Lundgren, Tucker

Radulescu, Anca R

English

VCU Scholars Compass

Virginia Commonwealth University VCU Scholars Compass Biology and Medicine Through Mathematics Conference A pharmacokinetic model of lead-calcium interactions Anca R. Radulescu State University of New York at New Paltz, radulesa@newpaltz.edu Tucker Lundgren lundgres2@hawkmail.newpaltz.edu Follow this and additional works at: https://scholarscompass.vcu.edu/bamm  Part of the Life Sciences Commons, Medicine and Health Sciences Commons, and the Physical Sciences and Mathematics Commons https://scholarscompass.vcu.edu/bamm/2020/talk/20 This Event is brought to you for free and open access by the Dept. of Mathematics and Applied Mathematics at VCU Scholars Compass. It has been accepted for inclusion in Biology and Medicine Through Mathematics Conference by an authorized administrator of VCU Scholars Compass. For more information, please contact libcompass@vcu.edu. A pharmacokinetic model of lead-calcium interactionsAnca Raˇdulescu, SUNY New Paltz, radulesa@newpaltz.eduTucker Lundgren, SUNY New Paltz, lundgres2@hawkmail.newpaltz.eduLead is a naturally-occurring element. It has been known to man for a long time, and it is one of the longest establishedpoisons. The current consensus is that no level of lead exposure should be deemed “safe.” New evidence regardingthe blood levels at which morbidities occur has prompted the CDC to reduce the screening guideline of 10 µg/dl to 2µg/dl. Measurable cognitive decline (reduced IQ, academic deficits) have been found to occur at levels below 10mg/dl.Knowledge of lead pharmacology allows us to better understand its absorption and metabolization, mechanisms thatproduce its medical consequences. Based upon an original and very simplified compartmental model of RabinowitzFig: Bifurcation diagram showing the dependence of brain lead and calcium steadystates on lead intake, for various efficiency modes of the blood brain barrier.(1973) with only three major com-partments (blood, bone and softtissue), extensive biophysical mod-els sprouted over the following twodecades. However, none of these mod-els have been specifically designed touse new knowledge of lead moleculardynamics to understand its deleteri-ous effects on the brain. We build andanalyze a compartmental model oflead pharmacokinetics, focused specif-ically on addressing neurotoxicity. Weuse traditional phase space methods,parameter sensitivity analysis and bifurcation theory to study the transitions in the system’s behavior in response tovarious physiological parameters.We conclude that modeling the complex interaction of lead and calcium along their dynamic trajectory may suc-cessfully explain counter-intuitive effects on systemic function and neural behavior which could not be addressed byexisting linear models. Our results encourage further efforts towards using nonlinear phenomenology in conjunctionwith empirically driven system parameters, to obtain a biophysical model able to provide clinical assessments andpredictions.1

A pharmacokinetic model of lead-calcium interactions

https://scholarscompass.vcu.edu/cgi/viewcontent.cgi?article=1394&amp;context=bamm

A pharmacokinetic model of lead-calcium interactions

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