal models have some advan...

Recently, chaotic dynamics and their properties have attracted lots of attention. Proposing new chaotic systems with unique features is a way of solving the mystery of generating chaotic dynamics. A 3D chaotic flow with infinite equilibria located on a line is proposed in this chapter. Dynamical behavior of the proposed system is investigated. The...

This chapter aims to expand the application of fractional-order cumulants to determine the types of connection and the directions of causalities' interactions among neurons. Fractional-order signal processing methods can provide a more in-depth interpretation of dynamical systems than their conventional integer counterparts. Therefore, in this chap...

Hidden attractors generated by the interactions of dynamical variables may have no equilibrium point in their basin of attraction. They have grabbed the attention of mathematicians who investigate strange attractors. Besides, quadratic hyperjerk systems are under the magnifying glass of these mathematicians because of their elegant structures. In t...

This paper introduces a two-layer network to investigate the effects of cortico-thalamic circuits on the cortexʼs collective behavior. In the brain, different parts of the cortex collaborate to process information. One of the main parts, which is the path of different cortex contacts, is the thalamus whose circuit is referred to as the “vertical” c...

In this paper, we propose and study a two-layer network composed of a Petri net in the first layer and a ring of coupled Hindmarsh–Rose neurons in the second layer. Petri nets are appropriate platforms not only for describing sequential processes but also for modeling information circulation in complex systems. Networks of neurons, on the other han...

Human movement is a ubiquitous variety of uncertainties that have been shown in experimental observations. External and internal uncertainties (noises) and inherent redundancy can be mentioned as the origins of these variabilities. The human motor control system must overcome existing disturbances to generate stable walking. Human locomotion system...

Previous studies suggest that visual information is essential for balance and stability of locomotion. We investigated whether visual deprivation is met with active reactions tending to minimize worsening balance and stability during walking in humans. We evaluated effects of vision on kinetic characteristics of walking on a treadmill-ground reacti...

Different types of models have been introduced for central pattern generators mostly based on coupled nonlinear oscillators. One of the most important responsibilities of a central pattern generators is to make an acceptable phase for each limb to make a stable motion. In nonlinear oscillators, the phase difference is made by means of commensurate...

Ion channels are responsible for allowing to pass ions from the membrane. They have an effective influence on cell activity. Several models have been presented to describe the kinetics of ion channels mostly based on probabilistic models. A chaotic-map-based model is presented in this research and it is shown the chaotic map can mimic many essentia...

Equilibrium point hypothesis (its developed version named as referent control theory) presents a theory about how the central nerves system (CNS) generates human movements. On the other hand, it has been shown that nerves circuits known as central pattern generators (CPG) likely produce motor commands to the muscles in rhythmic motions. In the pres...

Ion channels are responsible for allowing to pass ions from the membrane. They have an effective influence on cell activity. Several models have been presented to describe the kinetics of ion channels mostly based on probabilistic models. A chaotic-map-based model is presented in this research and it is shown the chaotic map can mimic many essentia...

Hip retraction is a phenomenon observed in human walking. The swing leg rotates backward at the end of the motion. Its positive effect on motion stability was reported in the literature based on some simple models for running or walking. In this study, it is shown that hip retraction angle increases in humans during their ascending and descending w...