Xi'an Key Laboratory of Advanced Photo-electronics Materials and Energy Conversion Device, School of Science, Xijing University, Xi'an 710123, China.
Shaanxi International Joint Research Center for Applied Technology of Controllable Neutron Source School of Science, Xijing University, Xi'an 710123, China.
Math Biosci Eng. 2022 Jan;19(2):1877-1890. doi: 10.3934/mbe.2022088. Epub 2021 Dec 20.
There is some evidence representing the sequential formation and elimination of electrical and chemical synapses in particular brain regions. Relying on this feature, this paper presents a purely mathematical modeling study on the synchronization among neurons connected by transient electrical synapses transformed to chemical synapses over time. This deletion and development of synapses are considered consecutive. The results represent that the transient synapses lead to burst synchronization of the neurons while the neurons are resting when both synapses exist constantly. The period of the transitions and also the time of presence of electrical synapses to chemical ones are effective on the synchronization. The larger synchronization error is obtained by increasing the transition period and the time of chemical synapses' existence.
有一些证据表明，特定脑区中的电突触和化学突触是依次形成和消除的。基于这一特征，本文提出了一个纯数学建模研究，研究了随时间由瞬态电突触转变为化学突触的神经元之间的同步性。这些突触的删除和发展被认为是连续的。结果表明，当两个突触持续存在时，瞬态突触会导致神经元在休息时爆发同步；而当只有电突触存在时，神经元不会同步。过渡时期的长短以及电突触向化学突触转变的时间都会对同步产生影响。通过增加过渡时期和化学突触存在的时间，可以获得更大的同步误差。
