The primary objective of the paper is to demonstrate how the phenomenal unity of consciousness, when interpreted as a result of integrative functions of the brain can be modeled in terms of algebraic properties of the quantum-mechanical formalism detached from its physical interpretation. The model proposed here is going one step beyond extracting the formal property of quantum coherence by making the transition from the lattice theoretic formalism to more suitable and slightly more general framework of closure spaces, but this generalization is independent from the basic idea of using quantum-mechanical formalism in the explanation of possibly non-quantum-mechanical processes in the brain.