- Poster Presentation
- Open Access
Mutually pulse-coupled neurons that do not synchronize in isolation can synchronize via reciprocal coupling with another neural population
BMC Neuroscience volume 11, Article number: P15 (2010)
Phase locking between similar or dissimilar clusters (synchronized groups) of neurons may be widespread in the nervous system [1–3]. We examine two reciprocally coupled clusters of pulse-coupled oscillatory neurons. Neurons within each cluster are presumed to be identical and identically coupled but not necessarily identical to neurons in the other cluster. We construct a discrete map using Phase Response Curves (PRCs) for a firing pattern in which the neurons within each cluster are synchronized but the two clusters fire out of phase with respect to each other. We extend this map to include a perturbation of a single neuron within one cluster and linearize about the fixed point of the original map. We derive expressions that give stability of the phase-locked cluster solution using only the slopes of the PRC at the locking points. We give an example of a cluster of inhibitory Type II excitable neurons that cannot synchronize in isolation because the absolute value of the eigenvalue that determines synchrony in the isolated cluster is greater than one. The reciprocal coupling with another cluster scales this eigenvalue such that it becomes less than one, guaranteeing stability (Figure 1). These results suggest a mechanism by which local synchronization can be induced through reciprocal coupling between brain regions via the feedback loop.
Achuthan S, Canavier CC: Phase-locking curves determine synchronization, phase locking and clustering in networks of neural oscillators. J.Neurosci. 2009, 29 (16): 5218-5233. 10.1523/JNEUROSCI.0426-09.2009.
Marder E, Calabrese R: Principles of rhythmic motor pattern generation. Physiol. Rev. 1996, 76: 687-717.
Pervouchine DD, Netoff TI, Rotstein HG, White JA, Cunningham MO, Whittington WA, Kopell NJ: Low-dimensional maps encoding dynamics in entorhinal cortex and hippocampus. Neural Comput. 2006, 18: 2617-2650. 10.1162/neco.2006.18.11.2617.
About this article
Cite this article
Chandrasekaran, L., Achuthan, S. & Canavier, C.C. Mutually pulse-coupled neurons that do not synchronize in isolation can synchronize via reciprocal coupling with another neural population. BMC Neurosci 11 (Suppl 1), P15 (2010). https://doi.org/10.1186/1471-2202-11-S1-P15
- Brain Region
- Response Curve
- Feedback Loop
- Phase Response
- Single Neuron