Identifiability of Model Parameter

Compartmental analysis in Biology and Medicine

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On structural identifiability

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Compartmental Models and Their Application

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System identifiability based on the power series expansion of the solution

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Compartmental Modeling and Tracer Kinetics

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Identifiability of linear and nonlinear dynamical systems

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On the practical identifiability of microbial growth models incorporating Michaelis-Menten type nonlinearities

Holmberg, A. (1982) · Mathematical Biosciences · doi:10.1016/0025-5564(82)90061-x · Cited by 293 · see citing works

Identifiability of State Space Models

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Parametrizations of linear dynamical systems: Canonical forms and identifiability

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Invariants in Experimental Data on Linear Kinetics and the Formulation of Models

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Identification of ship steering dynamics

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Procedures for parameter and state estimation of microbial growth process models

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Global approaches to identifiability testing for linear and nonlinear state space models

Walter, E., & Lecourtier, Y. (1982) · Mathematics and Computers in Simulation · doi:10.1016/0378-4754(82)90645-0 · Cited by 158 · see citing works

Construction of minimal linear state-variable models from finite input-output data

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6th IFAC Symposium on identification and system parameter estimation

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Comprehensive Kinetics of Triiodothyronine Production, Distribution, and Metabolism in Blood and Tissue Pools of the Rat Using Optimized Blood-Sampling Protocols*

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Unidentifiable compartmental models: what to do?

Walter, E., & Lecourtier, Y. (1981) · Mathematical Biosciences · doi:10.1016/0025-5564(81)90025-0 · Cited by 107 · see citing works

Identifiability of compartmental systems and related structural properties

Cobelli, C., Lepschy, A., & Jacur, G. R. (1979) · Mathematical Biosciences · doi:10.1016/0025-5564(79)90026-9 · Cited by 97 · see citing works

Complete solution of the three-compartment model in steady state after single injection of radioactive tracer

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Complete parameter bounds and quasiidentifiability conditions for a class of unidentifiable linear systems

DiStefano, J. J. (1983) · Mathematical Biosciences · doi:10.1016/0025-5564(83)90070-6 · Cited by 79 · see citing works

Compartment analysis: An inverse problem

Rubinow, S. I., & Winzer, A. (1971) · Mathematical Biosciences · doi:10.1016/0025-5564(71)90085-x · Cited by 62 · see citing works

Identifiability results on some constrained compartmental systems

Cobelli, C., Lepschy, A., & Jacur, G. R. (1979) · Mathematical Biosciences · doi:10.1016/0025-5564(79)90036-1 · Cited by 61 · see citing works

Computational problems of compartment models with michaelis-menten-type elimination

Metzler, C. M., & Tong, D. D. M. (1981) · Journal of Pharmaceutical Sciences · doi:10.1002/jps.2600700706 · Cited by 52 · see citing works

Identification of the dynamics of thyroid hormone metabolism

DiStefano, J. J., Wilson, K. C., JANG, M., & Mak, P. H. (1975) · Automatica · doi:10.1016/0005-1098(75)90056-4 · Cited by 47 · see citing works

Structural identifiability of compartmental models and pathophysiological information from the kinetics of drugs

Milanese, M., & Molino, G. (1975) · Mathematical Biosciences · doi:10.1016/0025-5564(75)90101-7 · Cited by 42 · see citing works

An investigation of the sources of nonuniqueness in deterministic identifiability

Norton, J. P. (1982) · Mathematical Biosciences · doi:10.1016/0025-5564(82)90033-5 · Cited by 40 · see citing works

The deterministic identifiability of nonlinear pharmacokinetic models

Godfrey, K. R., & Fitch, W. R. (1984) · Journal of Pharmacokinetics and Biopharmaceutics · doi:10.1007/bf01059277 · Cited by 38 · see citing works

Normal-mode identifiability analysis of linear compartmental systems in linear stages

