Quantum entangled connectivity and functional connectivity of human brain

Quantum process may conduce to brain function. Particularly, it was proposed that the Posner molecules, Ca9(PO4)6, can serve as neural qubits, which can maintain quantum entanglement between phosphorus nuclei for quite a long time. We study the process from entangled Posner molecules to the synchronized activities of brain. A diffusion model of Posner molecules with appropriate boundary conditions and the mean first arriving time of Posner molecules from one area of brain to another are obtained. We establish linkages between the quantum entangled connectivity of brain and the remaining time of entangled Posner molecules before decoherence. Based on these results, we find direct correlations between entangled Posner molecules and the functional connectivity of human brain. Furthermore, we discover that the quantum entangled connectivity depends on age.