tag:blogger.com,1999:blog-7447544468792389936.post2359296873429212685..comments2024-02-26T21:18:23.165-08:00Comments on CHIMERAS: Learning neuroscience from a virusAnonymoushttp://www.blogger.com/profile/09922888671399516573noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-7447544468792389936.post-32560047356115979852011-10-11T06:22:56.633-07:002011-10-11T06:22:56.633-07:00Hi Steve, I didn't mention the theorem, just t...Hi Steve, I didn't mention the theorem, just the proof... I honestly forget the name of the theorem, it was a while ago (It must've been to prove the complete connectivity of a certain topological manifold made of algebraic cells), but I'll look it up. The class was "topological manifolds," and this professor of mine was a genius. Seriously, I'm not joking. He'd state the theorem clearly (and I haven't here, hence your confusion), but then the proofs would be hand-waved and touchy-feely. But you know what? I'd go home and re-work the proof in its rigorous details based on the few hints he'd given in class, and it'd work. And those are the proof I'd never forget. Basically, what he meant in the case of the cheese and the mouse, was to construct a function that would start from one edge, and then you'd find a path that would connect every cell in the manifold.<br /><br />Sorry, I know that doesn't help much unless I find the name of the theorem -- I'll look it up.<br /><br />If you're a neuroscientist, would you like to add anything on the paper I discussed in the post? I found the technique fascinating!Anonymoushttps://www.blogger.com/profile/09922888671399516573noreply@blogger.comtag:blogger.com,1999:blog-7447544468792389936.post-50700175704382371982011-10-11T04:33:26.821-07:002011-10-11T04:33:26.821-07:00Hi EEGiorgi - Whilst I am a Neuroscientist researc...Hi EEGiorgi - Whilst I am a Neuroscientist researcher who uses these viruses (and have actually found this paper quite useful!), I am found pondering more on the brief proof you offer from your mathematics undergraduate degree at the beginning of the post.<br /><br />Could you please clarify further this theorem you mentioned... "Suppose the topological manifold is a chunk of cheese. Put a mouse on one of the cells and wait until the mouse has eaten all of the cheese."?? <br /><br />The statement itself seems fairly self-explanatory.. Admittedly I dont have a degree in mathematics, but perhaps you can explain it a little further for me??<br /><br />Cheers,Stevehttps://www.blogger.com/profile/15558989227113913810noreply@blogger.comtag:blogger.com,1999:blog-7447544468792389936.post-65586059731579677702011-10-06T09:23:58.201-07:002011-10-06T09:23:58.201-07:00Thanks so much for the clarification!Thanks so much for the clarification!Anonymoushttps://www.blogger.com/profile/09922888671399516573noreply@blogger.comtag:blogger.com,1999:blog-7447544468792389936.post-38074602352532201072011-10-06T08:29:56.362-07:002011-10-06T08:29:56.362-07:00This technique is used to know where is the target...This technique is used to know where is the target og a group of neurons, or which group of neurons are the responsable of a target.Joseph Kovacshttps://www.blogger.com/profile/08691354105444202616noreply@blogger.com