θ振荡(4〜8 H z)是与学习、记忆等高级功能密切相关的低频脑节律,源于脑深处皮质区,头表面以额叶、颞叶最丰富。神经科学实验发现,该节律在脑内以一定方式传播,因成像技术局限和脑组织导电复杂性,其对头表面脑电节律的影响鲜有报告。依...θ振荡(4〜8 H z)是与学习、记忆等高级功能密切相关的低频脑节律,源于脑深处皮质区,头表面以额叶、颞叶最丰富。神经科学实验发现,该节律在脑内以一定方式传播,因成像技术局限和脑组织导电复杂性,其对头表面脑电节律的影响鲜有报告。依据等效偶极子电流源的脑电产生原理,以脑内低频单偶极子电流源(6Hz正弦)偶极矩来仿真节律源驱动方向(以额叶为例定义指向),改变指向角度(以30°为移动单位),用有限元法计算电场,并对节律动态参量(大于平均值的显著能量、窄带相位)进行全局统计并对比。实验发现:脑内节律源在指向额叶表面传播时,几乎在所有指向角度下各向异性媒质会缩小显著能量空间;相反地,当源平行于额叶表面传播时,在所有指向角度下各向异性媒质会扩展显著能量空间,能量对源指向具有敏感性,而相位稳定性减小,只与脑内节律源非线性相位时程有关,对该指向不敏感。结果表明,脑内低频节律源传播方向对头表面场电位动态参量作用不同。该研究为理解头表面低频节律动态参量提供电场计算依据,有助于理解脑内电活动、脑组织导电特性和头表面场电位动态参量之间的映射关系。展开更多
To further identify the dynamics of the period-adding bifurcation scenarios observed in both biological experiment and simulations with differential Chay model, this paper fits a discontinuous map of a slow control va...To further identify the dynamics of the period-adding bifurcation scenarios observed in both biological experiment and simulations with differential Chay model, this paper fits a discontinuous map of a slow control variable of Chay model based on simulation results. The procedure of period adding bifurcation scenario from period k to period k ＋ 1 bursting （k = 1, 2, 3, 4） involved in the period-adding cascades and the stochastic effect of noise near each bifurcation point is also reproduced in the discontinuous map. Moreover, dynamics of the border-collision bifurcation is identified in the discontinuous map, which is employed to understand the experimentally observed period increment sequence. The simple discontinuous map is of practical importance in modeling of collective behaviours of neural populations like synchronization in large neural circuits.展开更多
Two different bifurcation scenarios, one is novel and the other is relatively simpler, in the transition procedures of neural firing patterns are studied in biological experiments on a neural pacemaker by adjusting tw...Two different bifurcation scenarios, one is novel and the other is relatively simpler, in the transition procedures of neural firing patterns are studied in biological experiments on a neural pacemaker by adjusting two parameters. The experimental observations are simulated with a relevant theoretical model neuron. The deterministic nonperiodic firing pattern lying within the novel bifurcation scenario is suggested to be a new case of chaos, which has not been observed in previous neurodynamical experiments.展开更多
This paper reports that the synchronous integer multiple oscillations of heart-cell networks or clusters are observed in the biology experiment. The behaviour of the integer multiple rhythm is a transition between sup...This paper reports that the synchronous integer multiple oscillations of heart-cell networks or clusters are observed in the biology experiment. The behaviour of the integer multiple rhythm is a transition between super- and sub- threshold oscillations, the stochastic mechanism of the transition is identified. The similar synchronized oscillations are theoretically reproduced in the stochastic network composed of heterogeneous cells whose behaviours are chosen as excitable or oscillatory states near a Hopf bifurcation point. The parameter regions of coupling strength and noise density that the complex oscillatory rhythms can be simulated are identified. The results show that the rhythm results from a simple stochastic alternating process between super- and sub-threshold oscillations. Studies on single heart cells forming these clusters reveal excitable or oscillatory state nearby a Hopf bifurcation point underpinning the stochastic alternation. In discussion, the results are related to some abnormal heartbeat rhythms such as the sinus arrest.展开更多
Dissolved cardiac myocytes can couple together and generate synchronous beatings in culture. We observed a synchronized early after-depolarization（EAD）-like rhythm in cultured cardiac myocytes and reproduced the exp...Dissolved cardiac myocytes can couple together and generate synchronous beatings in culture. We observed a synchronized early after-depolarization（EAD）-like rhythm in cultured cardiac myocytes and reproduced the experimental observation in a network mathematical model whose dynamics are close to a Hopf bifurcation. The mechanism for this EAD-like rhythm is attributed to noised-induced stochastic alternatings between the focus and the limit cycle. These results provide novel understandings for pathological heart rhythms like the early immature beatings.展开更多
Multiple spatial coherence resonances and spiral waves with various temporal-spatial structures are simulated in a two-dimensional network of excitable cells driven by a stochastic signal. The relationship between the...Multiple spatial coherence resonances and spiral waves with various temporal-spatial structures are simulated in a two-dimensional network of excitable cells driven by a stochastic signal. The relationship between the multiple resonances and correspondingly different transitions of the spiral wave are elucidated. The results further provide a possible approach of applications of stochastic signal to evoke pattern transitions in excitable media.展开更多
