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Two-neuron networks

II. Leaky integrator pacemaker models

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Abstract

The behavior of two pacemaker neurons simulated by leaky integrators and connected reciprocally by synapses was studied. In every case the firing of both neurons phase-locks. The resulting limit cycle may or may not show simultaneous firing of both neurons. When both synapses are excitatory, phase-locking with simultaneous neuronal firing is always present. When one synapse is excitatory and the other inhibitory, phase-locking is also present always, while the neurons may or may not fire simultaneously. For a restricted set of parameters, bistability appears; the initial conditions determine whether or not the limit cycle presents simultaneous firing. When both synapses are inhibitory, the system phase-locks without simultaneous firing for almost every set of parameters.

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Authors and Affiliations

  1. Facultad de Ciencias; Departamento de Fisiología and Métodos Cuantitativos, Facultad de Medicina, Sección Biomatematica, Instituto de Biologia, Montevideo, Uruguay

    Leonel Gómez & Ruben Budelli

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  1. Leonel Gómez
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  2. Ruben Budelli
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Gómez, L., Budelli, R. Two-neuron networks. Biol. Cybern. 74, 131–137 (1996). https://doi.org/10.1007/BF00204201

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  • DOI: https://doi.org/10.1007/BF00204201

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