Algorithm for globally identifiable reparametrizations of ODEs
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916423864942592 |
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| author | Falkensteiner, Sebastian Ovchinnikov, Alexey Sendra, J. Rafael |
| author_facet | Falkensteiner, Sebastian Ovchinnikov, Alexey Sendra, J. Rafael |
| contents | Structural global parameter identifiability indicates whether one can determine a parameter's value in an ODE model from given inputs and outputs. If a given model has parameters for which there is exactly one value, such parameters are called globally identifiable. Given an ODE model involving not globally identifiable parameters, first we transform the system into one with locally identifiable parameters. As a main contribution of this paper, then we present a procedure for replacing, if possible, the ODE model with an equivalent one that has globally identifiable parameters. We first derive this as an algorithm for one-dimensional ODE models and then reuse this approach for higher-dimensional models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00762 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Algorithm for globally identifiable reparametrizations of ODEs Falkensteiner, Sebastian Ovchinnikov, Alexey Sendra, J. Rafael Systems and Control Symbolic Computation Analysis of PDEs 93C15, 93B25, 93B30, 34A55, 14E08, 14M20, 14Q20, 12H05, 92B05 Structural global parameter identifiability indicates whether one can determine a parameter's value in an ODE model from given inputs and outputs. If a given model has parameters for which there is exactly one value, such parameters are called globally identifiable. Given an ODE model involving not globally identifiable parameters, first we transform the system into one with locally identifiable parameters. As a main contribution of this paper, then we present a procedure for replacing, if possible, the ODE model with an equivalent one that has globally identifiable parameters. We first derive this as an algorithm for one-dimensional ODE models and then reuse this approach for higher-dimensional models. |
| title | Algorithm for globally identifiable reparametrizations of ODEs |
| topic | Systems and Control Symbolic Computation Analysis of PDEs 93C15, 93B25, 93B30, 34A55, 14E08, 14M20, 14Q20, 12H05, 92B05 |
| url | https://arxiv.org/abs/2401.00762 |