- Poster presentation
- Open Access
A reaction-diffusion model of cholinergic retinal waves and self-organized criticality
© Lansdell and Kutz; licensee BioMed Central Ltd. 2013
- Published: 8 July 2013
- Spontaneous Firing
- Mouse Retina
- Retinal Development
- Neural Field
- Wave Size
This is the first mathematical analysis of its type on retinal waves. However, a number of theoretical issues remain unresolved. The distribution of wave sizes has been reported to obey a power-law distribution, suggesting the developing retina may exist in a critical state . Are these findings compatible with our theoretical model? We present preliminary results suggesting that our model possesses a configuration in which wave sizes are distributed according to a power-law (Figure 1C). We adapt analyses typically used in neural field equations to understand the effects of stochasticity and heterogeneity on wave size statistics , and therefore provide theoretical arguments characterizing the potential for criticality in retinal development.
The authors would like to thank Kevin Ford for discussions and feedback on this work
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