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2: Plot of a typical action potential. Neurons typically have an intracellular resting potential of around-65 to-70 mV. Depolarization, or an increase in this potential, occurs due to flow of charged ions into or out of the cell. If this depolarization crosses a threshold value, roughly-45mV, a positive feedback process is initiated resulting in the rapid increase (due to the influx of N a + across N a + voltage-gated channels) and then rapid decrease (due to the efflux of K + across K + voltage-gated channels) of the membrane potential by about 100 mV and lasting for 1-2 ms. Action potentials are actively propagated down the length of the axon to cause the release of neurotransmitters into the synaptic cleft, or a small region of space adjacent to another neuron's input processes, typically its dendrites. 

2: Plot of a typical action potential. Neurons typically have an intracellular resting potential of around-65 to-70 mV. Depolarization, or an increase in this potential, occurs due to flow of charged ions into or out of the cell. If this depolarization crosses a threshold value, roughly-45mV, a positive feedback process is initiated resulting in the rapid increase (due to the influx of N a + across N a + voltage-gated channels) and then rapid decrease (due to the efflux of K + across K + voltage-gated channels) of the membrane potential by about 100 mV and lasting for 1-2 ms. Action potentials are actively propagated down the length of the axon to cause the release of neurotransmitters into the synaptic cleft, or a small region of space adjacent to another neuron's input processes, typically its dendrites. 

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Within the brain, the interplay between connectivity patterns of neurons and their spatiotemporal dynamics is believed to be intricately linked to the bases of cognition, learning, and memory. In order to understand these processes, which are widely believed to be due to large-scale dynamical interactions, I investigate neuronal systems at the netw...

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