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Part of the book series: Texts in Applied Mathematics ((TAM,volume 66))

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Abstract

Bursting is a very common behavior of neurons in the brain. A bursting neuron fires groups of action potentials in quick succession, separated by pauses which we will call the inter-burst intervals. Figure 19.1 shows an experimentally recorded voltage trace illustrating bursting. Figure 19.2 shows a simulation discussed in detail later in this chapter.

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Notes

  1. 1.

    A thermostat is a familiar example. Whether or not your heat is on depends not only on the current temperature in your room, but also on its history. The thermostat might turn the heat on when the temperature drops below 66oF, and turn it off when the temperature rises above 70oF. If it is currently 68oF, the heat may be on or off, depending on which part of the cycle the thermostat is in. Without the hysteresis effect, the heat would turn on and off very frequently.

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Börgers, C. (2017). Bursting. In: An Introduction to Modeling Neuronal Dynamics. Texts in Applied Mathematics, vol 66. Springer, Cham. https://doi.org/10.1007/978-3-319-51171-9_19

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