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

35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn