All scientific generalization and abstraction, all generalization and abstraction of any kind, is "just a metaphor." Except at the most simplistic level, humans interact with the universe through metaphor. — T Clark
I disagree. Scientific modelling is a very specific process in which a system of inferences available in a formal system (the model) can be made to/ought to match the system of causal relations in a natural system. Cf. Robert Rosen's modelling relation:
Note that Rosen distinguishes a model from a simulation: whereas a model specifically aims to redouble causal relations by means of formal entailments, a simulation does not (the entailment relations in a simulation are a 'black box', one simply tinkers with the knobs until the simulation 'looks right'). Conway's
'game of life' would be one such example of a simulation. Or else something like Stéphane Leduc's famous 'models' of life (created using some clever chemistry) which look and sometimes even act like living things, are also mere simulations, and not models of life, and they are simulations because they do not replicate the causal relations involved in living things. Their 'parameters of change' are entirely different. An example of Ludec's work (which was a scientific bombshell when he published, although his name is forgotten today):

(Evelyn Fox Keller describes Leduc's work: "by employing a variety of metallic salts and alkaline silicates (for example, ferrocyanide of copper, potash, and sodium phosphate) and adjusting their proportions and the stage of “growth” at which they were added, Leduc was able to produce a number of spectacular effects—inorganic structures exhibiting a quite dramatic similitude to the growth and form of ordinary vegetable and marine life . By “appropriate means,” it proved possible to produce “terminal organs resembling flowers and seed-capsules,” “corral-like forms,” and “remarkable fungus-like forms.” (Fox-Keller,
Making Sense of Life)
Rosen has a more mathematically rigorous way to distinguish between models and simulations, but the gist is conveyed I hope. The larger point is that to call scientific modelling a 'metaphor' severely understates what is involved in modelling, with metaphors being more akin to simulations.
Can you explain what you mean by "phenomenological laws." — T Clark
A quick example from Cartwright because I've written too much already: "Francis Everitt, a distinguished experimental physicist and biographer of James Clerk Maxwell, picks Airy's law of Faraday's magneto-optical effect as a characteristic phenomenological law. In a paper with Ian Hacking, he reports, ‘Faraday had no mathematical theory of the effect, but in 1846 George Biddell Airy (1801–92), the English Astronomer Royal, pointed out that it could be represented analytically in the wave theory of light by adding to the wave equations, which contain second derivatives of the displacement with respect to time, other
ad hoc terms, either first or third derivatives of the displacement.’ Everitt and Hacking contrast Airy's law with other levels of theoretical statement—‘physical models based on mechanical hypotheses,... formal analysis within electromagnetic theory based on symmetry arguments’, and finally, ‘a physical explanation in terms of electron theory’ given by Lorentz, which is ‘essentially the theory we accept today’.
Everitt distinguishes Airy's phenomenological law from the later theoretical treatment of Lorentz, not because Lorentz employs the unobservable electron, but rather because the electron theory explains the magneto-optical effect and Airy's does not. Phenomenological laws describe what happens. They describe what happens in superfluids or meson-nucleon scattering as well as the more readily observed changes in Faraday's dense borosilicate glass, where magnetic fields rotate the plane of polarization"; [
Example of Airy modelling ]
The point of the distinction being that "In modern physics, and I think in other exact sciences as well, phenomenological laws are meant to describe, and they often succeed reasonably well. But fundamental equations are meant to explain, and paradoxically enough the cost of explanatory power is descriptive adequacy. Really powerful explanatory laws of the sort found in theoretical physics do not state the truth."