The basic idea of the model structure can be traced back to the so-called focus triplets.

If the model structure is not able to explain the experimental measurements, a set of physiologically reasonable alternative models should be created.

This model structure can be specialized or more general so that it is applicable to a larger range of systems or devices.

However, its strength in model structures has been proven, and homes and small commercial buildings are being constructed.

Among them formalisms which allow to have changing model structures while the simulation time evolves.

This data forms the foundation of the model structure.

The homotopy category of this model structure is denoted .

Yet this structure barely differs from the model structure over topological spaces.

Two possible model structures are shown on the right labeled c and d.

These are cofibrant or fibrant replacements in the respective model structures.