QED is usually taught using Fourier transforms on the probability amplitudes to make the math easier. Fourier space is wonderful since you view your function decomposed into wave frequencies, and differential operators become Fourier multipliers, making those gnarled equations easier to chew on. I would suggest taking this approach to examining your positron and electron activity, and particularly the relation to your leptin receptors since you wish to get ahold of the perturbations in the quantum vacuum in an accesible manner. Don't forget that photons make all of this happen as they are the particles of the exchange. For a jump start on general perturbation theory, start with Dirac's method of the variation of constants. For photons, see Einstein's work, of course.
It is also a good idea to think outside the CW medicine box and view this from the vantage of mathematical group theory. The multiplicative Abelian group of the unit circle in the complex plane, U(1), governs the symmetries of the gauge field. The Lagrangian is particularly a hairy beast, but perseverance will yield much information about leptin, cortisol, serum vitamin D levels, ghrelin, "safe" starches, why it's foolish to take up running, and many other mysteries.
Though it's too early to tell, some say Lisa Randall's Brane theory may be useful for your analysis since it uses more than 3 physical dimensions. It would be well worth your time to begin with the Randall-Sundrum model since hyper-dimensionality could yield results on the true nature of all particles and therefore give us an exciting new way to view the human body and its chemical reactions. If you're really paleo, you'll be able to think outside of the space-time continuum.
As a final note, I refer you to the cohomology of orbifolds. Cohomology and Frobenius manifolds could be yet another way to prove that your diet is the ultimate, especially if we view folding as a deformation of a manifold. From there, the rest of it will fall into place I believe. Here's a good place to start: http://www.math.univ-montp2.fr/~mann/articlefinal.pdf