89 research outputs found
Some mathematical models of cold pill concentration in the body
The motivation for this discussion comes from a set of exercises in Borelli and Coleman\u27s Ordinary Differential Equations: A Modeling Approach. In this particular set of exercises the focus is to model the amount of cold medication (antihistamines and decongestants) in the body. We will consider a two-compartment model with the two components being the GItract and the bloodstream, producing a two-dimensional system of ordinary differential equations. Initially we assume a simple linear model,then we increase the complexity by including a saturation effect in the amount of the drug clearing the bloodstream. We also examine three ways of doing the medication, administering just one dose, continuous dosing, and periodic dosing. Closed-form solutions are determined for the one dose, continuous dosing and non-saturation periodic cases, but only numerical solutions are given for the nonlinear, periodic cases. While we do not find closed-form solutions for the nonlinear, periodic cases we do explore their existence and stability. A software package called ODEArchitectis used to generate the numerical solutions to all the models in this thesis
Growth, body composition and fur quality of farmed minks and polecats on brewers' mash and basal diets
Placental and mammary transfer of a polychlorinated biphenyl mixture (aroclor 1254) in the European Ferret ( Mustela putorius furo
Occurrence of non-ortho-, mono-ortho- and di-ortho-substituted PCB congeners in different organs and tissues of polecats ( Mustela putorius
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