物理学报2012，Vol.61Issue(8)：72-81,10.
一类位于加周期分岔中的貌似混沌的随机神经放电节律的识别
Identification of a stochastic neural firing rhythm lying in period-adding bifurcation and resembling chaos
摘要
Abstract
To identify non-periodic neural rhythm to be chaos or stochasticity has been an important scientific thesis. A kind of non- periodic spontaneous firing pattern, whose behavior is transition between period-k burst in a string and period-k ＋ 1 burst in a string （k = 1, 2）, lying between period-k bursting pattern and period-k ＋ 1 bursting pattern, is found in the experimental neural pacemaker. The deterministic structures of the firing are identified by nonlinear prediction and first return map of the interspike intervals （ISis） series. The co-existence of the period-k bursting and period-k ＋ 1 bursting is manifested in the deterministic theoretical neuronal model, Chay model. Non-periodic firing patterns similar to the experimental observation are simulated in the co-existing parameter region, implying that the firing pattern is transition between two kinds of bursts induced by noise. A binary series can be acquired by transforming two kinds of bursts to symbols 0 and 1, respectively. The stochastic dynamics within the transitions between two kinds of bursts are detected by probability analysis on the binary series. It not only shows that the rhythm is stochastic firing with deterministic structures instead of chaos, but also provides the typical examples and effective methods to intensively identify the chaotic and stochastic firing patterns in a real nervous system.关键词
混沌/随机节律/神经放电/加周期分岔Key words
chaos/stochastic rhythm/neural firing pattern/period-adding bifurcation分类
生物科学引用本文复制引用
古华光,惠磊,贾冰..一类位于加周期分岔中的貌似混沌的随机神经放电节律的识别[J].物理学报,2012,61(8):72-81,10.基金项目
国家自然科学基金（批准号：11072135,10772101,10432010,30300107）和中央高等学校基本科研基金（批准号：GK200902025）资助的课题. （）
