Name
Abstract | ||
|---|---|---|
Structural identifiability concerns finding which unknown parameters of a model can be quantified from given input-output data. Many linear ODE models, used in systems biology and pharmacokinetics, are unidentifiable, which means that parameters can take on an infinite number of values and yet yield the same input-output data. We use commutative algebra and graph theory to study a particular class of unidentifiable models and find conditions to obtain identifiable scaling reparametrizations of these models. Our main result is that the existence of an identifiable scaling reparametrization is equivalent to the existence of a scaling reparametrization by monomial functions. We provide an algorithm for finding these reparametrizations when they exist and partial results beginning to classify graphs which possess an identifiable scaling reparametrization. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.jsc.2013.11.002 | J. Symb. Comput. |
Keywords | DocType | Volume |
identifiable reparametrizations,structural identifiability concerns finding,infinite number,linear compartment model,commutative algebra,identifiable scaling reparametrization,identifiable scaling reparametrizations,input-output data,scaling reparametrization,linear ode model,unidentifiable model,graph theory | Journal | 63 |
ISSN | Citations | PageRank |
0747-7171 | 4 | 0.47 |
References | Authors | |
4 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Nicolette Meshkat | 1 | 4 | 0.47 |
| Seth Sullivant | 2 | 93 | 19.17 |