Difference between revisions of "Projects"
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== Question == | == Question == | ||
| − | What does the likelihood function look like for Hodgkin-Huxley (current based) models | + | What does the likelihood function look like for Hodgkin-Huxley (current based) models? Does it look like the LS-cost function or the UG-cost function? Few, if any, people, besides me, have looked at this, and I have done woefully few numerical experiments. I don't know the answer to this question and I don't think anyone else does either, but we are going to find out. |
| − | + | == How the Project will work == | |
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| + | You are going to program the computer to plot a likelihood function. This will be easy, because you are just going to download then edit one of three key files. Each key file correspond to a different model. | ||
* The Hodgkin-Huxley model | * The Hodgkin-Huxley model | ||
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The first model was written by me, the other two were written by students in this class as an extra (non-credit) project. | The first model was written by me, the other two were written by students in this class as an extra (non-credit) project. | ||
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| + | When you edit the key file, you will specify which two parameters to vary in the contour plot (the two axes), the values of the parameters to generate the data, and the erroneous assumptions about the parameters that don't vary. Then you are going to send the file you created to me. That is all you will be required to do. Over the summer I will use your file to generate the likelihood plot with my own computer (this may take a month for all 12 plots). When I am done I will post the key files and the plots on this website, and send out an email telling everyone in the class to take a look. With 12 experiments we should have a good answer to our problem! | ||
Revision as of 01:10, 23 April 2009
I promised at the beginning of class that you would do original research as part of a "project." I am going to deliver on that promise on the last day of class. But don't worry, your project will take between 5 and 15 minutes and then you can enjoy your summer. And grades for the class will be only based on homework: the last-day-of-class project will be a 10 point homework like the others.
Question
What does the likelihood function look like for Hodgkin-Huxley (current based) models? Does it look like the LS-cost function or the UG-cost function? Few, if any, people, besides me, have looked at this, and I have done woefully few numerical experiments. I don't know the answer to this question and I don't think anyone else does either, but we are going to find out.
How the Project will work
You are going to program the computer to plot a likelihood function. This will be easy, because you are just going to download then edit one of three key files. Each key file correspond to a different model.
- The Hodgkin-Huxley model
- A single compartment, many-current, model of the LP cell in the lobster stomatogastric ganglion.
- The two compartment Ghostburster model.
The first model was written by me, the other two were written by students in this class as an extra (non-credit) project.
When you edit the key file, you will specify which two parameters to vary in the contour plot (the two axes), the values of the parameters to generate the data, and the erroneous assumptions about the parameters that don't vary. Then you are going to send the file you created to me. That is all you will be required to do. Over the summer I will use your file to generate the likelihood plot with my own computer (this may take a month for all 12 plots). When I am done I will post the key files and the plots on this website, and send out an email telling everyone in the class to take a look. With 12 experiments we should have a good answer to our problem!
