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Nonlinearity in simple and complex cells in early biological visual systems

Nonlinearity in simple and complex cells in early biological visual systems
Nonlinearity in simple and complex cells in early biological visual systems
The nonlinear model put forward in Mahmoodi (J Math Imaging Vis 54(2):138–161, 2016) for early visual systems is investigated in detail in this paper to explain some nonlinear behaviours of complex and some simple cells. Nonlinear cells are modelled as systems with linear–nonlinear structures where the linear sub-unit is constructed by the layers proposed in Mahmoodi (2016) and nonlinear sub-units are the results of an axon (modelled as a transmission line) carrying a series of spikes. In this paper, the nonlinear sub-systems of complex cells are investigated in more detail to show the mechanism by which nonlinear neurons work. Here the nonlinear systems modelling nonlinear sub-units of complex cells are represented by their first- and second-order responses. Our analytical as well as numerical results show good agreements with biological recordings reported in the literature.
179-188
Mahmoodi, Sasan
91ca8da4-95dc-4c1e-ac0e-f2c08d6ac7cf
Mahmoodi, Sasan
91ca8da4-95dc-4c1e-ac0e-f2c08d6ac7cf

Mahmoodi, Sasan (2017) Nonlinearity in simple and complex cells in early biological visual systems. Journal of Mathematical Imaging and Vision, 58 (2), 179-188. (doi:10.1007/s10851-016-0698-9).

Record type: Article

Abstract

The nonlinear model put forward in Mahmoodi (J Math Imaging Vis 54(2):138–161, 2016) for early visual systems is investigated in detail in this paper to explain some nonlinear behaviours of complex and some simple cells. Nonlinear cells are modelled as systems with linear–nonlinear structures where the linear sub-unit is constructed by the layers proposed in Mahmoodi (2016) and nonlinear sub-units are the results of an axon (modelled as a transmission line) carrying a series of spikes. In this paper, the nonlinear sub-systems of complex cells are investigated in more detail to show the mechanism by which nonlinear neurons work. Here the nonlinear systems modelling nonlinear sub-units of complex cells are represented by their first- and second-order responses. Our analytical as well as numerical results show good agreements with biological recordings reported in the literature.

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ComplexCells2 - Accepted Manuscript
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Accepted/In Press date: 8 December 2016
e-pub ahead of print date: 30 December 2016
Published date: June 2017
Organisations: Vision, Learning and Control

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Local EPrints ID: 404237
URI: http://eprints.soton.ac.uk/id/eprint/404237
PURE UUID: 279f8fff-392f-48db-9708-343fb1bce177

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Date deposited: 30 Dec 2016 08:47
Last modified: 07 Oct 2020 05:00

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Contributors

Author: Sasan Mahmoodi

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