Mathematical Integral in Neuroscience Paper

[madness]

Hi everyone,

I'm having trouble getting a mathematical result in the following paper:

http://link.springer.com/chapter/10.1007/978-3-540-88853-6_4#page-1

In particular, I can't figure out how they reach equation 7. They use equations (3) and (5), and I think they discard a lot of the terms in the integral based on the assumption that A decays exponentially or faster. I think they also use the symmetry of the integral to change the limits. Can anyone figure it out?

 

[DiracPool]

Well, madman, if you wanted to send me 30 clams (US), I may be able to look into that for you since I can only get the abstract without paying. I'd use my own money, but I'm saving the $30 to go see "Man of steel" this weekend after loading up for the fun with a few tacos Sorry.

 

[atyy]

Well, madman, if you wanted to send me 30 clams (US), I may be able to look into that for you since I can only get the abstract without paying. I'd use my own money, but I'm saving the $30 to go see "Man of steel" this weekend after loading up for the fun with a few tacos Sorry.

You'd earn $0.05! Or maybe not, final prices depend on local VAT ...

 

[alangerman]

The cited paper has been collected and published in a book "Dynamic Brain - from Neural Spikes to Behaviors: 12th International Summer School on Neural Networks, Erice, Italy, December 5-12, 2007, Revised". I found it on amazon.com. The key point is that amazon allows for searching inside the book. By searching on "Yoshioka" (one of the coauthors of the paper), I was able to find the paper and scroll to the relevant page. I was stimulated by the searching problem, not the neuroscience and I can't help with the derivation. But now atyy can both look at the paper for free and watch Superman. What a great start to the weekend!

 

[LudusRex]

As a fellow scientist, I can understand the frustration of trying to understand a mathematical result in a paper. In order to reach equation 7, it seems that the authors have made certain assumptions and simplifications based on the properties of the integral. It is important to carefully read and analyze the equations (3) and (5) to understand the logic behind their approach. Additionally, it might be helpful to reach out to the authors for clarification or seek assistance from a mathematician or statistician who may have more expertise in this area. It is also possible that the authors have made an error and it would be important to address this in order to accurately interpret the results of the paper. I hope this helps and best of luck with your research!