  The Spatial Convolution Model (SCM) analyzes allostery based on the spatial
evolution of the docking protein elastic media, whereby convolution of the
media in response to wave propagation is solved as a function of Z fluctuations
and backbone vibration modes. We show that although the elastic media is a
complex three-dimensional structure allostery behaves as if it occurs along a
stretched oscillating string, where inhomogeneities along the string effect
local entropies responsible for ligand binding and transduction of allosteric
waves. To identify inhomogeneities along the string, we ignored local density
and tension changes during wave propagation and resolved helix wave and
physical properties by applying molecular string and beam bending theories.
Importantly, we show that allostery occurs at three major scales and that
propagation of standing waves create a rolling entropy which drives entropy
transfers between fields. Conversion of resonance energy to quantum harmonic
oscillators allowed us to consider effects of damping and interactions with the
surrounding media as well as to model effects of residue interaction strength
on entropy transfer.
