Supplementary Information: Stability of neuronal networks with homeostatic regulation
نویسندگان
چکیده
Here we 1) derive stability conditions for the network with a non-linear f/I curve, and 2) the tighter stability criterion which be obtained by considering only the slowest mode of the system. Qualitatively, for the 3-dimensional system a criterion exists based on the envelope of the non-linearity. For the full network, the criterion is based on the maximum slope of the non-linearity and this is leads to a less tight bound.
منابع مشابه
Stability of Neuronal Networks with Homeostatic Regulation
Neurons are equipped with homeostatic mechanisms that counteract long-term perturbations of their average activity and thereby keep neurons in a healthy and information-rich operating regime. While homeostasis is believed to be crucial for neural function, a systematic analysis of homeostatic control has largely been lacking. The analysis presented here analyses the necessary conditions for sta...
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Neurons are equipped with homeostatic mechanisms that counteract long-term perturbations of their average activity and thereby keep neurons in a healthy and information-rich operating regime. While homeostasis is believed to be crucial for neural function, a systematic analysis of homeostatic control has largely been lacking. The analysis presented here analyses the necessary conditions for sta...
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