On incorporating diffusion and viscosity concepts into compartmental models for analysing faecal marker excretion patterns in ruminants

Deterministic mathematical equations are derived to describe the pattern of marker excretion in the faeces of ruminants under steady-state conditions when diffusion and viscosity concepts are introduced into a simple two-compartment scheme of the gastrointestinal tract. The basic scheme comprises a...

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Bibliographic Details
Published in:British journal of nutrition 1993-07, Vol.70 (1), p.369-378
Main Authors: France, J., Thornley, J. H. M., Siddons, R. C., Dhanoa, M. S.
Format: Article
Language:English
Subjects:
Animals
Compartmental models
Diffusion
Digestive System - metabolism
equations
excretion
Faecal marker excretion patterns
feces
Feces - chemistry
Isotope Labeling
markers
Mathematics
Modelling of Intestinal Flows
Models, Biological
Rheology
Ruminants
Ruminants - metabolism
Viscosity
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Summary:Deterministic mathematical equations are derived to describe the pattern of marker excretion in the faeces of ruminants under steady-state conditions when diffusion and viscosity concepts are introduced into a simple two-compartment scheme of the gastrointestinal tract. The basic scheme comprises a pure-mixing pool obeying first-order kinetics and a second compartment exhibiting streamline flow. Introduction of a velocity gradient, longitudinal diffusion or both into the second compartment, even with various simplifying assumptions, yields analytically insoluble equations. The impact of these mechanisms is to be investigated numerically rather than analytically in future work.
ISSN:0007-1145
1475-2662
DOI:10.1079/BJN19930129