Umezawa emphasizes that macroscopic and microscopic ordered states are both of quantum origin according to quantum field theory and points out the shortcomings of classical neuronal models in describing them. In 1981, theoretical exploration of the Ising model in Cayley tree topologies and large neural networks yielded an exact solution on closed trees with arbitrary branching ratios greater than two, exhibiting an unusual phase transition in local-apex and long-range site-site correlations. This finding directly raises the possibility of multiple cooperative modes being present in ordering states long-range within neural networks and their constituents, with Barth cooperative effects of the closed tree Ising model (structurally and connectivity dependent, with critical point a function of branching ratio and site-to-site energies of interaction) and Umezawa ordering of states (less structure dependent and with significantly greater degrees of freedom) independently or collectively guiding overall long-range macroscopic ordering often associated with higher cognitive functions in QBD.