Recently observed strongly-coupled rotational bands associated with the $ u [505]{11/2}^-$ quasiparticle state are studied by means of a microscopic tilted axis cranking (TAC) model. The results of calculation for the routhians and the $B(M1)/B(E2)$ ratios are investigated in the light of other existing models, i.e. the strong-coupling model and the conventional cranking model. It is demonstrated that only the TAC model can successfully reproduce these two observables at the same time. The reason of the success is clarified by making connections between these models.