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Bateman function

Equation expressing the build up and decay in concentration of a substance (usually in plasma) based on first order uptake and elimination in a one compartment model, having the form

C = (ƒDκa/V(κa - κe))(exp(-κet) - exp(-κat))

where C is the concentration and D the dose of the substance, ƒ the fraction absorbed, and V the volume of distribution. κa and κe are the first order rate constants of uptake and elimination, respectively, and t is time.

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  • Walter Lane
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