Literature DB >> 11735975

Bursting as an emergent phenomenon in coupled chaotic maps.

G de Vries1.   

Abstract

A two-dimensional map exhibiting chaotic bursting behavior similar to the bursting electrical activity observed in biological neurons and endocrine cells is examined. Model parameters are changed so that the bursting behavior is destroyed. We show that bursting can be recovered in a population of such nonbursting cells when they are coupled via the mean field. The phenomenon is explained with a geometric bifurcation analysis. The analysis reveals that emergent bursting in the network is due to coupling alone and is very robust to changes in the coupling strength, and that heterogeneity in the model parameters does not play a role.

Mesh:

Year:  2001        PMID: 11735975     DOI: 10.1103/PhysRevE.64.051914

Source DB:  PubMed          Journal:  Phys Rev E Stat Nonlin Soft Matter Phys        ISSN: 1539-3755


  3 in total

1.  A mathematical model of β-cells in an islet of Langerhans sensing a glucose gradient.

Authors:  Michael Meyer-Hermann; Richard K P Benninger
Journal:  HFSP J       Date:  2010-04-08

2.  How noise and coupling induce bursting action potentials in pancreatic {beta}-cells.

Authors:  Junghyo Jo; Hyuk Kang; Moo Young Choi; Duk-Su Koh
Journal:  Biophys J       Date:  2005-07-01       Impact factor: 4.033

3.  A mechanism for elliptic-like bursting and synchronization of bursts in a map-based neuron network.

Authors:  Hongjun Cao; Miguel A F Sanjuán
Journal:  Cogn Process       Date:  2008-07-31
  3 in total

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