Roman - Revision history

imported>Student2017: /* Results */

2017-12-15T20:30:18Z

Results

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	[[File:PPR_weighted_sum.png\|right\|300px\|The Wikipede edits ''[[Myriapoda]]''.]]		[[File:PPR_weighted_sum.png\|right\|300px\|The Wikipede edits ''[[Myriapoda]]''.]]

	Next, we tried finding a weighted sum of L, M, and S cones that could explain a linear relation between cone absorptions and PPR percentages. The goal was then to find a vector <math>x\in \mathbf{R^{(4x1)}}</math> that would minimize the squared error between <math>\hat{y}_{ppr} = Ax</math> and <math> y_{ppr}</math>, where <math>A \in \mathbf{R}^{(6,4)}</math> is a matrix whose columns are a vector of ones (to obtain a global bias term that explains the linear relationship), the absorptions for L, M, ~~and~~ S cones~~, and~~ <math> y_{ppr}</math> is a vector containing the true PPR percents known from empirical data [5]. After running the linear regression, the ~~normalized~~ vector <math>x</math> we found was:		Next, we tried finding a weighted sum of L, M, and S cones that could explain a linear relation between cone absorptions and PPR percentages. The goal was then to find a vector <math>x\in \mathbf{R^{(4x1)}}</math> that would minimize the squared error between <math>\hat{y}_{ppr} = Ax</math> and <math> y_{ppr}</math>, where <math>A \in \mathbf{R}^{(6,4)}</math> is a matrix whose columns are: (1) a vector of ones (to obtain a global bias term that explains the linear relationship), (2) the absorptions for L-cones, (3) the absorptions for M-cones, (4) the absorptions for S-cones. <math> y_{ppr}</math> is a vector containing the true PPR percents known from empirical data [5]. After running the linear regression, the vector <math>x</math> we found was:

	<math>\begin{pmatrix} 585e^{-3} \\ 0.0786e^{-3} \\ -0.0973e^{-3} \\ 0.0743e^{-3} \end{pmatrix}</math>		<math>\begin{pmatrix} 585e^{-3} \\ 0.0786e^{-3} \\ -0.0973e^{-3} \\ 0.0743e^{-3} \end{pmatrix}</math>

imported>Student2017: /* Results */

2017-12-15T20:28:22Z

Results

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	'''L-cones absorb more photons in red light compared to M-cones and S-cones'''		'''L-cones absorb more photons in red light compared to M-cones and S-cones'''

	When assessing how different cone types absorbed light colors, we found that red light was absorbed the most by L cones. The figure bellow shows how other light colors (black ~~line~~ corresponds to white light) were absorbed by L, M, and S cones. Note that L-cones also absorbed orange, yellow, green and white colors more than M-cones and S-cones.		When assessing how different cone types absorbed light colors, we found that red light was absorbed the most by L cones. The figure bellow shows how other light colors (black bars corresponds to white light) were absorbed by L, M, and S cones. Note that L-cones also absorbed orange, yellow, green and white colors more than M-cones and S-cones.

	[[File:LMS_Cone_absroption.png\|800px\|The Wikipede edits ''[[Myriapoda]]''.]]		[[File:LMS_Cone_absroption.png\|800px\|The Wikipede edits ''[[Myriapoda]]''.]]

imported>Student2017: /* Research Goals */

2017-12-15T20:23:33Z

Research Goals

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	== Research Goals ==		== Research Goals ==
	While researchers have identified the stimuli and brain responses associated with epilepsy, elucidating the mechanisms that transform epileptic stimuli into epileptic cortical responses is a challenging task. Studying how the human eye processes stimuli and transforms them into electrical signals is critical to gain a better understanding of photosensitive epilepsy. However, this is difficult without using invasive methods. ~~Recent~~ tools designed to carry out computer simulations of the human eye may help.		While researchers have identified the stimuli and brain responses associated with epilepsy, elucidating the mechanisms that transform epileptic stimuli into epileptic cortical responses is a challenging task. Studying how the human eye processes stimuli and transforms them into electrical signals is critical to gain a better understanding of photosensitive epilepsy. However, this is difficult without using invasive methods. Nonetheless, recent tools designed to carry out computer simulations of the human eye may help.

	'''Questions'''		'''Questions'''

imported>Student2017: /* Research Goals */

2017-12-15T20:20:36Z

Research Goals

← Older revision		Revision as of 20:20, 15 December 2017
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	== Research Goals ==		== Research Goals ==
	While researchers have identified the stimuli and brain responses associated with epilepsy, elucidating the mechanisms that transform epileptic stimuli into epileptic cortical responses is a challenging task. Studying how the human eye processes stimuli and transforms them into electrical signals is difficult without using invasive methods. ~~However, recent~~ tools ~~are~~ designed to carry out computer simulations of the human eye.		While researchers have identified the stimuli and brain responses associated with epilepsy, elucidating the mechanisms that transform epileptic stimuli into epileptic cortical responses is a challenging task. Studying how the human eye processes stimuli and transforms them into electrical signals is critical to gain a better understanding of photosensitive epilepsy. However, this is difficult without using invasive methods. Recent tools designed to carry out computer simulations of the human eye may help.

