Dynamics of coupled nonlinear neuronal-astrocyte model
Source abstract
Abstract
More evidence indicates that central nervous system diseases are related to abnormal regulation of the reciprocal expression of nerve cells and astrocytes. In this paper, we investigated the dynamics of a model incorporating both a neuron and an astrocyte to elucidate the effective interaction between the two components. In this coupled system, external stimulation is applied to the neuron and the astrocyte, respectively. The results showed that after successive stimuli separated by 20 s, both neurons and astrocytes can exhibit the so-called hyperexcitability and nonlinear wave characterized by a decrease in the threshold for activation and an increase in spontaneous firing rate. Furthermore, this paper reveals the potential dynamic changes in the formation and disappearance of hyperexcitability and its transition mechanisms. It can be helpful for further understanding the bifurcation behavior during the progression of central nervous system dysfunction.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: stochastic dynamics and bifurcation · Neural dynamics and brain function · Neural Networks Stability and Synchronization
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
School of Mathematics and Physics, Guangxi Minzu University 1 , Nanning 530006, Guangxi, People’s Republic of China
Center for Applied Mathematics of Guangxi, Guangxi Minzu University 2 , Nanning 530006, Guangxi, People’s Republic of China
Funding
National Natural Science Foundation of China · Natural Science Foundation of Guangxi Minzu University · Guangxi Natural Science Foundation · Guangxi Science and Technology Program
References (31)
Show source-provided references
1. Intercellular signaling in glial cells: Calcium waves and oscillations in response to mechanical stimulation and glutamate10.1016/0896-6273(91)90238-u ↗
2. Functions of astrocytes and their potential as therapeutic targets10.1016/j.nurt.2010.07.006 ↗
3. Why are astrocytes important?10.1007/s11064-014-1403-2 ↗
4. Tripartite synapses: Astrocytes process and control synaptic information10.1016/j.tins.2009.05.001 ↗
5. Astrocyte-neuron interaction at tripartite synapses10.2174/13894501113149990203 ↗
6. Modeling synaptic transmission of the tripartite synapse10.1088/1478-3975/4/1/001 ↗
7. Spontaneous oscillations of dressed neurons: A new mechanism for epilepsy?10.1103/physrevlett.91.268101 ↗
8. Biophysical neurons, energy, and synapse controllability: A review10.1631/jzus.a2200469 ↗
9. Dynamical response of a neuron–astrocyte coupling system under electromagnetic induction and external stimulation10.1088/1674-1056/ab7441 ↗
10. Dynamic transition on the seizure-like neuronal activity by astrocytic calcium channel block10.1016/j.chaos.2016.08.009 ↗
11. Dynamical patterns of calcium signaling in a functional model of neuron–astrocyte networks10.1007/s10867-009-9156-x ↗
12. Mathematical investigation of IP3-dependent calcium dynamics in astrocytes10.1007/s10827-017-0640-1 ↗
13. Computational models for calcium-mediated astrocyte functions10.3389/fncom.2018.00014 ↗
14. An astrocytic basis of epilepsy10.1038/nm1277 ↗
15. Role of astrocytes in epilepsy10.1101/cshperspect.a022434 ↗
16. Dysregulation of astrocyte–neuronal communication in Alzheimer’s disease10.3390/ijms22157887 ↗
17. Astrocyte–neuron interplay is critical for Alzheimer’s disease pathogenesis and is rescued by TRPA1 channel blockade10.1093/brain/awab281 ↗
18. Neuron-astrocyte interactions in Parkinson’s disease10.3390/cells9122623 ↗
19. Dynamical regulation of epileptiform discharges caused by abnormal astrocyte function with optogenetic stimulation10.1016/j.chaos.2022.112720 ↗
20. Computational models of neuron-astrocyte interaction in epilepsy10.3389/fncom.2012.00058 ↗
21. Mathematical modelling of dendritic complexity mechanism in Alzheimer’s disease10.1063/5.0163400 ↗
22. Design, analysis, circuit implementation, and synchronization of a new chaotic system with application to information encryption10.1063/5.0161382 ↗
23. Modeling of memristor-based Hindmarsh-Rose neuron and its dynamical analyses using energy method10.1016/j.apm.2021.09.003 ↗
24. Dynamical analysis of astrocyte-induced neuronal hyper-excitation10.1007/s11071-022-08202-y ↗
25. 2012
26. Channel block of the astrocyte network connections accounting for the dynamical transition of epileptic seizures10.1007/s11071-021-06737-0 ↗
27. Transition dynamics and optogenetic control of epileptiform activity in a modified mean filed model of human cortex10.1016/j.cnsns.2022.106812 ↗
28. Dynamic transition of neuronal firing induced by abnormal astrocytic glutamate oscillation10.1038/srep32343 ↗
29. Transition dynamics of generalized periodic discharges observed in EEG waveforms10.1142/s0218127419300386 ↗
30. Equations for InsP3 receptor-mediated [Ca2+]i oscillations derived from a detailed kinetic model: A Hodgkin-Huxley like formalism10.1006/jtbi.1994.1041 ↗
31. A model of neuronal bursting using three coupled first order differential equations10.1098/rspb.1984.0024 ↗