Abstract
A model of bursting activity in the RPal neuron of the snailHelix pomatia has been developed. In this model, calcium conductances do not play a key role in generation of slow oscillations of membrane potential (MP). The possibility of simulating the maintenance of bursting in the presence of cadmium ions is shown. Inclusion in the model of the calcium-inactivated calcium conductance makes it possible to reproduce both adaptation of the neuron to constant polarizing current, which modifies bursting, and the development of slow inward current when MP is clamped at different phases at the slow wave. In our simulations, the characteristic properties of bursts (such as an increase in the frequency of action potentials and a decrease in spike undershoot at the beginning of a burst) are due to the cumulative inactivation of potassium current. The advantages of the presented mathematical model of bursting compared with other models are discussed.
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