STEP-BY-STEP ANSWER:
Step 1: Intrinsic neural mechanisms, such as the enteric nervous system, control local muscular contractions and enzyme secretion.
Step 2: Extrinsic neural inputs from the central nervous system further modify these local functions.
Step 3: Hormones released by endocrine cells (e.g., gastrin, secretin, and cholecystokinin) modulate activities like acid secretion and bile release.
Final Answer: Both neural and hormonal mechanisms ensure the coordinated regulation of digestive processes, from muscle contractions to enzyme and bile secretion.