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