Urban Lead: Modeling Its Distribution and Effects on Children

We model the transportation of lead from the atmosphere and from the surface of the soil simultaneously at the macroscale and mesoscale to study its health effects on children in Jersey City, NJ. We conceptualize Jersey City as an open system where lead is continuously emitted from a local smelting...

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Main Authors: Zhixiong Chen, Yi Ding, Andrew Getz, Bernard Lipat
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2017/6107430
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author Zhixiong Chen
Yi Ding
Andrew Getz
Bernard Lipat
author_facet Zhixiong Chen
Yi Ding
Andrew Getz
Bernard Lipat
author_sort Zhixiong Chen
collection DOAJ
description We model the transportation of lead from the atmosphere and from the surface of the soil simultaneously at the macroscale and mesoscale to study its health effects on children in Jersey City, NJ. We conceptualize Jersey City as an open system where lead is continuously emitted from a local smelting plant and a local power plant, deposited onto the surface soil of playgrounds, and ingested by children. The model is constructed using the diffusion-advection partial differential equation in three spatial dimensions and one temporal dimension with an initial condition and boundary conditions. The model is solved using the Crank-Nicolson numerical method at the macroscale to determine the deposition of lead from the smelting plant and the local power plant and at the mesoscale to refine the amount of lead deposition for the areas considered. We then determine the health consequences for the average child using the bioaccessibility of lead from soil to children, the bioavailability of ingested lead to the circulatory system, and the biological half-life of lead isotopes in the blood. The health effects on children from lead are directly proportional to the blood lead concentration.
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spelling doaj-art-98f9c7a4264c4cd0aab0a62cab9c67f52025-02-03T01:25:05ZengWileyJournal of Applied Mathematics1110-757X1687-00422017-01-01201710.1155/2017/61074306107430Urban Lead: Modeling Its Distribution and Effects on ChildrenZhixiong Chen0Yi Ding1Andrew Getz2Bernard Lipat3Department of Mathematics, New Jersey City University, Jersey City, NJ 07305-1597, USADepartment of Mathematics, New Jersey City University, Jersey City, NJ 07305-1597, USADepartment of Mathematics, New Jersey City University, Jersey City, NJ 07305-1597, USAApplied Physics and Applied Mathematics Department, Columbia University, New York, NY 10027, USAWe model the transportation of lead from the atmosphere and from the surface of the soil simultaneously at the macroscale and mesoscale to study its health effects on children in Jersey City, NJ. We conceptualize Jersey City as an open system where lead is continuously emitted from a local smelting plant and a local power plant, deposited onto the surface soil of playgrounds, and ingested by children. The model is constructed using the diffusion-advection partial differential equation in three spatial dimensions and one temporal dimension with an initial condition and boundary conditions. The model is solved using the Crank-Nicolson numerical method at the macroscale to determine the deposition of lead from the smelting plant and the local power plant and at the mesoscale to refine the amount of lead deposition for the areas considered. We then determine the health consequences for the average child using the bioaccessibility of lead from soil to children, the bioavailability of ingested lead to the circulatory system, and the biological half-life of lead isotopes in the blood. The health effects on children from lead are directly proportional to the blood lead concentration.http://dx.doi.org/10.1155/2017/6107430
spellingShingle Zhixiong Chen
Yi Ding
Andrew Getz
Bernard Lipat
Urban Lead: Modeling Its Distribution and Effects on Children
Journal of Applied Mathematics
title Urban Lead: Modeling Its Distribution and Effects on Children
title_full Urban Lead: Modeling Its Distribution and Effects on Children
title_fullStr Urban Lead: Modeling Its Distribution and Effects on Children
title_full_unstemmed Urban Lead: Modeling Its Distribution and Effects on Children
title_short Urban Lead: Modeling Its Distribution and Effects on Children
title_sort urban lead modeling its distribution and effects on children
url http://dx.doi.org/10.1155/2017/6107430
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