Any advanced math wizards out there?

Update #1: Some people asked why we are interested in this. It has applications to complexity science— basically you can look at a nervous system (or any complex biological system) as a high-dimensional non-linear dynamical system.  The dissertation is exploring the mathematical properties of such a dynamical system, so the methods in the thesis could potentially be turned into a better way to understand what the nervous system (or any biological system) is doing.

Update #2: We got a volunteer!!  Thanks to all who shared this around.  Stay tuned for an OpenWorm journal club on this subject soon!

Hi all,

  Does anybody out there understand the following advanced math ideas well and would be willing to explain them to the rest of us?
  • diffeomorphism
  • Riemannian manifold
  • tangent bundle
   Further, who here looks at this definition and it makes sense to them?
image
   If that’s you, we could really use you to get on a hangout and explain the following dissertation to the rest of us mere mortals.  If you or someone you know would be willing to do that, it would be AWESOME.  This kind of math (and this dissertation in particular)  is actually extremely relevant to what we are doing here but out of reach at the moment.
   Let us know via any of the regular channels.  Thanks!!

6openworm, math, advanced math, help,

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Connectomes Big and Small
Aug 11st 2014, 9:24 am
Guest blog: Lav R. Varshney I have been following the OpenWorm project with great interest over the last year and am really …

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Guest blog: Lav R. Varshney

I have been following the OpenWorm project with great interest over the last year and am really glad to be contributing to it through some blog posts on mathematical theories of neurobiology and related subjects.  As background, I am an assistant professor of electrical and computer engineering at the University of Illinois at Urbana-Champaign, where my research focuses on information in complex systems, whether neurobiological, sociotechnical, or nanoscale.  In the past, my colleagues and I had worked on completing and analyzing the hermaphrodite C. elegans connectome in a paper, whose data is now being used in OpenWorm.  This built on the pioneering work of John White, et al.

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