Application of a Time-Delay Model of the Plykin - Newhouse Attractor to Study the Dynamics of Neuro - Degeneration by Electroencephalography of the Brain

Abstract

Neurodegeneration is the progressive loss of structure or function of neurons, which may ultimately involve cell death. Many neurodegenerative diseases-such as amyotrophic lateral sclerosis, multiple sclerosis, Parkinson's disease, Alzheimer's disease, Huntington's disease, and prion diseases-occur as a result of neurodegenerative processes. Neurodegeneration can be found in the brain at many different levels of neuronal circuitry, ranging from molecular to systemic. Because there is no known way to reverse the progressive degeneration of neurons, these diseases are considered to be incurable. Biomedical research has revealed many similarities between these diseases at the sub-cellular level, including atypical protein assemblies (like proteopathy) and induced cell death. These similarities suggest that advances against one neurodegenerative disease might ameliorate other diseases as well. In this report, an autonomous physical system is used, which is represented by a Smale Williams hyperbolic type attractor. Dynamics and evolution of neurodegeneration The Plykin-Newkhoz attractor model with the Piragas method is applied