Linear n-compartment catenary models: Formulas to describe tracer amount in any compartment and identification of parameters from a concentration- time curve
type: Item
instance of: scholarly article
title: Linear n-compartment catenary models: Formulas to describe tracer amount in any compartment and identification of parameters from a concentration- time curve
zbMATH Open document ID: 0573.93008
DOI: 10.1016/0025-5564(85)90004-5
author: Nguyen Phong Chau
published in: Mathematical Biosciences
publication date: 1985-01-01T00:00:00Z
review text: Resolution of kinetic equations and parameter identification are discussed for n-compartment linear catenary models with elimination allowed from any compartment. For a given input, general formulas are derived to describe the tracer amount in any compartment as a function of the model parameters. Conversely, explicit procedures are given to identify the model parameters when the concentration-time curve is known in one arbitrary compartment, the tracer being injected into the same compartment. In this inverse problem, the solution is not unique: the model transfer rate constants can only be localized in a finite set of intervals.
Mathematics Subject Classification ID: 93B30
Mathematics Subject Classification ID: 92Cxx
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 34A55
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 3916095
zbMATH Keywords: Resolution of kinetic equations
zbMATH Keywords: parameter identification
zbMATH Keywords: n-compartment linear catenary models
zbMATH Keywords: concentration-time curve
zbMATH Keywords: tracer
MaRDI profile type: Publication
full work available at URL: 0025-5564(85)90004-5
OpenAlex ID: W2043620606
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description: scientific article; zbMATH DE number 3916095