Final answer:
The old and new models of movement through the Golgi are the Cisternal Maturation Model and the Vesicular Transport Model, respectively. The Cisternal Maturation Model suggests that the cisternae of the Golgi mature and move from the cis face to the trans face, while the Vesicular Transport Model proposes the involvement of transport vesicles in delivering proteins and lipids for processing and modification within the Golgi.
Step-by-step explanation:
The old model of movement through the Golgi is known as the Cisternal Maturation Model, while the new model is called the Vesicular Transport Model.
The Cisternal Maturation Model suggests that the cisternae of the Golgi apparatus mature and move from the cis face to the trans face, with the proteins and lipids being modified as they progress through the Golgi. On the other hand, the Vesicular Transport Model proposes that transport vesicles bud off from the endoplasmic reticulum and fuse with the Golgi apparatus, delivering their contents for further processing and modification before being packaged into vesicles and transported to their final destinations.