TITLE: How to braid a ribbon knot
QUESTION [6 upvotes]: Is there any algorithm known for braiding ribbon knots? More specifically I need to braid a generic ribbon knot presented as boundary of a ribbon surface= union of two 0-handles and one 1-handle. (Unfortunately MO did not allow me to add a picture).

REPLY [6 votes]: If I understand your question correctly, the answer is in the paper

Lee Rudolph, Braided surfaces and Seifert ribbons for closed braids, Comment. Math. Helvetici 58 (1983), 1–37.

In fact, in Section 3 Rudolph proves that every ribbon surface is isotopic to one arising from a braid (in a very concrete way, explained in detail in the paper), which is a lot stronger than what you ask for.