On structural and practical identifiability

We discuss issues of structural and practical identifiability partially observed differential equations, which are often applied in systems biology. The development mathematical methods to investigate nonidentifiability has a long tradition. Computationally efficient detect cure it have been developed recently. Practical nonidentifiability, on the other hand, not investigated at same conceptually clear level. argue that is more challenging than when comes modeling experimental data. classical approach based Fisher information matrix severe shortcomings. As an alternative, we propose using profile likelihood, powerful resolve nonidentifiability.