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Ordinary Differential Equations

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Computational Toxicology

Part of the book series: Methods in Molecular Biology ((MIMB,volume 930))

Abstract

In this chapter we provide an overview of the basic theory of ordinary differential equations (ODE). We give the basics of analytical methods for their solutions and also review numerical methods. The chapter should serve as a primer for the basic application of ODEs and systems of ODEs in practice. As an example, we work out the equations arising in Michaelis–Menten kinetics and give a short introduction to using Matlab for their numerical solution.

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References

  1. Berg PW, McGregor JL (1966) Elementary partial differential equations. Holden-Day, San Francisco, CA

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Wisconsin-Madison, Madison, WI, USA

    Jiří Lebl

Authors
  1. Jiří Lebl
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Correspondence to Jiří Lebl .

Editor information

Editors and Affiliations

  1. School of Biomedical Engineering, Chemical & Biological Engineering, Colorado State University, Campus Delivery 1370, Fort Collins, 80523-1370, Colorado, USA

    Brad Reisfeld

  2. , Chemical & Biological Engineering, Colorado State University, Campus Delivery 1370, Fort Collins, 80523-1370, Colorado, USA

    Arthur N. Mayeno

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Lebl, J. (2013). Ordinary Differential Equations. In: Reisfeld, B., Mayeno, A. (eds) Computational Toxicology. Methods in Molecular Biology, vol 930. Humana Press, Totowa, NJ. https://doi.org/10.1007/978-1-62703-059-5_20

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  • DOI: https://doi.org/10.1007/978-1-62703-059-5_20

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  • Publisher Name: Humana Press, Totowa, NJ

  • Print ISBN: 978-1-62703-058-8

  • Online ISBN: 978-1-62703-059-5

  • eBook Packages: Springer Protocols

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