Yes that's a model, I'm not saying the model magically controls reality but that the underpinning reality is math - the reason you always have two apples in a bag when you start with one and add another is because of math, the human model of that isn't controlling it but if we want two apples in a bag and we currently only have one then we can use our model to determine how many apples we need to add into the bag.

The same is true of more complex systems, if we can accurately model the cellar interactions then we can derive solutions in the same way