Can anybody point me to the papers where scientists have actually "reverse engineered (...) regions of the brain" or present "highly detailed mathematical models of (...) neurons"?
As far as I know, research in those directions is nowhere near as sophisticated as Kurzweil tries to make us believe. The mathematical models for neurons I've seen may reproduce some firing statistics, but they are not at all suitable for actually modelling behavior of a system in response to a stimulus.