Spatial effects in modeling pharmacokinetics of rapid action drugs |
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| Authors: | Lafrance Patrick Lemaire Vincent Varin France Donati François Bélair Jacques Nekka Fahima |
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| Institution: | (1) Département de mathématiques et de statistique, Université de Montréal, C.P. 6128, succursale centre-ville, Montréal, Québec, H3C 3J7, Canada;(2) Centre de recherches mathématiques, Université de Montréal, Canada;(3) Département de physique, Université de Montréal, Canada;(4) Faculté de pharmacie, Université de Montréal, Canada;(5) Département d’anesthésiologie, Université de Montréal, Canada;(6) Institut de génie biomédical, Université de Montréal, Canada;(7) Centre for Nonlinear Dynamics in Physiology and Medicine, McGill University, Montréal, Québec, Canada |
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| Abstract: | We develop a model to describe the time course of plasma concentration of neuromuscular blocking agents used as anesthetics
during surgery. This model, which overcomes the limitations of the classical compartment models routinely used in pharmacokinetics,
incorporates spatial effects due to heterogeneity in the circulation: it takes the form of a dispersion equation on a circular
domain, with a time-dependent leakage term. This term is fitted to the functional form desired once first-stage transients
have died out. Comparisons are made with clinical data by adjusting three parameters in the model. |
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