Plasmodesmata permeability and frequency can fluctuate. When dilated, they allow symplast transport of proteins, RNAs, and other macromolecules over large distances.
The phloem also transmits nerve-like electrical signals that aid in the integration of whole-plant activity. Nerve signaling is essential in animals. It is much faster than the plants because they respond to the change in an environment that facilitates the rapid movements of animals.
Animals do not have nerve cells that carry inputs in electrical impulses. Thus they respond to stimuli almost instantly. Plants respond to stimuli more slowly than animals, most likely due to a lack of nerve cells.
The heart circulates animal hormones through the bloodstream. In comparison, the hormones in plants distribute through the tissues. There isn't a heart. Neurons in animals transmit electrochemical impulses at a high rate. In contrast, plants have no structures that are similar to neurons.
Animals have contractile muscles, which allow for quick motor reactions. In contrast, there are no similar structures in plants.