Phase locking and noise in the lighthouse model of a neural net with delay

Haken, Hermann
February 2000
AIP Conference Proceedings;2000, Vol. 502 Issue 1, p69
Academic Journal
This paper studies the features of a net of pulse-coupled model neurons, taking into account the dynamics of dendrites and axons. The axonal pulses are modeled by δ-functions. In the case of small damping of dendritic currents, the model can be treated exactly and explicitly. We exemplify our procedure by two neurons, but the approach can be extended to N neurons. We admit a general dependence of input and coupling strengths on the neuronal indices. In detail, the results are 1. exact solution of the phase-locked state 2. stability of phase-locked state with respect to perturbations, such as phase jumps and random fluctuations. The correlation functions of the phases are calculated 3. same for delayed interactions 4. phase shifts due to spontaneous opening of vesicles or due to failure of opening 5. effect of different sensory inputs on axonal pulse frequencies of coupled neurons © 2000 American Institute of Physics.


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