Internal noise induced pattern formation and spatial coherence resonance for calcium signals of diffusively coupled cells

2014 ◽  
Vol 393 ◽  
pp. 519-526 ◽  
Author(s):  
Maosheng Wang ◽  
Runzhi Sun ◽  
Wanxia Huang ◽  
Yubing Tu
Keyword(s):  
Pattern Formation ◽  
Spatial Coherence ◽  
Internal Noise ◽  
Coherence Resonance ◽  
Calcium Signals ◽  
Coupled Cells

scholarly journals Spatial coherence resonance in excitable biochemical media induced by internal noise

2007 ◽  
Vol 128 (2-3) ◽  
pp. 210-214 ◽  
Author(s):  
Marko Gosak ◽  
Marko Marhl ◽  
Matjaž Perc
Keyword(s):  
Spatial Coherence ◽  
Internal Noise ◽  
Coherence Resonance ◽  
Biochemical Media

NON-GAUSSIAN NOISE-INDUCED COHERENCE RESONANCE OF CALCIUM OSCILLATIONS IN BIDIRECTIONALLY COUPLED CELLS

2010 ◽  
Vol 20 (11) ◽  
pp. 3709-3715 ◽  
Author(s):  
YUBING GONG ◽  
XIU LIN ◽  
YINGHANG HAO ◽  
XIAOGUANG MA
Keyword(s):  
Gaussian Noise ◽  
Calcium Oscillations ◽  
Q Value ◽  
Coherence Resonance ◽  
Coupled Cells ◽  
Non Gaussian ◽  
Insight Into

We have studied the effect of a particular kind of non-Gaussian noise (NGN), mainly of its deviation q from Gaussian noise, on the intercellular calcium (Ca2+) oscillations in an array of bidirectionally coupled cells. It is found that as q is increased, the Ca2+ oscillation becomes the most regular at an intermediate optimal q value, representing the occurrence of coherence resonance (CR). This deviation-induced CR behavior shows that the intercellular Ca2+ oscillations of the coupled cells can be enhanced and even optimized by the appropriate NGN. This result provides a new insight into the constructive role of the NGN on the transmission of Ca2+ signaling in coupled cells.

A Model for Pattern Formation in Gap-Junction Coupled Cells

1997 ◽  
Vol 186 (1) ◽  
pp. 107-115 ◽  
Author(s):  
Christian Th. Klein ◽  
Bernd Mayer
Keyword(s):  
Pattern Formation ◽  
Gap Junction ◽  
Coupled Cells

scholarly journals Spatial coherence resonance near pattern-forming instabilities

2004 ◽  
Vol 65 (4) ◽  
pp. 452-458 ◽  
Author(s):  
O Carrillo ◽  
M. A Santos ◽  
J García-Ojalvo ◽  
J. M Sancho
Keyword(s):  
Spatial Coherence ◽  
Coherence Resonance ◽  
Pattern Forming

The Influence of Initial Values on Spatial Coherence Resonance in a Neuronal Network

2015 ◽  
Vol 25 (08) ◽  
pp. 1550104 ◽  
Author(s):  
Yuye Li ◽  
Huaguang Gu
Keyword(s):  
Membrane Potential ◽  
Residence Time ◽  
Resting State ◽  
Spatial Coherence ◽  
Low Noise ◽  
Stable Node ◽  
Stable Limit ◽  
Coherence Resonance ◽  
Initial Values ◽  
Unstable Focus

Noise-induced single spatial coherence resonance (CR) and multiple spatial CRs simulated in a network have been reported independently in previous studies. In this paper, the relationship between the single and multiple spatial CRs is established by adjusting the initial values of the network composed of Morris–Lecar (ML) model neurons. The ML model manifests a saddle-node bifurcation on an invariant cycle through which a resting state is changed to a stable limit cycle corresponding to period-1 firing. Under resting state, a stable node, a saddle, and an unstable focus coexist. The membrane potential of the unstable focus is much higher than that of the stable node. When the initial value is closer to the unstable focus, the residence time of membrane potential on a high level is longer; correspondingly, the spatial CRs appear more frequently with respect to noise intensity and the coherence degree becomes stronger. The single spatial CR is induced by noise with high intensity. Multiple spatial CRs are induced by noise with high, middle, and even low noise intensities, respectively. When the initial values are closer to an unstable focus, the residence time of membrane potentials on a higher level is longer, which is important to the generation of multiple CRs, and builds a relationship between single and multiple spatial CRs.

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