A parameter identification problem arising from a model of canalicular bile formation.
J Math Biol
; 31(3): 273-89, 1993.
Article
em En
| MEDLINE
| ID: mdl-8468537
ABSTRACT
We develop a simple mathematical model for bile formation and analyze some features of the model that suggest the design for future physiological experiments. The mathematical model results in a boundary value problem for a system of functional differential equations depending on several physical parameters. From the observability of the boundary values we can identify, both qualitatively and quantitatively, some of these physical parameters. This identification then suggests physical experiments from which one could infer some of the bile transport phenomena that are not, at present, directly observable. The mathematical parameter identification problem is solved by converting the boundary value problem to a transition time problem for a quadratic system of ordinary differential equations on the plane where we are able to employ some special properties of quadratic systems in order to obtain a solution.
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Coleções:
01-internacional
Base de dados:
MEDLINE
Assunto principal:
Bile
/
Canalículos Biliares
/
Matemática
/
Modelos Biológicos
Tipo de estudo:
Diagnostic_studies
Limite:
Animals
/
Humans
Idioma:
En
Revista:
J Math Biol
Ano de publicação:
1993
Tipo de documento:
Article