A concrete model is a model that is in fact a physical representation of something. The opposite is an abstract model, which is not a physical representation. Theoretical, conceptual, and computer models are all abstract models.
Scaled structure (scale model) is a three-dimensional physical representation of an object that preserves accurate relationships between all of its important aspects.
Im assuming in the story the "clone" was given to a different mother/owner. In the question they are saying that the DNA mother is the one that created/ gave the "clone"s life, while the other mother/ owner is its parental role now.