Modeling provides a bridge between the natural sciences (physics, chem
istry, biology, and the like) and the axiomatic sciences (mathematics
and statistics). Inductively-derived descriptive models map observatio
ns of physical processes into mathematical descriptions that can be tr
eated as axioms (e.g., the various laws of physics). A synthetic model
combines descriptive models of several physical processes with a stru
ctural model (representing the interactions of those processes) for th
e purpose of deducing or predicting the consequences of interactions.
When applied together with elementary thermodynamic principles, circui
t theory provides an excellent framework for synthetic modeling.