The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Global identifiability of nonlinear models of biological systems
Abstract
A prerequisite for well-posedness of parameter estimation of biological and physiological systems is a priori global identifiability, a property which concerns uniqueness of the solution for the unknown model parameters. Assessing a priori global identifiability is particularly difficult for nonlinear dynamic models. Various approaches have been proposed in the literature but no solution exists in the general case. In this paper, we present a new algorithm for testing global identifiability of nonlinear dynamic models, based on differential algebra. The characteristic set associated to the dynamic equations is calculated in an efficient way and computer algebra techniques are used to solve the resulting set of nonlinear algebraic equations. The algorithm is capable of handling many features arising in biological system models, including zero initial conditions and time-varying parameters. Examples of usage of the algorithm for analyzing a priori global identifiability of nonlinear models of biological and physiological systems are presented.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Ritt, J. (1950) · Colloquium Publications · doi:10.1090/coll/033 · Cited by 460
Cited by
On Identifiability of Nonlinear ODE Models and Applications in Viral Dynamics
Miao, H., Xia, X., Perelson, A. S., & Wu, H. (2011) · SIAM Review · doi:10.1137/090757009 · Cited by 610
Systems biology: parameter estimation for biochemical models
Ashyraliyev, M., Fomekong‐Nanfack, Y., Kaandorp, J. A., & Blom, J. G. (2009) · The FEBS Journal · doi:10.1111/j.1742-4658.2008.06844.x · Cited by 323
A hybrid approach for efficient and robust parameter estimation in biochemical pathways
Rodriguez-Fernandez, M., Mendes, P., & Banga, J. R. (2006) · Biosystems · doi:10.1016/j.biosystems.2005.06.016 · Cited by 304
Novel metaheuristic for parameter estimation in nonlinear dynamic biological systems
Rodriguez-Fernandez, M., Egea, J. A., & Banga, J. R. (2006) · BMC Bioinformatics · doi:10.1186/1471-2105-7-483 · Cited by 278
Data-based identifiability analysis of non-linear dynamical models
Hengl, S., Kreutz, C., Timmer, J., & Maiwald, T. (2007) · Bioinformatics · doi:10.1093/bioinformatics/btm382 · Cited by 166
Metadata
- Authors
- Audoly, S., Bellu, G., D'Angio, L., Saccomani, M. P., & Cobelli, C.
- Venue
- IEEE Transactions on Biomedical Engineering
- Published
- 2001
- Volume
- 48
- Issue
- 1
- Pages
- 55-65
- ISSN
- 0018-9294 (ISSN-L)
- OpenAlex
- W2126571583
- Cited by
- 325
- References
- 1
- FWCI
- 14.35
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Global identifiability of nonlinear models of biological systems. https://app.cochat.ai/papers/10.1109/10.900248
- The paper
- Audoly, S., Bellu, G., D'Angio, L., Saccomani, M. P., & Cobelli, C. (2001). Global identifiability of nonlinear models of biological systems. IEEE Transactions on Biomedical Engineering. https://doi.org/10.1109/10.900248
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
