# Nonlinear Model for Complex Neurons in Biological Visual Visions

### Sasan Mahmoodi, Nasim Saba

#### Abstract

Complex cells in biological visual vision are well known to be nonlinear. In this paper, it is demonstrated that these nonlinear complex cells can be modelled under some certain conditions by a biologically inspired model which is nonlinear in nature. Our model consists of cascaded neural layers accounting for anatomical evidence in biological early visual visions. In the model proposed in this paper, the axons associated with the complex cells are considered to operate nonlinearly. We also consider the second order interaction receptive maps as directional derivatives of the complex cell's kernel along the direction of orientation tuning. Our numerical results are similar to the biologically recorded data reported in the literature.

#### References

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#### Paper Citation

#### in Harvard Style

Mahmoodi S. and Saba N. (2016). **Nonlinear Model for Complex Neurons in Biological Visual Visions** . In *Proceedings of the 9th International Joint Conference on Biomedical Engineering Systems and Technologies - Volume 4: BIOSIGNALS, (BIOSTEC 2016)* ISBN 978-989-758-170-0, pages 162-167. DOI: 10.5220/0005692601620167

#### in Bibtex Style

@conference{biosignals16,

author={Sasan Mahmoodi and Nasim Saba},

title={Nonlinear Model for Complex Neurons in Biological Visual Visions},

booktitle={Proceedings of the 9th International Joint Conference on Biomedical Engineering Systems and Technologies - Volume 4: BIOSIGNALS, (BIOSTEC 2016)},

year={2016},

pages={162-167},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0005692601620167},

isbn={978-989-758-170-0},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 9th International Joint Conference on Biomedical Engineering Systems and Technologies - Volume 4: BIOSIGNALS, (BIOSTEC 2016)

TI - Nonlinear Model for Complex Neurons in Biological Visual Visions

SN - 978-989-758-170-0

AU - Mahmoodi S.

AU - Saba N.

PY - 2016

SP - 162

EP - 167

DO - 10.5220/0005692601620167