The preposition 'from' to show source
Solution 1:
In both those cases I would write using. For example "This model was created using experimental data" I would say this because the model does not consist of the data but of algorithms and computational routines developed to reflect the relationships between the experimental data to calculate outcomes.
This is different from "This omelette was made from free range eggs" (the omlette consists of the proteins, fats and other nutrients making up the eggs, just in a different physical form) and "This house was built from local stone" (the walls consist of actual lumps of stone)