A Shmuel

Basabi Bhaumik

E Bartfeld

K Obermayer

M C Crair

M Sultan M Siddiqui

Mohit Kumar Garg

NV Swindale

P Kara

English

PubMed

Mohit Garg

Springer - Publisher Connector

Interrelation between binocular disparity and other feature maps of V1 using Kohonen’s SOFM algorithm

Bhaumik Basabi

Garg Mohit

Siddiqui M Sultan M

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BMC Neuroscience

POSTER PRESENTATION Open Access
Interrelation between binocular disparity and
other feature maps of V1 using Kohonen’s
SOFM algorithm
M Sultan M Siddiqui1*, Mohit Kumar Garg2, Basabi Bhaumik1
From Nineteenth Annual Computational Neuroscience Meeting: CNS*2010
San Antonio, TX, USA. 24-30 July 2010
Visual cortex possesses features such as binocular dis-
parity (DP), ocular dominance (OD), orientation prefer-
ence (OR), direction preference (DS), and spatial
frequency. Neurophysiological studies have explored the
existence of orthogonal relationship between local maps
of DP and OD at visual cortex sites having vertical/near
vertical OR [1]. No experimental studies relate DP map
with: (i) OD map at sites other than vertical/near verti-
cal OR, (ii) pinwheel singularities of OR map, and (iii)
DS map. We have studied relationship of DP with other
features maps such as OR, OD and DS, by jointly devel-
oping DP, OR, OD and DS feature maps using Koho-
nen’s self-organising feature map (SOFM) algorithm.
Existing models using Kohenen’s algorithm implements
feature maps of visual cortex as: (i) combined OR and
OD [2], and (ii) combined OR and DS [3]. No model
maps till date have attempted to model DP jointly with
OR, OD and DS feature maps of visual cortex.
We use VMratio to measure interaction between DP
and OD maps. VMratio is peak to baseline value of fitted
von Mises function to histogram distribution of gradient
direction differences between DP and OD maps.
VMratio>3 indicates high interaction and VM-ratio < 2
indicates no interaction [1]. The gradient direction differ-
ence at which von Mises function peaks, defines the
angle of crossing between DP and OD contours.
Indeed in our simulated maps, DP contour crosses OD
contour orthogonally having a range from 45° to 135° with
median near 90° (VMratio > 3), for vertical/near vertical
OR portions/sites. DP contour crosses OD contour having
a range from 0° to 45° with median near 22.5° (VMratio >
3), for horizontal/near horizontal OR portions/sites. DP
map shows no relationship with: (i) pinwheel singularities
of OR map (see Table 1) and (ii) DS map.
Conclusions
Our jointly modelled DP, OR, OD, and DS maps cap-
tures experimentally observed relationship among them
[1,4-6]. We believe that ours is the first model that
yields combined DP, OR, OD, and DS maps.
Author details
1Department of Electrical Engineering, Indian Institute of Technology Delhi,
New Delhi, India. 2ADE DRDO Bangalore, Karnataka, India.
* Correspondence: een068257@ee.iitd.ac.in
1Department of Electrical Engineering, Indian Institute of Technology Delhi,
New Delhi, India
Table 1 Statistics of DP vs Pinwheel singularities
Range of DP
Pinwheel No.(DP mean) 0° - 60° 60° - 120° 120° - 180° 180° - 240° 240° - 300° 300° - 360°
+ve Pinwheel No. (DP mean) 4
(34.7° )
12
(93.9° )
20
(144.7° )
18
(215.3° )
9
(260.7° )
4
(318.6° )
-ve Pinwheel No. (DP mean) 4
(34.3° )
14
(93.3° )
18
(153° )
16
(208.6° )
11
(275.3° )
4
(311° )
Siddiqui et al. BMC Neuroscience 2010, 11(Suppl 1):P81
http://www.biomedcentral.com/1471-2202/11/S1/P81
© 2010 Siddiqui et al; licensee BioMed Central Ltd.
Published: 20 July 2010
References
1. Kara P, Boyd JD: A micro-architecture for binocular disparity and ocular
dominance in visual cortex. Nature 2009, 458:627-632.
2. Obermayer K, Blasdel GG, Schulten K: Neural network model for the
formation and for the spatial structure of retinotopic maps, orientation
and ocular-dominance columns. Artif. neural nw. 1991, 505-511.
3. Swindale NV, Bauer H: Application of Kohonen’s self-organising feature
map algorithm to cortical maps of orientation and direction preference.
Proc. Royal Soc. London 1998, 827-838.
4. Bartfeld E, Grinvald A: Relationship between orientation-preference
pinwheels, cytochrome oxidase blobs, and ocular-dominance columns in
primate striate cortex. Proc. Natl. Acad. Sci 1992, 89:11905-11909.
5. Crair MC, Ruthazer ES, Stryker MP: Ocular dominance peaks at pinwheel
singularities of the orientation map in cat visual cortex. American
physiology society 1997, 3381-3385.
6. Shmuel A, Grinvald A: Functional organization for direction of motion
and its relationship to orientation maps in cat area 18. J. Neurosci 1996,
6945-6964.
doi:10.1186/1471-2202-11-S1-P81
Cite this article as: Siddiqui et al.: Interrelation between binocular
disparity and other feature maps of V1 using Kohonen’s
SOFM algorithm. BMC Neuroscience 2010 11(Suppl 1):P81.
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Siddiqui et al. BMC Neuroscience 2010, 11(Suppl 1):P81
http://www.biomedcentral.com/1471-2202/11/S1/P81
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Crossref

Application of Kohonen’s self-organising feature map algorithm to cortical maps of orientation and direction preference.

Grinvald A: Functional organization for direction of motion and its relationship to orientation maps in cat area 18.

Grinvald A: Relationship between orientation-preference pinwheels, cytochrome oxidase blobs, and ocular-dominance columns in primate striate cortex.

JD: A micro-architecture for binocular disparity and ocular dominance in visual cortex. Nature

MP: Ocular dominance peaks at pinwheel singularities of the orientation map in cat visual cortex. American physiology society

Neural network model for the formation and for the spatial structure of retinotopic maps, orientation and ocular-dominance columns. Artif. neural nw.

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Interrelation between binocular disparity and other feature maps of V1 using Kohonen’s SOFM algorithm

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