Model after
Definition 1 of 1
Pro Tip 1/3Imitation Element
The phrase implies recreating something while keeping the original as an inspiration or template. 
The new software interface is modeled after the user-friendly design of its competitor.
Pro Tip 2/3Creative Inspiration
'Model after' often suggests a positive influence or admiration for the source being emulated. 
She modeled her dance routine after a famous ballerina's performance.
Pro Tip 3/3Not Identical
Using 'model after' doesn't mean creating an exact copy; it involves elements of the original in a new creation. 
The architect modeled the new plaza after ancient Roman forums, with modern twists.