# A Spiking Neuron Model based on the Lambert W Function

### Yevgeniy Bodyanskiy, Artem Dolotov

#### Abstract

A model of spiking neuron based on the Lambert W function has been proposed. It is shown analytical dependence of spiking neuron firing time on input spikes can be obtained. Though such dependence is rather complex, it still allows of simplifying software implementation of spiking neural networks. It is demonstrated the proposed model software implementation operates faster than one of straightforward propagation of a spike through multiple synapse and soma of spiking neuron.

#### References

- Bodyanskiy, Ye., Dolotov, A., 2009. Analog-Digital SelfLearning Fuzzy Spiking Neural Network in Image Processing Problems. In Image Processing, INTECH. Vukovar.
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#### Paper Citation

#### in Harvard Style

Bodyanskiy Y. and Dolotov A. (2013). **A Spiking Neuron Model based on the Lambert W Function** . In *Proceedings of the 5th International Joint Conference on Computational Intelligence - Volume 1: NCTA, (IJCCI 2013)* ISBN 978-989-8565-77-8, pages 542-546. DOI: 10.5220/0004631605420546

#### in Bibtex Style

@conference{ncta13,

author={Yevgeniy Bodyanskiy and Artem Dolotov},

title={A Spiking Neuron Model based on the Lambert W Function},

booktitle={Proceedings of the 5th International Joint Conference on Computational Intelligence - Volume 1: NCTA, (IJCCI 2013)},

year={2013},

pages={542-546},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0004631605420546},

isbn={978-989-8565-77-8},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 5th International Joint Conference on Computational Intelligence - Volume 1: NCTA, (IJCCI 2013)

TI - A Spiking Neuron Model based on the Lambert W Function

SN - 978-989-8565-77-8

AU - Bodyanskiy Y.

AU - Dolotov A.

PY - 2013

SP - 542

EP - 546

DO - 10.5220/0004631605420546