Statistical variability of parameter bounds for n-pool unidentifiable mammillary and catenary compartmental models

DOI10.1016/0025-5564(88)90013-2zbMath0655.92001OpenAlexW2010096949MaRDI QIDQ1109701

Robert Lindell, Elliot M. Landaw, Joseph J. III DiStefano

Publication date: 1988

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(88)90013-2

zbMATH Keywords

Laplace transformMonte Carlo simulationsstructural invariantscoefficient of variationdata-error modelsestimation of parameter boundsinterval identifiable modelsoutput data errorsoutput sensitivity functionsunidentifiable n-pool mammillary and catenary compartmental modelsvariance algorithmvariances of parameter bounds

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) System identification (93B30) Control/observation systems governed by ordinary differential equations (93C15) General biology and biomathematics (92B05) Computational methods for problems pertaining to biology (92-08)

Related Items

A state space transformation can yield identifiable models for tracer kinetic studies with enrichment data, Identifiability and interval identifiability of mammillary and catenary compartmental models with some known rate constants

Cites Work

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• An algorithm for the identifiable parameter combinations of the general mammillary compartmental model
• Complete parameter bounds and quasiidentifiability conditions for a class of unidentifiable linear systems
• Algorithms for the identifiable parameter combinations and parameter bounds of unidentifiable catenary compartmental models
• Analysis of unique structural identifiability via submodels
• Asymptotic Properties of Non-Linear Least Squares Estimators
• Linear Statistical Inference and its Applications