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1. Full Text On Identifiability of Nonlinear ODE Models and Applications in Viral Dynamics
by Hongyu Miao and Xiaohua Xia and Alan S. Perelson and Hulin Wu
SIAM Review, ISSN 0036-1445, 3/2011, Volume 53, Issue 1, pp. 3 - 39
Ordinary differential equations (ODEs) are a powerful tool for modeling dynamic processes with wide applications in a variety of scientific fields. Over the... 
Identifiability | Algebra | HIV | Odes | Ordinary differential equations | SURVEY and REVIEW | Mathematical independent variables | Polynomials | Mathematics | Parametric models | Modeling | Sensitivity-based identifiability | Viral dynamics | Structural identifiability | ODE modeling | Practical identifiability | DELAY-DIFFERENTIAL EQUATIONS | sensitivity-based identifiability | MATHEMATICS, APPLIED | MATHEMATICAL-ANALYSIS | viral dynamics | structural identifiability | practical identifiability | TIME-DELAY | PARAMETER IDENTIFIABILITY | GLOBAL IDENTIFIABILITY | BIOLOGICAL COMPARTMENTAL SYSTEMS | SENSITIVITY-ANALYSIS | A VIRUS-INFECTION | Medicine, Experimental | Medical research | Nonlinear theories | Analysis | Methods | Differential equations | Studies | Models | Biomedical research | Infectious diseases
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2. Full Text Determinantal Generalizations of Instrumental Variables
by Weihs, Luca and Robinson, Bill and Dufresne, Emilie and Kenkel, Jennifer and Kubjas Reginald McGee II, Kaie and Reginald, McGee II and Nguyen, Nhan and Robeva, Elina and Drton, Mathias
Journal of Causal Inference, ISSN 2193-3677, 03/2018, Volume 6, Issue 1
Linear structural equation models relate the components of a random vector using linear interdependencies and Gaussian noise. Each such model can be naturally... 
trek separation | structural equation models | half-trek criterion | identifiability,generic identifiability | Identifiability | Structural equation models | Trek separation | Half-trek criterion | Generic identifiability
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3. Full Text Inverse modelling, sensitivity and Monte Carlo analysis in R using package FME
by Soetaert, K.E.R and Petzoldt, T
Journal of Statistical Software, ISSN 1548-7660, 2010, Volume 33, Issue 3, pp. 1 - 28
Mathematical simulation models are commonly applied to analyze experimental or environmental data and eventually to acquire predictive capabilities. Typically... 
Identifiability | R | Sensitivity | Simulation models | Fitting | Differential equations | Monte carlo | simulation models | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | Monte Carlo | identifiability R | IDENTIFIABILITY ANALYSIS | STATISTICS & PROBABILITY | sensitivity | fitting | differential equations | identifiability
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4. Full Text Full observability and estimation of unknown inputs, states and parameters of nonlinear biological models
by Villaverde, AF and Tsiantis, N and Banga, JR
JOURNAL OF THE ROYAL SOCIETY INTERFACE, ISSN 1742-5689, 07/2019, Volume 16, Issue 156, p. 20190043
In this paper, we address the system identification problem in the context of biological modelling. We present and demonstrate a methodology for (i) assessing... 
INVERTIBILITY | MULTIDISCIPLINARY SCIENCES | STRUCTURAL IDENTIFIABILITY | ALGORITHM | dynamic modelling | IDENTIFIABILITY ANALYSIS | GLOBAL IDENTIFIABILITY | input reconstruction | identifiability | parameter estimation | SYSTEMS | system identification | observability | 1004 | 181 | Life Sciences–Mathematics interface
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5. Full Text A confidence building exercise in data and identifiability: Modeling cancer chemotherapy as a case study
by Eisenberg, Marisa C and Jain, Harsh V
Journal of Theoretical Biology, ISSN 0022-5193, 10/2017, Volume 431, pp. 63 - 78
Mathematical modeling has a long history in the field of cancer therapeutics, and there is increasing recognition that it can help uncover the mechanisms that... 
