Mathew P Dafilis, Federico Frascoli, Peter J Cadusch, David T J Liley
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引用次数: 5
摘要
背景:在之前的一项研究中(Dafilis et al. In Chaos 23(2):023111, 2013)， Liley的脑电图介观模型提供了四维混沌的证据。研究仅限于模型方程的一个参数集。发现:在本报告中，我们通过提出四维混沌行为扩展到生物可接受参数空间的大面积的证据来扩展该结果。双参数分岔分析强调了产生这种混沌所涉及的动态景观的复杂性。结论:在一个完善的心律失常生理模型中广泛存在高阶混沌，进一步强调了平均场介观模型在理论、实验和临床水平上描述脑活动的适用性和相关性。
Extensive Four-Dimensional Chaos in a Mesoscopic Model of the Electroencephalogram.
Background: In a previous work (Dafilis et al. in Chaos 23(2):023111, 2013), evidence was presented for four-dimensional chaos in Liley's mesoscopic model of the electroencephalogram. The study was limited to one parameter set of the model equations.
Findings: In this report we expand that result by presenting evidence for the extension of four-dimensional chaotic behavior to a large area of the biologically admissible parameter space. A two-parameter bifurcation analysis highlights the complexity of the dynamical landscape involved in the creation of such chaos.
Conclusions: The extensive presence of high-order chaos in a well-established physiological model of electrorhythmogenesis further emphasizes the applicability and relevance of mean field mesoscopic models in the description of brain activity at theoretical, experimental, and clinical levels.
期刊介绍：
The Journal of Mathematical Neuroscience (JMN) publishes research articles on the mathematical modeling and analysis of all areas of neuroscience, i.e., the study of the nervous system and its dysfunctions. The focus is on using mathematics as the primary tool for elucidating the fundamental mechanisms responsible for experimentally observed behaviours in neuroscience at all relevant scales, from the molecular world to that of cognition. The aim is to publish work that uses advanced mathematical techniques to illuminate these questions.
It publishes full length original papers, rapid communications and review articles. Papers that combine theoretical results supported by convincing numerical experiments are especially encouraged.
Papers that introduce and help develop those new pieces of mathematical theory which are likely to be relevant to future studies of the nervous system in general and the human brain in particular are also welcome.
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