Instituto de Física, Universidade Federal de Alagoas, Maceió, Alagoas 57072-970, Brazil.
Departamento de Informática en Salud, Hospital Italiano de Buenos Aires and CONICET, C1199ABB, Ciudad Autónoma de Buenos Aires, Argentina.
Phys Rev E. 2019 Jun;99(6-1):062411. doi: 10.1103/PhysRevE.99.062411.
Two identical autonomous dynamical systems unidirectionally coupled in a sender-receiver configuration can exhibit anticipated synchronization (AS) if the receiver neuron also receives a delayed negative self-feedback. Recently, AS was shown to occur in a three-neuron motif with standard chemical synapses where the delayed inhibition was provided by an interneuron. Here, we show that a two-neuron model in the presence of an inhibitory autapse, which is a massive self-innervation present in the cortical architecture, may present AS. The GABAergic autapse regulates the internal dynamics of the receiver neuron and acts as the negative delayed self-feedback required by dynamical systems in order to exhibit AS. In this biologically plausible scenario, a smooth transition from the usual delayed synchronization (DS) to AS typically occurs when the inhibitory conductance is increased. The phenomenon is shown to be robust when model parameters are varied within a physiological range. For extremely large values of the inhibitory autapse the system undergoes to a phase-drift regime in which the receiver is faster than the sender. Furthermore, we show that the inhibitory autapse promotes a faster internal dynamics of the free-running Receiver when the two neurons are uncoupled, which could be the mechanism underlying anticipated synchronization and the DS-AS transition.
两个完全相同的自治动力系统在发送器-接收器配置中单向耦合，如果接收器神经元也接收到延迟的负自我反馈，那么它们可以表现出预期同步（AS）。最近，在具有标准化学突触的三神经元模式中已经显示出 AS 的发生，其中延迟抑制由中间神经元提供。在这里，我们展示了在存在抑制性自突触的情况下的两个神经元模型，自突触是皮质结构中存在的大规模自我神经支配，可能会出现 AS。GABA 能性自突触调节接收神经元的内部动力学，并作为动力系统表现出 AS 所必需的负延迟自我反馈。在这种具有生物学意义的情况下，当抑制性电导增加时，通常会从通常的延迟同步（DS）平稳过渡到 AS。当模型参数在生理范围内变化时，该现象被证明是稳健的。对于抑制性自突触的极大值，系统经历相位漂移状态，其中接收器比发送器快。此外，我们还表明，当两个神经元解耦时，抑制性自突触促进了自由运行的接收器更快的内部动力学，这可能是预期同步和 DS-AS 转换的机制。
