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(i) For any initial state (x(t_{0})=x_{0}), select i_{0}=arg min_{iin S}bigl{ x_{0}^{T} mathbf{ell}_{i}bigr}, and then define (tau(r_{0})=i_{0}), where argmin means the argument which makes the function minimal.
For any initial state (x(t_{0})=x_{0}), select i_{0}=arg min_{iin S}bigl{ x_{0}^{T} mathbf{ell}_{i}bigr}, and then define (tau(r_{0})=i_{0}), where argmin means the argument which makes the function minimal.
Possible reasons for the good results in this study include the high biocompatibility of autogenous tissue, its collagen-based porous structure that is beneficial for cell function, minimal changes in the structure of mineralized collagen without dehydration (freeze drying), and rehydration procedures and preservation of beneficial noncollagenous proteins involved in mineralization.
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