Abstract
In recent years self organized critical neuronal models have provided
insights regarding the origin of the experimentally observed avalanching
behavior of neuronal systems. It has been shown that dynamical synapses,
as a form of short-term plasticity, can cause critical neuronal
dynamics. Whereas long-term plasticity, such as Hebbian or activity
dependent plasticity, have a crucial role in shaping the network
structure and endowing neural systems with learning abilities. In this
work we provide a model which combines both plasticity mechanisms,
acting on two different time scales. The measured avalanche statistics
are compatible with experimental results for both the avalanche size and
duration distribution with biologically observed percentages of
inhibitory neurons. The time series of neuronal activity exhibits
temporal bursts leading to 1/f decay in the power spectrum. The presence
of long-term plasticity gives the system the ability to learn binary
rules such as XOR, providing the foundation of future research on more
complicated tasks such as pattern recognition.
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