应用Plykin - Newhouse吸引子时滞模型研究脑脑电图神经退行性变动力学

S. Belyakin, S. Shuteev
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引用次数: 0

摘要

神经变性是指神经元结构或功能的逐渐丧失,最终可能导致细胞死亡。许多神经退行性疾病,如肌萎缩性侧索硬化症、多发性硬化症、帕金森病、阿尔茨海默病、亨廷顿病和朊病毒病,都是神经退行性过程的结果。神经退行性变可以在从分子到系统的许多不同层次的神经回路中发现。因为没有已知的方法来逆转神经元的进行性退化,这些疾病被认为是无法治愈的。生物医学研究揭示了这些疾病在亚细胞水平上的许多相似之处,包括非典型蛋白质组装(如蛋白质病)和诱导细胞死亡。这些相似之处表明,治疗一种神经退行性疾病的进展也可能改善其他疾病。在本报告中,使用了一个自治的物理系统,该系统由一个Smale Williams双曲型吸引子表示。应用了Plykin-Newkhoz吸引子模型和Piragas方法
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Application of a Time-Delay Model of the Plykin - Newhouse Attractor to Study the Dynamics of Neuro - Degeneration by Electroencephalography of the Brain
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
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