Identifiability | Compartmental models | Parameter estimation | Cancer | Chemotherapy model | PRACTICAL IDENTIFIABILITY | CELLS | STRUCTURAL IDENTIFIABILITY | PROFILE LIKELIHOOD | PARAMETER IDENTIFIABILITY | GLOBAL IDENTIFIABILITY | COLORECTAL-CANCER | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | SYSTEMS | MATHEMATICAL-MODELS | OPTIMAL EXPERIMENTAL-DESIGN | Humans | Antineoplastic Agents - therapeutic use | Antineoplastic Agents - administration & dosage | Paclitaxel - therapeutic use | Neoplasms - drug therapy | Dose-Response Relationship, Drug | Organoplatinum Compounds - administration & dosage | Algorithms | Oxaliplatin | Models, Biological | Cell Cycle - drug effects | Neoplasms - pathology | Paclitaxel - administration & dosage | Organoplatinum Compounds - therapeutic use | Case studies | Antimitotic agents | Chemotherapy | Analysis | Models | Antineoplastic agents | Differential equations
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6. Full Text Mathematical modelling of chemical processesuobtaining the best model predictions and parameter estimates using identifiability and estimability procedures
by McLean, KAP and McAuley, KB
CANADIAN JOURNAL OF CHEMICAL ENGINEERING, ISSN 0008-4034, 04/2012, Volume 90, Issue 2, pp. 351 - 366
Chemical engineers who develop fundamental models often have difficulties estimating all model parameters due to problems with parameter identifiability and... 
PRACTICAL IDENTIFIABILITY | STRUCTURAL IDENTIFIABILITY | DIFFERENTIAL-EQUATIONS | ENGINEERING, CHEMICAL | mean squared error | ACTIVATED-SLUDGE RESPIRATION | POPULATION-BALANCE MODEL | GLOBAL IDENTIFIABILITY | parameter subset selection | METALLOCENE CATALYST | identifiability | SENSITIVITY-ANALYSIS | parameter estimation | MAMMALIAN-CELL CULTURES | EXPERIMENTAL-DESIGN | estimability
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7. Full Text Comment on: Dong et al. (2017) "Issues raised by the reference doses for perfluorooctonate sulfonate and perfluorooctanoic acid."
by Wambaugh, JF
ENVIRONMENT INTERNATIONAL, ISSN 0160-4120, 12/2018, Volume 121, Issue Pt 2, pp. 1372 - 1374
ENVIRONMENTAL SCIENCES | IDENTIFIABILITY
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8. Full Text Assessing parameter identifiability in compartmental dynamic models using a computational approach: Application to infectious disease transmission models 01 Mathematical Sciences 0104 Statistics 01 Mathematical Sciences 0102 Applied Mathematics 11 Medical and Health Sciences 1117 Public Health and Health Services
by Roosa, Kimberlyn and Chowell, Gerardo
Theoretical Biology and Medical Modelling, 01/2019, Volume 16, Issue 1
Uncertainty quantification | Practical parameter identifiability | Compartmental models | Epidemic models | Structural parameter identifiability | Parameter identifiability
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9. Full Text Systems biology: Parameter estimation for biochemical models
by Ashyraliyev, Maksat and Fomekong Nanfack, Y and Kaandorp, Jaap and Blom, Joke
FEBS Journal, ISSN 1742-464X, 02/2009, Volume 276, Issue 4, pp. 886 - 902
htmlabstractMathematical models of biological processes have various applications: to assist in understanding the functioning of a system, to simulate... 
a priori and a posteriori identifiability | parameter estimation | local and global optimization | a prioiri and a posteriori identifiability | Local and global optimization | Parameter estimation | A prioiri and a posteriori identifiability | MECHANISM | INFORMATION | BIOCHEMISTRY & MOLECULAR BIOLOGY | BOUND METHODS | MEAD SIMPLEX-METHOD | GENETIC ALGORITHMS | GLOBAL IDENTIFIABILITY | SCATTER SEARCH | CONVERGENCE | OPTIMIZATION | EFFICIENT | Algorithms | Nonlinear Dynamics | Models, Biological | Systems Biology | Computer Simulation | Biochemistry | Mathematical models | Estimating techniques | Simulation
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10. Full Text Time-invariant biological networks with feedback loops: structural equation models and structural identifiability
by Wang, Yulin and Luo, Yu and Wang, Mingwen and Miao, Hongyu
IET Systems Biology, ISSN 1751-8849, 12/2018, Volume 12, Issue 6, pp. 264 - 272
Quantitative analyses of biological networks such as key biological parameter estimation necessarily call for the use of graphical models. While biological... 
