A Mathematical Treatise on Polychronous Wavefront Computation and its Application into Modeling Neurosensory Systems

Polychronous Wavefront Computation is the name given to a recently proposed geometric approach on how the brain can be modeled to perform computations. It departs from the conventional use of artificial neural networks involving synapses for systems modeling. This paper, written as a mathematical sequel to the original work on the subject, builds two closely related Neurocomputational Models that together furnishes a plausible mechanism grounded in geometry, for sensory representation of motion, shape and time in the brain.