	'''Questions'''		'''Questions'''

imported>Student2017: /* Background */

2017-12-15T20:18:46Z

Background

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	'''Epidemiology'''		'''Epidemiology'''

	While only 4% of adults affected by epilepsy suffer seizures triggered by visual stimuli, photosensitive epilepsy affects 10% of children who have been diagnosed with epilepsy [2]. Not all visual stimuli are equally linked to photosensitive epilepsy. ~~Rapid~~ red lights ~~flashing~~ are more likely to trigger photosensitive epileptic seizures, perhaps due to how they stimulate ~~red~~ cones [3]. Additionally, multicolor modulations are also highly epileptic, specially red and blue modulations at 15 hz [2].		While only 4% of adults affected by epilepsy suffer seizures triggered by visual stimuli, photosensitive epilepsy affects 10% of children who have been diagnosed with epilepsy [2]. Not all visual stimuli are equally linked to photosensitive epilepsy. Rapidly flashing red lights are more likely to trigger photosensitive epileptic seizures, perhaps due to how they stimulate long cones [3]. Additionally, multicolor modulations are also highly epileptic, specially red and blue modulations at 15 hz [2].

	'''Electrophysiology'''		'''Electrophysiology'''

imported>Student2017: /* Appendix */

2017-12-15T07:03:57Z

Appendix

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	[https://docs.google.com/presentation/d/14oQZLIptuTTqBqslfUaJj_xuGhrAtNhYPHK1gOYAtbs/edit?usp=sharing Presentation Slides]		[https://docs.google.com/presentation/d/14oQZLIptuTTqBqslfUaJj_xuGhrAtNhYPHK1gOYAtbs/edit?usp=sharing Presentation Slides]

	The code can be found in [http://scarlet.stanford.edu/teach/index.php/RomanCode here] and the relevant ~~files~~ to run ~~with~~ the code can be downloaded from [[File:RomanPsych221data.zip]]		The matlab code to run the simulations and generate the figures can be found [http://scarlet.stanford.edu/teach/index.php/RomanCode here], and the relevant data needed to run the code can be downloaded from [[File:RomanPsych221data.zip]]

	== Acknowledgements ==		== Acknowledgements ==

imported>Student2017: /* Appendix */

2017-12-15T07:03:00Z

Appendix

← Older revision		Revision as of 07:03, 15 December 2017
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	[https://docs.google.com/presentation/d/14oQZLIptuTTqBqslfUaJj_xuGhrAtNhYPHK1gOYAtbs/edit?usp=sharing Presentation Slides]		[https://docs.google.com/presentation/d/14oQZLIptuTTqBqslfUaJj_xuGhrAtNhYPHK1gOYAtbs/edit?usp=sharing Presentation Slides]

	The code can be found in [http://scarlet.stanford.edu/teach/index.php/RomanCode here] and the relevant files to run with the code can be downloaded from [File:RomanPsych221data.zip]		The code can be found in [http://scarlet.stanford.edu/teach/index.php/RomanCode here] and the relevant files to run with the code can be downloaded from [[File:RomanPsych221data.zip]]

	== Acknowledgements ==		== Acknowledgements ==

imported>Student2017: /* Appendix */

2017-12-15T07:02:50Z

Appendix

← Older revision		Revision as of 07:02, 15 December 2017
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	[https://docs.google.com/presentation/d/14oQZLIptuTTqBqslfUaJj_xuGhrAtNhYPHK1gOYAtbs/edit?usp=sharing Presentation Slides]		[https://docs.google.com/presentation/d/14oQZLIptuTTqBqslfUaJj_xuGhrAtNhYPHK1gOYAtbs/edit?usp=sharing Presentation Slides]

	The code can be found in [http://scarlet.stanford.edu/teach/index.php/RomanCode here] and the relevant files to run with the code can be downloaded from [[File:RomanPsych221data.zip~~\|here]~~]		The code can be found in [http://scarlet.stanford.edu/teach/index.php/RomanCode here] and the relevant files to run with the code can be downloaded from [File:RomanPsych221data.zip]

	== Acknowledgements ==		== Acknowledgements ==

imported>Student2017: /* Appendix */

2017-12-15T07:02:31Z

Appendix

← Older revision		Revision as of 07:02, 15 December 2017
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	[https://docs.google.com/presentation/d/14oQZLIptuTTqBqslfUaJj_xuGhrAtNhYPHK1gOYAtbs/edit?usp=sharing Presentation Slides]		[https://docs.google.com/presentation/d/14oQZLIptuTTqBqslfUaJj_xuGhrAtNhYPHK1gOYAtbs/edit?usp=sharing Presentation Slides]

	The code can be found in [http://scarlet.stanford.edu/teach/index.php/RomanCode here] and the relevant files to run with the code can be downloaded from [[File:RomanPsych221data.zip here]]		The code can be found in [http://scarlet.stanford.edu/teach/index.php/RomanCode here] and the relevant files to run with the code can be downloaded from [[File:RomanPsych221data.zip\|here]]

	== Acknowledgements ==		== Acknowledgements ==

imported>Student2017: /* Appendix */

2017-12-15T07:02:13Z

Appendix

← Older revision		Revision as of 07:02, 15 December 2017
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	[https://docs.google.com/presentation/d/14oQZLIptuTTqBqslfUaJj_xuGhrAtNhYPHK1gOYAtbs/edit?usp=sharing Presentation Slides]		[https://docs.google.com/presentation/d/14oQZLIptuTTqBqslfUaJj_xuGhrAtNhYPHK1gOYAtbs/edit?usp=sharing Presentation Slides]

	The code can be found in [http://scarlet.stanford.edu/teach/index.php/RomanCode here] and the relevant files to run with the code can be downloaded from [File:RomanPsych221data.zip here]		The code can be found in [http://scarlet.stanford.edu/teach/index.php/RomanCode here] and the relevant files to run with the code can be downloaded from [[File:RomanPsych221data.zip here]]

	== Acknowledgements ==		== Acknowledgements ==