Dynamics of a minimal neural model consisting of an astrocyte, a neuron, and an interneuron

Garbo, Angelo Di

doi:10.1007/s10867-009-9143-2

Cited by 25 publications

(26 citation statements)

References 61 publications

(132 reference statements)

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“…It should be mentioned that, Di Garbo (2009) has also considered a minimal network model consisting of a pyramidal neuron, an interneuron, and an astrocyte. The main focus of his study was to investigate the dynamical properties of the model describing calcium dynamics in the astrocyte.…”

Section: Discussionmentioning

confidence: 99%

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On the role of astrocytes in synchronization of two coupled neurons: a mathematical perspective

2011

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Based on recent findings, astrocytes, a subtype of glial cells, dynamically regulate the synaptic transmission of neuronal networks. In this research, a biologically inspired neuronal network model is constructed by connecting two Morris-Lecar neuron models. In this minimal network model, neuron-astrocyte interactions are considered in a functional-based procedure. Utilizing the developed model and according to the theoretical analysis carried out in the article, it is confirmed that, the astrocyte increases the threshold value of synchronization and provides appropriate feedback control in regulating the neural activities. Therefore, the healthy astrocyte has the potential to desynchronize the synchrony between two coupled neurons. Next, we investigate malfunction of the astrocyte in the regulatory feedback loop. Mathematically, we verify that pathologic astrocyte is no longer able to increase the synchronization threshold and therefore, it cannot compensate excessive increase in the excitation level. The main reason behind this is the fact that healthy astrocyte can optimally increase the input current of the individual neurons, while the so-called pathological astrocyte is unable to modify correctly the amount of this current. Consequently, disruptions of the signaling function of astrocyte initiate the hypersynchronous firing of neurons. In other words, reduction in neuron-astrocyte cross-talk will lead to synchronized firing of neurons. Therefore, our results propose that the astrocyte could have a key role in stabilizing neural activity.

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Section: Discussionmentioning

confidence: 99%

“…Recently, this model was modified in order to be applied to a spatially extended neuron-astrocyte network (Postnov et al 2009). A minimal model consisting of a pyramidal neuron, an interneuron, and an astrocyte was modeled and simulated by Garbo (2009). He investigated the effect of ATP and the interneuron in the overall neural activity.…”

Section: Introductionmentioning

confidence: 99%

On the role of astrocytes in synchronization of two coupled neurons: a mathematical perspective

2011

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“…It is worth mentioning that none of the aforementioned studies considered the relationship between Kir4.1 channel conductance and the occurrence of spontaneous epileptic seizures. Morphologically, previous studies of the extracellular K + local buffer mechanisms in astrocyte-neuron networks have shown that astrocytes have a 1:1 quantitative relationship with neurons; however, experimental data show that one cortical neuron is typically surrounded by multiple astrocytes [ 20 , 33 , 34 ]. In support of this, in 2009, Azevedo et al reported that the ratio of neurons to glia is approximately 1:4 in the human cerebrum [ 33 ].…”

Section: Introductionmentioning

confidence: 99%

Astrocytic Kir4.1 channels and gap junctions account for spontaneous epileptic seizure

Chen

et al. 2018

PLoS Comput Biol

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Experimental recordings in hippocampal slices indicate that astrocytic dysfunction may cause neuronal hyper-excitation or seizures. Considering that astrocytes play important roles in mediating local uptake and spatial buffering of K+ in the extracellular space of the cortical circuit, we constructed a novel model of an astrocyte-neuron network module consisting of a single compartment neuron and 4 surrounding connected astrocytes and including extracellular potassium dynamics. Next, we developed a new model function for the astrocyte gap junctions, connecting two astrocyte-neuron network modules. The function form and parameters of the gap junction were based on nonlinear regression fitting of a set of experimental data published in previous studies. Moreover, we have created numerical simulations using the above single astrocyte-neuron network module and the coupled astrocyte-neuron network modules. Our model validates previous experimental observations that both Kir4.1 channels and gap junctions play important roles in regulating the concentration of extracellular potassium. In addition, we also observe that changes in Kir4.1 channel conductance and gap junction strength induce spontaneous epileptic activity in the absence of external stimuli.

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“…Such astrocyte-dependent neuronal depolarization has been confirmed to occur in the hippocampus, thalamus and cortex [14,18,19]. It has also been reported that astrocytic calcium concentrations rise with various stimuli, such as electrical stimuli or shared agonists of glutamatergic and purinergic receptors, thus triggering depolarization of adjacent neurons [14,20,21].…”

Section: Introductionmentioning

confidence: 84%

Computational simulation: astrocyte-induced depolarization of neighboring neurons mediates synchronous UP states in a neural network

2015

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Although recent reports have suggested that synchronous neuronal UP states are mediated by astrocytic activity, the mechanism responsible for this remains unknown. Astrocytic glutamate release synchronously depolarizes adjacent neurons, while synaptic transmissions are blocked. The purpose of this study was to confirm that astrocytic depolarization, propagated through synaptic connections, can lead to synchronous neuronal UP states. We applied astrocytic currents to local neurons in a neural network consisting of model cortical neurons. Our results show that astrocytic depolarization may generate synchronous UP states for hundreds of milliseconds in neurons even if they do not directly receive glutamate release from the activated astrocyte.Keywords Astrocyte · Synchronous UP state · Slow inward current · Release of glutamic acid · Neural network model · Adaptive exponential integrate-and-fire model

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Dynamics of a minimal neural model consisting of an astrocyte, a neuron, and an interneuron

Cited by 25 publications

References 61 publications

On the role of astrocytes in synchronization of two coupled neurons: a mathematical perspective

On the role of astrocytes in synchronization of two coupled neurons: a mathematical perspective

Astrocytic Kir4.1 channels and gap junctions account for spontaneous epileptic seizure

Computational simulation: astrocyte-induced depolarization of neighboring neurons mediates synchronous UP states in a neural network

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