Using and Updating the StoryMenu?

Hello, i am trying to learn how to use the StoryMenu in a dynamic way.

How would you go about updating the StoryMenu from passage to passage? Say if you have simple day system that would display Monday to Sunday with a string, and have a go to sleep passage, which would then progress to the next day and display that in the StoryMenu?

Also if you have simple value like an integer or something like.

Thanks