  We consider a particle system with uniform coupling between a macroscopic
component and individual particles. The constraint for each particle is of full
rank, which implies that each movement of the macroscopic component leads to a
movement of all particles and vice versa. Skeletal muscle tissues share a
similar property which motivates this work.
  We prove convergence of the mean-field limit, well-posedness and a stability
estimate for the mean-field PDE.