文摘θ振荡(4〜8 H z)是与学习、记忆等高级功能密切相关的低频脑节律,源于脑深处皮质区,头表面以额叶、颞叶最丰富。神经科学实验发现,该节律在脑内以一定方式传播,因成像技术局限和脑组织导电复杂性,其对头表面脑电节律的影响鲜有报告。依据等效偶极子电流源的脑电产生原理,以脑内低频单偶极子电流源(6Hz正弦)偶极矩来仿真节律源驱动方向(以额叶为例定义指向),改变指向角度(以30°为移动单位),用有限元法计算电场,并对节律动态参量(大于平均值的显著能量、窄带相位)进行全局统计并对比。实验发现:脑内节律源在指向额叶表面传播时,几乎在所有指向角度下各向异性媒质会缩小显著能量空间;相反地,当源平行于额叶表面传播时,在所有指向角度下各向异性媒质会扩展显著能量空间,能量对源指向具有敏感性,而相位稳定性减小,只与脑内节律源非线性相位时程有关,对该指向不敏感。结果表明,脑内低频节律源传播方向对头表面场电位动态参量作用不同。该研究为理解头表面低频节律动态参量提供电场计算依据,有助于理解脑内电活动、脑组织导电特性和头表面场电位动态参量之间的映射关系。
基金Project supported by the National Natural Science Foundation of China(Grant Nos.10774088,10772101,30770701 and 10875076)the Fundamental Research Funds for the Central Universities(Grant No.GK200902025)
文摘To further identify the dynamics of the period-adding bifurcation scenarios observed in both biological experiment and simulations with differential Chay model, this paper fits a discontinuous map of a slow control variable of Chay model based on simulation results. The procedure of period adding bifurcation scenario from period k to period k ＋ 1 bursting （k = 1, 2, 3, 4） involved in the period-adding cascades and the stochastic effect of noise near each bifurcation point is also reproduced in the discontinuous map. Moreover, dynamics of the border-collision bifurcation is identified in the discontinuous map, which is employed to understand the experimentally observed period increment sequence. The simple discontinuous map is of practical importance in modeling of collective behaviours of neural populations like synchronization in large neural circuits.
基金Supported by the National Natural Science Foundation of China under Grant Nos 10772101, 30770701 and 10432010, and the National High-Technology Research and Development Programme of China under Grant No 2007AA02Z310.
文摘Two different bifurcation scenarios, one is novel and the other is relatively simpler, in the transition procedures of neural firing patterns are studied in biological experiments on a neural pacemaker by adjusting two parameters. The experimental observations are simulated with a relevant theoretical model neuron. The deterministic nonperiodic firing pattern lying within the novel bifurcation scenario is suggested to be a new case of chaos, which has not been observed in previous neurodynamical experiments.
基金supported by the National Natural Science Foundation of China (Grant Nos. 10772101 and 30670533)the National High Technology Research and Development Program of China (Grant No. 2007AA02Z310)the Fundamental Research Funds for the Central Universities (Grant No. GK200902025)
文摘This paper reports that the synchronous integer multiple oscillations of heart-cell networks or clusters are observed in the biology experiment. The behaviour of the integer multiple rhythm is a transition between super- and sub- threshold oscillations, the stochastic mechanism of the transition is identified. The similar synchronized oscillations are theoretically reproduced in the stochastic network composed of heterogeneous cells whose behaviours are chosen as excitable or oscillatory states near a Hopf bifurcation point. The parameter regions of coupling strength and noise density that the complex oscillatory rhythms can be simulated are identified. The results show that the rhythm results from a simple stochastic alternating process between super- and sub-threshold oscillations. Studies on single heart cells forming these clusters reveal excitable or oscillatory state nearby a Hopf bifurcation point underpinning the stochastic alternation. In discussion, the results are related to some abnormal heartbeat rhythms such as the sinus arrest.
基金Supported by the National Natural Science Foundation of China under Grant Nos 30670533 and 10772101, and the National High Technology Research and Development Program under Grant No 2007AA02Z310.
文摘Dissolved cardiac myocytes can couple together and generate synchronous beatings in culture. We observed a synchronized early after-depolarization（EAD）-like rhythm in cultured cardiac myocytes and reproduced the experimental observation in a network mathematical model whose dynamics are close to a Hopf bifurcation. The mechanism for this EAD-like rhythm is attributed to noised-induced stochastic alternatings between the focus and the limit cycle. These results provide novel understandings for pathological heart rhythms like the early immature beatings.
基金Supported by the National Natural Science Foundation of China under Grant Nos 10772101, 30670533 and 10432010, and the National High-Technology Research and Development Programme of China under Grant No 2007AA02Z310.
文摘Multiple spatial coherence resonances and spiral waves with various temporal-spatial structures are simulated in a two-dimensional network of excitable cells driven by a stochastic signal. The relationship between the multiple resonances and correspondingly different transitions of the spiral wave are elucidated. The results further provide a possible approach of applications of stochastic signal to evoke pattern transitions in excitable media.