Norton, J. P. (1980) · Mathematical Biosciences · doi:10.1016/0025-5564(80)90124-8 · Cited by 37 · see citing works

Mathematical properties of compartment models with Michaelis-Menton type elimination

Tong, D. D. M., & Metzler, C. M. (1980) · Mathematical Biosciences · doi:10.1016/0025-5564(80)90063-2 · Cited by 32 · see citing works

On identifiability of impulse-response in compartmental systems

Eisenfeld, J. (1979) · Mathematical Biosciences · doi:10.1016/0025-5564(79)90003-8 · Cited by 29 · see citing works

Tracer experiment design for unique identification of nonlinear physiological systems

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An algorithm for the identifiable parameter combinations of the general mammillary compartmental model

Landaw, E. M., Chen, B. C.-M., & DiStefano, J. J. (1984) · Mathematical Biosciences · doi:10.1016/0025-5564(84)90110-x · Cited by 28 · see citing works

New results on the problem of identifiability of a linear system

Delforge, J. (1980) · Mathematical Biosciences · doi:10.1016/0025-5564(80)90005-x · Cited by 27 · see citing works

Necessary and sufficient structural condition for local identifiability of a system with linear compartments

Delforge, J. (1981) · Mathematical Biosciences · doi:10.1016/0025-5564(81)90084-5 · Cited by 21 · see citing works

Algorithms for the identifiable parameter combinations and parameter bounds of unidentifiable catenary compartmental models

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Importance of the use of the appropriate pharmacokinetic model to analyzein vivo enzyme constants

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On the identification of Michaelis-Menten elimination parameters from a single dose-response curve

Godfrey, K. R., & Fitch, W. R. (1984) · Journal of Pharmacokinetics and Biopharmaceutics · doi:10.1007/bf01059278 · Cited by 17 · see citing works

Factors affecting the identifiability of compartmental models

Godfrey, K. R., Jones, R. P., Brown, R. F., et al. (1982) · Automatica · doi:10.1016/0005-1098(82)90088-7 · Cited by 15 · see citing works

Some extensions to the exhaustive-modeling approach to structural identifiability

Chapman, M. J., & Godfrey, K. R. (1985) · Mathematical Biosciences · doi:10.1016/0025-5564(85)90103-8 · Cited by 14 · see citing works

System analysis and estimation of key parameters of thyroid hormone metabolism in sheep

Wilson, K. C., DiStefano, J. J., Fisher, D. A., & Sack, J. (1977) · Annals of Biomedical Engineering · doi:10.1007/bf02409340 · Cited by 14 · see citing works

The Identifiability of Linear Compartmental Models

Godfrey, K. R., Jones, R. P., & Brown, R. F. (1979) · IFAC Proceedings Volumes · doi:10.1016/s1474-6670(17)65484-3 · Cited by 13 · see citing works

A matrix with real characteristic roots

Goldberg, K. (1956) · Journal of research of the National Bureau of Standards · doi:10.6028/jres.056.012 · Cited by 12 · see citing works

Modal analysis of identifiablity of linear compartmental models

Norton, J. P., Brown, R. F., & Godfrey, K. R. (1980) · IEE Proceedings D Control Theory and Applications · doi:10.1049/ip-d:19800014 · Cited by 11 · see citing works

Linear pharmacokinetic models: Geometric construction to determine transfer and elimination rate constants

Chau, N. P. (1977) · Journal of Pharmacokinetics and Biopharmaceutics · doi:10.1007/bf01066218 · Cited by 11 · see citing works

Structural zeros in the modal matrix and its inverse

Norton, J. P. (1980) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1980.1102468 · Cited by 11 · see citing works

Modal analysis of identifiablity of linear compartmental models

Norton, J. P., Brown, R. F., & Godfrey, K. R. (1980) · IEE Proceedings D Control Theory and Applications · doi:10.1049/ip-d.1980.0014 · Cited by 11 · see citing works

Differential algebra methods for the study of the structural identifiability of rational function state-space models in the biosciences