Research Article | time-invariant biological networks | least squares approximations | biology | feedback loops | graphical model methods | time-invariant linear structural equation models | subnetwork structure | matrix algebra | identifiability equations | CELL BIOLOGY | parameter identifiability problem | time-invariant linear SEMs | GLOBAL IDENTIFIABILITY | biological parameter estimation | MATHEMATICAL & COMPUTATIONAL BIOLOGY | parameter estimation | elegans neural network | statistical analysis | structural identifiability analysis problem
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11. Full Text A screw theory based approach to determining the identifiable parameters for calibration of parallel manipulators
by Yin, F.W and Tian, W.J and Liu, H.T and Huang, T and Chetwynd, D.G
Mechanism and Machine Theory, ISSN 0094-114X, 03/2020, Volume 145, p. 103665
Establishing complete, continuous and minimal error models is fundamentally significant for the calibration of robotic manipulators. Motivated by practical... 
Identifiability | Error modeling | Calibration | Robotic manipulators
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12. Full Text Revisiting Baarda's concept of minimal detectable bias with regard to outlier identifiability
by Proszynski, W
JOURNAL OF GEODESY, ISSN 0949-7714, 10/2015, Volume 89, Issue 10, pp. 993 - 1003
The concept of minimal detectable bias (MDB) as initiated by Baarda (Publ Geod New Ser 2(5), 1968) and later developed by Wang and Chen (Acta Geodaet et... 
GEOCHEMISTRY & GEOPHYSICS | REMOTE SENSING | Folded normal distribution | Partial identifiability index | Outlier-exposing responses | Mis-identifiability index | RELIABILITY | Outlier identifiability index | Bias | Mathematics
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13. Full Text A systematic approach for doing an a priori identifiability study of dynamical nonlinear models
by Verdière, N and Orange, S
Mathematical Biosciences, ISSN 0025-5564, 02/2019, Volume 308, pp. 105 - 113
This paper presents a method for investigating, through an automatic procedure, the (lack of) structural identifiability of dynamical models parameters. This... 
Nonlinear models | Relative identifiability | Parameters | Algorithm | GLOBAL IDENTIFIABILITY | ODE MODELS | STRUCTURAL IDENTIFIABILITY | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | PARAMETER COMBINATIONS | REPARAMETERISATIONS | Parameter identification | Parameter estimation | Test procedures | Dynamical Systems | Mathematics | Humanities and Social Sciences | Methods and statistics
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14. Full Text Identifiability and estimation of multiple transmission pathways in cholera and waterborne disease
by Eisenberg, Marisa C and Robertson, Suzanne L and Tien, Joseph H
Journal of Theoretical Biology, ISSN 0022-5193, 05/2013, Volume 324, pp. 84 - 102
Cholera and many waterborne diseases exhibit multiple characteristic timescales or pathways of infection, which can be modeled as direct and indirect... 
Parameter estimation | Disease dynamics | Cholera | Waterborne diseases | Differential algebra | NONLINEAR ODE MODELS | STRUCTURAL IDENTIFIABILITY | VIBRIO-CHOLERAE | INFECTIOUS-DISEASE | GLOBAL IDENTIFIABILITY | PARAMETER IDENTIFIABILITY | OUTBREAKS | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | SYSTEMS | EPIDEMIC | DRINKING-WATER | Likelihood Functions | Angola - epidemiology | Disease Susceptibility | Disease Outbreaks | Models, Biological | Cholera - epidemiology | Computer Simulation | Humans | Cholera - transmission | Water Microbiology | Algebra | Disease transmission | Analysis | Development and progression | Health aspects | Public health | Waterborne infections
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15. Calculating all multiple parameter solutions of ODE models to avoid biological misinterpretations
by Saccomam, MP and Thomaseth, K
MATHEMATICAL BIOSCIENCES AND ENGINEERING, ISSN 1547-1063, 2019, Volume 16, Issue 6, pp. 6438 - 6453
Biological system's dynamics are increasingly studied with nonlinear ordinary differential equations, whose parameters are estimated from input/output... 
