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Stephen G. Odaibo
M.D., M.S.(Math), M.S.(Comp. Sci.)
Quantum Lucid Research Laboratories
Dubuque, Iowa, USA
Opening Keynote Address
Global Ophthalmologists Meeting, Osaka Japan
May 16th 2016
 I have no financial conflicts of interest to
disclose.
 Talk Outline
◦Background and Motivation
◦Objective
◦Method
◦Results
◦Conclusion
2/35
?
Background
Motivation
Objective
Method
Results
Conclusion
Acknowledgements
3/35
 We see with our brains
◦ Not with our eyes
 There is a neural code for vision
◦ Each neuron responds in a particular way to
features of a visual scene
Background
Motivation
Objective
Method
Results
Conclusion
Acknowledgements
4/35
 The neural codes are described by
mathematical functions (models)
 Our research focuses on motion-detecting
neurons
 Here, we present a better model of the
responses of motion-detecting neurons
Background
Motivation
Objective
Method
Results
Conclusion
Acknowledgements
5/35
gardenofeaden.blogspot.com
Background
Motivation
Objective
Method
Results
Conclusion
Acknowledgements
6/35
nationalgeographic.com
mangelsen.com
Background
Motivation
Objective
Method
Results
Conclusion
Acknowledgements
7/35
visionaware.com
news.com.au
timeanddate.com
Background
Motivation
Objective
Method
Results
Conclusion
Acknowledgements
8/35
Nature Reviews Neuroscience
Background
Motivation
Objective
Method
Results
Conclusion
Acknowledgements
9/35
users.rcn.com/jkimball.ma.ultranet/BiologyPages/V/VisualProcessing.html
Background
Motivation
Objective
Method
Results
Conclusion
Acknowledgements
10/35
Hubel and Wiesel, 1959
Background
Motivation
Objective
Method
Results
Conclusion
Acknowledgements
11/35
Time Space
Temporal Frequency Spatial Frequency
12/35 Background
Motivation
Objective
Method
Results
Conclusion
Acknowledgements
Lowpass filter Bandpass filter
13/35 Background
Motivation
Objective
Method
Results
Conclusion
Acknowledgements
Marceljia, S. Mathematical description of the responses of simple cortical cells, JOSA 70 (1980) 1297-1300
Gabor wavelet = (Gaussian function)*(Sine function)
Background
Motivation
Objective
Method
Results
Conclusion
Acknowledgements
14/35
Background
Motivation
Objective
Method
Results
Conclusion
Acknowledgements
15/35
Marceljia, S. Mathematical description of the responses of simple cortical cells, JOSA 70 (1980) 1297-1300
Gabor wavelet
Background
Motivation
Objective
Method
Results
Conclusion
Acknowledgements
16/35
 Neurons are connected together in chains
(network)
◦ Neuronal hierarchy
 Each neuron’s response is based on its input
neurons, and determines the response of its
output neuron
Background
Motivation
Objective
Method
Results
Conclusion
Acknowledgements
17/35
 Upstream neurons are more likely to be lowpass temporal
frequency filters and downstream neurons are more likely to
be bandpass temporal frequency filters
http://sites.psu.edu/lukelp137/2013/02/07/passion-post-5-jazz-and-the-saxophone
Lowpass filter Bandpass filter
http://www.tulane.edu/~bfleury/envirobio/Honors%20Web/StraccoViolins/Index.html
music123.com
Foster et al (1985); DeAngelis et al (1993b); Hawken et al (1996)
Background
Motivation
Objective
Method
Results
Conclusion
Acknowledgements
18/35
V1
MT
Background
Motivation
Objective
Method
Results
Conclusion
Acknowledgements
19/35
Histologically: Rockland (1995, 1998), Anderson et al (1998, 2002); Sincich & Horton (2003)
TFFG: Foster et al (1985); DeAngelis et al (1993b); Hawken et al (1996)
 To create a response model that faithfully
represents the TFFG emergent property along
the motion cortex neuron chain
MT
V1
Background
Motivation
Objective
Method
Results
Conclusion
Acknowledgements
20/35
Background
Motivation
Objective
Method
Results
Conclusion
Acknowledgements
21/35
 Sinc Wavelet=
◦ (Sinc function) x (Gaussian)
 Fourier transform of Sinc Wavelet=
◦ (Step function) x (Gaussian)
Background
Motivation
Objective
Method
Results
Conclusion
Acknowledgements
22/35
S.G. Odaibo, Society for Neurosci. Abstracts (2014)
Background
Motivation
Objective
Method
Results
Conclusion
Acknowledgements
23/35
Sinc wavelets with varying centers
S.G. Odaibo, Society for Neurosci. Abstracts (2014)
Background
Motivation
Objective
Method
Results
Conclusion
Acknowledgements
24/35
Sinc function = sin(x)/x
Background
Motivation
Objective
Method
Results
Conclusion
Acknowledgements
25/35
Background
Motivation
Objective
Method
Results
Conclusion
Acknowledgements
26/35
Construction of a perfect bandpass filter
S.G. Odaibo, Society for Neurosci. Abstracts (2014)
Background
Motivation
Objective
Method
Results
Conclusion
Acknowledgements
27/35
Temporal profile (right column) of Sinc wavelet
S.G. Odaibo, Society for Neurosci. Abstracts (2014)
Background
Motivation
Objective
Method
Results
Conclusion
Acknowledgements
28/35
Not all linear combinations yield bandpass filters
S.G. Odaibo, Society for Neurosci. Abstracts (2014)
Background
Motivation
Objective
Method
Results
Conclusion
Acknowledgements
29/35
Progressive complexity
S.G. Odaibo, Society for Neurosci. Abstracts (2014)
Background
Motivation
Objective
Method
Results
Conclusion
Acknowledgements
30/35
 Unlike other models, the sinc wavelet model
represents the temporal frequency character
along the V1 to MT neuron chain
 We conclude that the sinc wavelet is a better
model for describing the receptive fields of
neurons in the motion cortex
 The sinc wavelet model will provide insights
into how the brain represents visual
information
Background
Motivation
Objective
Method
Results
Conclusion
Acknowledgements
31/35
 Ari Rosenberg PhD (U-W Madison) and for helpful discussion
on receptive field databases.
 My wife, Lisa
 My Family
 God
Background
Motivation
Objective
Method
Results
Conclusion
Acknowledgements
32/35
Cracking the Neural Code for Vision
Cracking the Neural Code for Vision
Cracking the Neural Code for Vision

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Cracking the Neural Code for Vision