As a biology person with a pretty solid math and systems science background, mostly what I see are experimental models that seek to approximate the information networks present at all levels of biology; cell signaling and so on. I find it interesting that nobody seems to be trying to mimic signaling cascades, yet, but maybe they are and just haven't published yet.
As a neuroscientist I have to disagree with the perception that anyone is doing mathematical modeling of cognitive intelligence, yet; intelligence as an economist defines it, yes, but economists are worlds away from actual cognition. I suppose it all comes down to how we define intelligence; from a neuroscience perspective, it is typically defined as a combination of learning, memory, and cognition, rather than as simple logic pathways.