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Impacts of clustering on noise-induced spiking regularity in the excitatory neuronal networks of subnetworks.

Li H, Sun X, Xiao J - Front Comput Neurosci (2015)

Bottom Line: With the obtained simulation results, we find that spiking regularity of the neuronal networks has little variations with changing of R and S when M is fixed.However, cluster number M could reduce the spiking regularity to low level when the uniform neuronal network's spiking regularity is at high level.Combined the obtained results, we can see that clustering factors have little influences on the spiking regularity when the entire energy is fixed, which could be controlled by the averaged coupling strength and the averaged connection probability.

View Article: PubMed Central - PubMed

Affiliation: School of Science, Beijing University of Posts and Telecommunications Beijing, China.

ABSTRACT
In this paper, we investigate how clustering factors influent spiking regularity of the neuronal network of subnetworks. In order to do so, we fix the averaged coupling probability and the averaged coupling strength, and take the cluster number M, the ratio of intra-connection probability and inter-connection probability R, the ratio of intra-coupling strength and inter-coupling strength S as controlled parameters. With the obtained simulation results, we find that spiking regularity of the neuronal networks has little variations with changing of R and S when M is fixed. However, cluster number M could reduce the spiking regularity to low level when the uniform neuronal network's spiking regularity is at high level. Combined the obtained results, we can see that clustering factors have little influences on the spiking regularity when the entire energy is fixed, which could be controlled by the averaged coupling strength and the averaged connection probability.

No MeSH data available.


Spatiotemporal patterns of the uniform neuronal networks for different coupling strengthg. (A)g = 0.004; (B)g = 0.01; (C)g = 0.025. Here D = 0.015.
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Figure 3: Spatiotemporal patterns of the uniform neuronal networks for different coupling strengthg. (A)g = 0.004; (B)g = 0.01; (C)g = 0.025. Here D = 0.015.

Mentions: Figure 3 shows three typical spatiotemporal patterns observed in the neuronal network for different values of the coupling strength g, here D = 0.015. Obviously, the coupling strength can give great influences on firing behaviors of neuronal networks. When the coupling strength g is small, the spatiotemporal firing patterns are turbulent (or disordered), as illustrated in Figure 3A. This is because neurons generate firings almost by their own way when the coupling strengths between them are weak. However, when the coupling strength g = 0.01, as shown in Figure 3B, neurons generate spikes synchronously and the interspike intervals are nearly equivalent. If we further increase coupling strength g (for example g = 0.025), neurons inside the neuronal network still keep synchronous, but the interspike intervals become irregular, which leads spiking regularity being lower, as exhibited in Figure 3C.


Impacts of clustering on noise-induced spiking regularity in the excitatory neuronal networks of subnetworks.

Li H, Sun X, Xiao J - Front Comput Neurosci (2015)

Spatiotemporal patterns of the uniform neuronal networks for different coupling strengthg. (A)g = 0.004; (B)g = 0.01; (C)g = 0.025. Here D = 0.015.
© Copyright Policy
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4493390&req=5

Figure 3: Spatiotemporal patterns of the uniform neuronal networks for different coupling strengthg. (A)g = 0.004; (B)g = 0.01; (C)g = 0.025. Here D = 0.015.
Mentions: Figure 3 shows three typical spatiotemporal patterns observed in the neuronal network for different values of the coupling strength g, here D = 0.015. Obviously, the coupling strength can give great influences on firing behaviors of neuronal networks. When the coupling strength g is small, the spatiotemporal firing patterns are turbulent (or disordered), as illustrated in Figure 3A. This is because neurons generate firings almost by their own way when the coupling strengths between them are weak. However, when the coupling strength g = 0.01, as shown in Figure 3B, neurons generate spikes synchronously and the interspike intervals are nearly equivalent. If we further increase coupling strength g (for example g = 0.025), neurons inside the neuronal network still keep synchronous, but the interspike intervals become irregular, which leads spiking regularity being lower, as exhibited in Figure 3C.

Bottom Line: With the obtained simulation results, we find that spiking regularity of the neuronal networks has little variations with changing of R and S when M is fixed.However, cluster number M could reduce the spiking regularity to low level when the uniform neuronal network's spiking regularity is at high level.Combined the obtained results, we can see that clustering factors have little influences on the spiking regularity when the entire energy is fixed, which could be controlled by the averaged coupling strength and the averaged connection probability.

View Article: PubMed Central - PubMed

Affiliation: School of Science, Beijing University of Posts and Telecommunications Beijing, China.

ABSTRACT
In this paper, we investigate how clustering factors influent spiking regularity of the neuronal network of subnetworks. In order to do so, we fix the averaged coupling probability and the averaged coupling strength, and take the cluster number M, the ratio of intra-connection probability and inter-connection probability R, the ratio of intra-coupling strength and inter-coupling strength S as controlled parameters. With the obtained simulation results, we find that spiking regularity of the neuronal networks has little variations with changing of R and S when M is fixed. However, cluster number M could reduce the spiking regularity to low level when the uniform neuronal network's spiking regularity is at high level. Combined the obtained results, we can see that clustering factors have little influences on the spiking regularity when the entire energy is fixed, which could be controlled by the averaged coupling strength and the averaged connection probability.

No MeSH data available.