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this is my third time to post this question , so please answer it as soon as possible , i need codes and figures in
this is my third time to post this question , so please answer it as soon as possible , i need codes and figures in MATLAB please
Problem 1 ( 35 points +15 points extra credit) The spatial structure of a receptive field that utilizes lateral inhibition is well captured by a difference-ofGaussians model. In this model, the spatial properties of the receptive field are expressed as the difference between two Gaussian functions that represent the excitatory (E) and inhibitory (I) areas: Receptivefield=EI,whereE=e2E2s2andI=e2l2s2 A) (25 points +10 points extra credit) Use the model above to capture the response strength of the receptive field of a somatosensory skin receptor. Assume E=1cm and l=2cm. On the same graph, plot the receptive field when (a) there is only an excitatory region E and (b) there is a difference between the excitatory and inhibitory regions EI for the stimulus range s of 10cm. Note that for correct scaling in part (a), you should multiply (scale) E by 0.5. For part (b), scale E by 1.0 and I by 0.5. Think: Why would you need to scale them differently? What would happen if you scaled them by the same scalar? Create your Gaussian function and use it in your script. Use vectorization. Be sure to correctly label the axes and include a legend. For extra credit, build a 3D graph of the difference between the excitatory and inhibitory regions. Select an appropriate scale and grid for the graph. Print results and upload your code. B) ( 5 points +5 points extra credit) Assume that the afferent neuron will be activated if the response strength is above a threshold of 0.01. Based your plot in part A, estimate the size, i.e. width (in cm ) of the excitatory area that will result in neuronal activity with a) EI and b) without the inhibitory component (only E). If you use MATLAB to compute the exact numbers, you will get 5 extra credit points Step by Step Solution
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