Neural Synthesis of Firing Decisions in the Brain

Year 2012, Volume: 41 Issue: 2, 162 - 171, 20.11.2012

Thomas Saaty

Abstract

The brain generally miniaturizes its perceptions into what may be regarded as a model of what happens outside. We experience the world according to the capacity of our nervous system to register the stimuli we receive. In order to understand and control the environment there needs to be proportionality between the measurements represented in the miniaturized model that arises from the firings of our neurons, and the actual measurements in the real world. Thus our response to stimuli must satisfy the fundamental functional equation F(ax) = bF(x). In other words, our interpretation of a stimulus as registered by the firing of our neurons is proportional to what it would be if it were not filtered through the brain. This equation is the homogeneous part of the inhomogeneous equation F(ax) – bF(x) = G(x) with the forcing function G(x). What interests us here is the mode of operation of the (firing) system that needs to always satisfy the homogeneous part.

Keywords

Decision Making, Neural Firing and Synthesis, Fredholm’s Equation, Neural Representation