The "reptilian" part of the so-called "triune brain" is located in the center of the brain, right by the brain stem, not in the back:
Attachment 92
I associate the "cry" (q'ra) and call (qol) aspect of Quph with the primal physicality of that letter - the "apelike" aspect of our fleshly existence. But this needs to be articulated better. It's not that clear to me right now.
As for the "running" aspect - that is from the root qal (swift, light of foot). I don't really know if that can be "explained" - it's just a fact of what I found in the Bible.
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