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As I understand it, muscles grow in strength when they are subjected to loads larger than they are used to handling. This causes local damage to the muscles cells and, through an immune system response, the muscle tissue is repaired but stronger.

I want to run some simulations on muscle strengthening. I looked into Hill's muscle model and have found implementations in Python. However, most examples I've seen don't consider the idea of strengthening.

Is there model that exists which describes, based on some initial conditions and a given load and number of reps, how much the muscle strengthens over time?

I am looking for something that's written from a "physics" perspective, where the primary purpose is to characterize the biological process but simply the mechanical properties of the muscle, just as Hill's model doesn't actually model the specifics of the actual muscle contraction.

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