What is a thin connective tissue surrounding each muscle cell?

The thin connective tissue surrounding each muscle cell is called the endomysium. It is a delicate sheath of reticular fibers that envelops each individual muscle fiber and separates it from its neighbors.

The endomysium contains capillaries, nerve fibers, and lymphatic vessels that supply the muscle cell with nutrients and oxygen and remove waste products.

Additionally, the endomysium provides structural support to the muscle cell and helps to maintain its shape and stability.