Identifiability of State Space Models

Inhaltsverzeichnis

• 1. Transformation Systems.
• 1.1 Introduction.
• 1.2 Formalism.
• 1.3 An example: nonlinear chemical kinetics.
• 1.4 Specific problems of transformation system modelling.
• 1.5 Conclusion.
• 2. Structural Properties and Main Approaches to Checking Them.
• 2.1 Introduction.
• 2.2 Definitions.
• 2.3 Practical methods for checking structural observability and structural controllability of linear models.
• 2.4 Main approaches to structural identifiability.
• 2.5 Conclusion.
• 3. Local Identifiability.
• 3.1 Introduction.
• 3.2 Methods.
• 3.3 Linear models.
• 3.4 Computer aided design of models.
• 3.5 Implementation for linear transformation systems.
• 3.6 Conclusion.
• 4. Global Identifiability of Linear Models.
• 4.1 Introduction.
• 4.2 Properties of the transition matrix.
• 4.3 Parametrization of the transition matrix.
• 4.4 Application to checking s. g. identifiability.
• 4.5 Conclusion.
• 5. Exhaustive Modelling for Linear Models.
• 5.1 Introduction.
• 5.2 Class of the studied models.
• 5.3 The matrices B and C are known.
• 5.4 The matrices B and C are partially unknown.
• 5.5 Connections with Kalman’s canonical form.
• 5.6 Applications of exhaustive modelling.
• 5.7 Conclusion.
• 6. Examples.
• 6.1 Introduction.
• 6.2 Chemotherapeutic model.
• 6.3 Hepatobiliary kinetics of B. S. P..
• 6.4 Metabolism of iodine.
• 6.5 Systemic distribution of Vincamine.
• 6.6 Conclusion.
• 7. Global Identifiability of Nonlinear Models.
• 7.1 Introduction.
• 7.2 Series expansion approach.
• 7.3 Linearization approach.
• 7.4 Conclusion.
• Conclusion.
• References.