Abstract. Lead is a toxin that has well known side effects including fatigue, muscle pain, impaired kidney function, lower IQs for children, and brittle bones. Lead can be absorbed into the body through paint, air, water, and various other consumer products. Once ingested, blood transports lead throughout the body. The vast majority of lead absorbed in the body accumulates in the bone. Here we explore a three-compartment nonlinear ODE model for lead in blood, cortical bone, and trabecular bone. Thereafter, we compare the ODE results with a PDE model in which it is assumed that lead slowly diffuses through the bone. Numerical solutions of the model ODE equations suggest that in order to have results which are consistent with experimental data, one should assume nonlinear interactions between the blood and cortical bone, but linear interactions between the blood and trabecular bone. On the other hand, we find that the PDE model we use does not provide for a good comparison with the data. We briefly touch upon some possible reasons for this discrepancy, and ways in which the model could be improved.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
customersupport@researchsolutions.com
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.