The most complete mathematical model of consciousness is found in the theory Topological Geometrodynamics (TGD) of Finnish physicist Matti Pitkanen.
Two critical components of the TGD model are p-adic mathematics and reconfigured spacetime.
In Digital Mind Math — the TGD model for cognition and the mind — the real world is most effectively understood as embedded and embedding objects proceeding along a configuration space of all possible paths until reduction to a single path when observation or measurement triggers a quantum jump.
The organization of the embeddings is most naturally tracked not by real mathematics but by p-adic mathematics, the mathematics of enclosure.
P-adic mathematics is the natural mathematics of thinking, memory, imagination, and intention.
Our biological systems demonstrate both real and p-adic properties that permit mind-body integration.
You may read more about Digital Mind Math at http://www.amazon.com/gp/forum/cd/discussion.html/ref=ntt_mus_ep_cd_tft_tp?ie=UTF8&cdForum=Fx39QCUVOAFIVHP&cdThread=Tx13STXJTST1S99