Local Identifiability Analysis of NonLinear ODE Models: How to Determine All Candidate Solutions
| Autor: | Karl Thomaseth, Maria Pia Saccomani |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
0301 basic medicine
Computer science Ode Value (computer science) systems biology Rational function HIV model local identifiability nonlinear models parameter estimation Structural identifiability Inverse problem Unobservable 03 medical and health sciences 030104 developmental biology Control and Systems Engineering Identifiability Applied mathematics Identifiability analysis Free parameter |
| Zdroj: | IFAC-PapersOnLine 51 (2018): 529–534. doi:10.1016/j.ifacol.2018.03.089 info:cnr-pdr/source/autori:Thomaseth K.; Saccomani M.P./titolo:Local Identifiability Analysis of NonLinear ODE Models: How to Determine All Candidate Solutions/doi:10.1016%2Fj.ifacol.2018.03.089/rivista:IFAC-PapersOnLine/anno:2018/pagina_da:529/pagina_a:534/intervallo_pagine:529–534/volume:51 |
| DOI: | 10.1016/j.ifacol.2018.03.089 |
| Popis: | Identifiability analysis aims at answering the theoretical question whether the inverse problem is solved, uniquely, by a particular value of the free parameters, or if there is a finite or infinite number of parameter vectors that generate identical output trajectories. Multiple solutions of locally identifiable parameters imply different time courses of unmeasured variables, and arbitrarily chosen solutions can lead to misinterpretations and to erroneous conclusions. We present theoretical background and applications to locally identifiable ODE models described by rational functions, showing that structural identifiability analysis reinforces the practical identifiability approach. In a first example using a three compartment model, we discuss the algorithm that allows to find all the equivalent parameter solutions. In the second example on HIV dynamics, we show how two solutions can provide two major different scenarios regarding the prediction of unobservable variables, which may lead to different treatment strategies. In conclusion, for locally identifiable models we propose an algorithmic approach which, for the first time, allows the calculation of all numerical model solutions, the possible rejection of non admissible parameters, and the simulation of the trajectories of unobservable variables. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved. |
| Databáze: | OpenAIRE |
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