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Abstract

This chapter is a discussion of how some foreign substances get into the body, how they become distributed, what their effects are and how they are eliminated from the body. Lead is the exemplar in the biological discussion, but the biological concepts can be applied to many other substances. The mathematical discussion focuses on lead poisoning and on pharmaceuticals.

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References and Suggested Further Reading

  1. Lead poisoning: Ulrich Ewers and Hans-Werner Schlipkoter, “Lead,” pp. 971– 1014, in Metals and Their Compounds in the Environment, ed. Ernest Merian, VCH Publishers, Inc. New York, 1991.

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  7. Biological organ systems: Eldra Pearl Solomon, Linda R. Berg, Diana W. Martin and Claude Villee, BioloRy, 3rd ed., Saunders Colle2e Publishino. Fort Worth, 1991

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  8. Diffusion distances in cells: David Dusenbery, Sensory Ecology, Chapter 4, W. H. Freeman and Co., San Francisco, 1992.

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  9. Resistance to fluid flow: Steven Vogel, Life in Moving Fluids: The Physical Biology of Flow, Princeton University Press, Princeton, NJ, pp. 165–169, 1989.

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  10. Exponential of a matrix: “Nineteen dubious ways to compute the exponential of a matrix,” Moler and Van Loan, SIAM Review 20, no. 4, 1978.

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  12. Computer modeling: Robert L. Borrelli, Courtney S. Coleman, William E. Boyce, Differential Equations Laboratory Workbook, John Wiley & Sons, Inc., New York, 1992.

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  13. Pharmacokinetics: Edward Spitznagel, Two-Compartment Pharmacokinetic Mod els C-ODE-E, Fall, 1992 (published by Harvey Mudd College, Claremont, CA).

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© 1996 Springer Science+Business Media New York

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Yeargers, E.K., Shonkwiler, R.W., Herod, J.V. (1996). The Biological Disposition of Drugs and Inorganic Toxins. In: An Introduction to the Mathematics of Biology: with Computer Algebra Models. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-1095-3_7

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  • DOI: https://doi.org/10.1007/978-1-4757-1095-3_7

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4757-1097-7

  • Online ISBN: 978-1-4757-1095-3

  • eBook Packages: Springer Book Archive

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