Margaria, G., Riccomagno, E., Chappell, M. J., & Wynn, H. P. (2001) · Mathematical Biosciences · doi:10.1016/s0025-5564(01)00079-7 · Cited by 102 · see citing works

Confidence regions of estimated parameters for ecological systems

Marsili-Libelli, S., Guerrizio, S., & Checchi, N. (2003) · Ecological Modelling · doi:10.1016/s0304-3800(03)00068-1 · Cited by 92 · see citing works

Identifiability of uncontrolled nonlinear rational systems

Evans, N. D., Chapman, M. J., Chappell, M. J., & Godfrey, K. R. (2002) · Automatica · doi:10.1016/s0005-1098(02)00094-8 · Cited by 75 · see citing works

Best Practices to Maximize the Use and Reuse of Quantitative and Systems Pharmacology Models: Recommendations From the United Kingdom Quantitative and Systems Pharmacology Network

Cucurull‐Sanchez, L., Chappell, M. J., Chelliah, V., Amy Cheung, S. Y., Derks, G., Penney, M., Phipps, A., Malik‐Sheriff, R. S., Timmis, J., Tindall, M. J., et al. (2019) · CPT: Pharmacometrics & Systems Pharmacology · doi:10.1002/psp4.12381 · Cited by 61 · see citing works

Structural identifiability for a class of non-linear compartmental systems using linear/non-linear splitting and symbolic computation

Chapman, M. J., Godfrey, K. R., Chappell, M. J., & Evans, N. D. (2003) · Mathematical Biosciences · doi:10.1016/s0025-5564(02)00223-7 · Cited by 36 · see citing works

Structural identifiability of surface binding reactions involving heterogeneous analyte: Application to surface plasmon resonance experiments

Evans, N. D., Moyse, H. A. J., Lowe, D., Briggs, D., Higgins, R., Mitchell, D., Zehnder, D., & Chappell, M. J. (2013) · Automatica · doi:10.1016/j.automatica.2012.09.015 · Cited by 24 · see citing works

The structural identifiability and parameter estimation of a multispecies model for the transmission of mastitis in dairy cows

White, L. J., Evans, N. D., Lam, T. J. G. M., Schukken, Y. H., Medley, G. F., Godfrey, K. R., & Chappell, M. J. (2001) · Mathematical Biosciences · doi:10.1016/s0025-5564(01)00080-3 · Cited by 21 · see citing works

Identifiability and experimental design in perturbation studies

Gross, T., & Blüthgen, N. (2020) · Bioinformatics · doi:10.1093/bioinformatics/btaa404 · Cited by 11 · see citing works

Identification of parameter correlations for parameter estimation in dynamic biological models

Li, P., & Vu, Q. D. (2013) · BMC Systems Biology · doi:10.1186/1752-0509-7-91 · Cited by 71 · see citing works

Parameter Identifiability of Fundamental Pharmacodynamic Models

Janzén, D. L. I., Bergenholm, L., Jirstrand, M., Parkinson, J., Yates, J., Evans, N. D., & Chappell, M. J. (2016) · Frontiers in Physiology · doi:10.3389/fphys.2016.00590 · Cited by 44 · see citing works

Assessing parameter identifiability for multiple performance criteria to constrain model parameters

Guse, B., Kiesel, J., Pfannerstill, M., et al. (2020) · Hydrological Sciences Journal · doi:10.1080/02626667.2020.1734204 · Cited by 35 · see citing works

Regions of constrained maximum likelihood parameter identifiability

Lee, C.-H., & Herget, C. J. (1975) · IEEE Conference on Decision and Control including the Symposium on Adaptive Processes (CDC) · doi:10.1109/cdc.1975.270609 · Cited by 1 · see citing works

Practical identifiability analysis of large environmental simulation models

Brun, R., Reichert, P., & Künsch, H. R. (2001) · Water Resources Research · doi:10.1029/2000wr900350 · Cited by 609 · see citing works