Two internal factors that are important in advancing the cell cycle are

Kineses and Cyclin

Explanation:

Kineses and Cyclin are the two important internal factors in the advancing of cell cycle.

In response to a stimuli, the nondirectional motion of an organism or cell depends on the strength of the stimulus or the movement without an apparent physical cause is called Kineses.

Any of a variety of cell division-related proteins that are believed to activate some mitosis processes is called Cyclin.