Before revision:  Multiple system flows and associated storages transmitted  from one compartment directly or indirectly to any other or along a given flow path are then analytically characterized, systematically classified, and mathematically formulated.
After revision:  The transient and the dynamic direct, indirect, acyclic, cycling, and transfer (diact) flows and associated storages transmitted from one compartment directly or indirectly to any other or along a given flow path are then analytically characterized, systematically classified, and mathematically formulated.