Journal
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Volume 368, Issue 1933, Pages 5619-5632Publisher
ROYAL SOC
DOI: 10.1098/rsta.2010.0264
Keywords
diversity; excitability; neurons; synchronization
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Funding
- National Science Foundation [DMR-0702890]
- G. Harold and Leila Y. Mathers Foundation
- European Commission [043309]
- EU [LSHB-CT-2004-005137]
- MEC (Spain)
- Feder [FIS2007-60327]
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We study the effect that the heterogeneity present among the elements of an ensemble of coupled excitable neurons has on the collective response of the system to an external signal. We consider two different interaction scenarios, one in which the neurons are diffusively coupled and another in which the neurons interact via pulse-like signals. We find that the type of interaction between the neurons has a crucial role in determining the response of the system to the external modulation. We develop a mean-field theory based on an order parameter expansion that quantitatively reproduces the numerical results in the case of diffusive coupling.
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