Semester project
![](https://private-user-images.githubusercontent.com/95555641/396349984-8d0c3eee-66f6-4f9d-9d02-463a6fae656f.png?jwt=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.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.Uirp8fTAd6oZDzVnkqUnSpEBT43aqjhOyuaR-Kz7IUA)
![](https://private-user-images.githubusercontent.com/95555641/396509734-a28131c9-38be-403e-bb96-19e55f7f26d6.png?jwt=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJnaXRodWIuY29tIiwiYXVkIjoicmF3LmdpdGh1YnVzZXJjb250ZW50LmNvbSIsImtleSI6ImtleTUiLCJleHAiOjE3Mzg4MTg4NDMsIm5iZiI6MTczODgxODU0MywicGF0aCI6Ii85NTU1NTY0MS8zOTY1MDk3MzQtYTI4MTMxYzktMzhiZS00MDNlLWJiOTYtMTllNTVmN2YyNmQ2LnBuZz9YLUFtei1BbGdvcml0aG09QVdTNC1ITUFDLVNIQTI1NiZYLUFtei1DcmVkZW50aWFsPUFLSUFWQ09EWUxTQTUzUFFLNFpBJTJGMjAyNTAyMDYlMkZ1cy1lYXN0LTElMkZzMyUyRmF3czRfcmVxdWVzdCZYLUFtei1EYXRlPTIwMjUwMjA2VDA1MDkwM1omWC1BbXotRXhwaXJlcz0zMDAmWC1BbXotU2lnbmF0dXJlPTkzZWVkNTAxMDYyYjk0NDQ0ZGJjYzYwNzM2ZDUzNjI5MTJkZGJkYzUwNDhkMjQ0YTM5YWQxMGZiMDZmODk4ZmUmWC1BbXotU2lnbmVkSGVhZGVycz1ob3N0In0.k9vSx_PYmBKOQ7sZ7sqeUD4bv6qFlzTAiiPqASIME88)
![](https://private-user-images.githubusercontent.com/95555641/396361242-c686f217-f56e-412f-a843-ea1785c08f48.png?jwt=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.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.IOQ5XTbqYz0T82iMhb5SsJ8oOJc3TOnh_om5BdFDF4U)
Simulate depolarizing current pulses of various amplitudes by setting the voltage initial condition to a succession of values positive to the resting potential while starting w at the equilibrium point.
Action potentials are usually thought to have thresholds. Does the MLE with the given set of parameters have a threshold depolarization?
![](https://private-user-images.githubusercontent.com/95555641/396507461-630c52a0-6b0d-460e-ac1c-8c3781aa1d9f.png?jwt=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.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.QRkE6PK6GQZhTwh1x8avcld1RBZYugPDKgBrEbtoN44)
Plot of phase-plane trajectories for values of initial depolarization that do and do not produce action potentials.
![](https://private-user-images.githubusercontent.com/95555641/396507768-0c5865b2-95ea-472a-88e3-6e3117b9b0e3.png?jwt=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.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.-vypyOKgseft5i65uyyQ4pkR9stPKZHX8jF-YUN7PnE)
- Set the initial conditions to the equilibrium point used above, appropriate for Iext=0;
- Set the initial conditions to the equilibrium point when Iext=86 μA/cm2;
- Set the initial conditions off the equilibrium point for Iext=86 μA/cm2, say at (-27.9, 0.17).
![](https://private-user-images.githubusercontent.com/95555641/396544357-1dff8290-424a-4b9f-8583-01b03332b554.png?jwt=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.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.k5i7OwhuIRpSmSXd9XZVwaahqZeg9nillNxgX-zFhV8)