multiple parameter solutions | differential equation | GLOBAL IDENTIFIABILITY | local identifiability | HIV model | MATHEMATICAL & COMPUTATIONAL BIOLOGY | parameter estimation | IDENTIFIABILITY ANALYSIS | biological systems
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16. Full Text Identifiability of Generalized Randles Circuit Models
by Alavi, Seyed Mohammad Mahdi and Mahdi, Adam and Payne, Stephen J and Howey, David A
IEEE Transactions on Control Systems Technology, ISSN 1063-6536, 11/2017, Volume 25, Issue 6, pp. 2112 - 2120
The Randles circuit (including a parallel resistor and capacitor in series with another resistor) and its generalized topology have widely been employed in... 
Randles circuit | Parameter estimation | Identifiability | System identification | Integrated circuit modeling | Equivalent circuits | parameter estimation | system identification | PARAMETRIZATIONS | STRUCTURAL IDENTIFIABILITY | IDENTIFICATION | LI-ION BATTERIES | ENGINEERING, ELECTRICAL & ELECTRONIC | GLOBAL IDENTIFIABILITY | NONLINEAR-SYSTEMS | CELL | AUTOMATION & CONTROL SYSTEMS
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17. Full Text Structural and practical identifiability analysis of outbreak models
by Tuncer, Necibe and Le, Trang T
Mathematical Biosciences, ISSN 0025-5564, 05/2018, Volume 299, pp. 1 - 18
Estimating the reproduction number of an emerging infectious disease from an epidemiological data is becoming more essential in evaluating the current status... 
Cumulative incidence | Outbreak models | Structural identifiability | Practical identifiability | Emerging infectious disease | PARAMETER-ESTIMATION | CHOLERA | GLOBAL IDENTIFIABILITY | TRANSMISSION | DISEASE | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | DYNAMICS | EPIDEMIC | Monte Carlo method | Epidemics | Algebra | Epidemiology | Analysis | Communicable diseases
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18. Full Text Combining the ‘bottom up’ and ‘top down’ approaches in pharmacokinetic modelling: fitting PBPK models to observed clinical data
by Tsamandouras, Nikolaos and Rostami‐Hodjegan, Amin and Aarons, Leon
British Journal of Clinical Pharmacology, ISSN 0306-5251, 01/2015, Volume 79, Issue 1, pp. 48 - 55
Pharmacokinetic models range from being entirely exploratory and empirical, to semi‐mechanistic and ultimately complex physiologically based pharmacokinetic... 
PBPK | parameter estimation | middle‐out approach | population variability | Bayesian analysis | identifiability | middle-out approach | INTERINDIVIDUAL VARIABILITY | STRUCTURAL IDENTIFIABILITY | LIDOCAINE DISPOSITION KINETICS | BAYESIAN-ANALYSIS | IN-VITRO | PHYSIOLOGICALLY-BASED PHARMACOKINETICS | MECHANISM-BASED INHIBITION | PRIOR DISTRIBUTIONS | TISSUE DISTRIBUTION | PHARMACOLOGY & PHARMACY | HUMAN-POPULATIONS | Pharmacokinetics | Models, Biological | Humans | Bayes Theorem | Information Storage and Retrieval | Reviews
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19. Full Text A priori parameter identifiability in models with non-rational functions
by Jain, Rishabh and Narasimhan, Sridharakumar and Bhatt, Nirav P
Automatica, ISSN 0005-1098, 11/2019, Volume 109, p. 108513
Differential algebra based approaches are used to study parameter identifiability of nonlinear systems with polynomial or rational functional forms. However,... 
Identifiability | Systems with non-rational functions | Reaction networks | Padé approximation | Power series | Differential algebra | GLOBAL IDENTIFIABILITY | Pade approximation | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC
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20. Full Text Family matters
by Hudson, KL and Collins, FS
NATURE, ISSN 0028-0836, 08/2013, Volume 500, Issue 7461, pp. 141 - 142
GENOMIC RESEARCH | MULTIDISCIPLINARY SCIENCES | IDENTIFIABILITY
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