Inheritance

  • Frank C. Hoppensteadt
  • Charles S. Peskin
Part of the Texts in Applied Mathematics book series (TAM, volume 10)

Abstract

Genetics is the study of heredity and variation among organisms. The initial breakthroughs in genetics came with observations made by Darwin and Mendel in the 19th century, and mathematics came to play an important role in bringing us to our present-day understanding of genetics. Work in the first half of the 20th century by J.B.S. Haldane, S. Wright, R.A. Fisher, and others put this important area of biology on a firm mathematical base that helped in the design and interpretation of experiments. Many think that genetics still represents the outstanding application of mathematics in the life sciences.

Keywords

Sickle Cell Disease Gene Pool Markov Chain Model Reproduction Time Random Genetic Drift 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Annotated References

  1. 1.
    H.F. Judson, The eighth day of creation, Simon and Shuster, New York, 1979. An interesting review of how the science of genetics developed and is used.Google Scholar
  2. 2.
    J.F. Crow, and M.Kimura, An introduction to population genetics, Harper & Row, New York, 1970. A useful resource in population genetics.Google Scholar
  3. 3.
    W. Feller, An introduction to the theory of probability and its applications, J. Wiley-Interscience, New York, 1966. One of the most important texts in probability. It is a reliable reference for the random sampling processes discussed here.Google Scholar
  4. 4.
    R. Novick, and F. C. Hoppensteadt, On plasmid incompatibility, Plasmid, 1 (1978) 421–434.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • Frank C. Hoppensteadt
    • 1
  • Charles S. Peskin
    • 2
  1. 1.College of Natural ScienceMichigan State UniversityEast LansingUSA
  2. 2.Courant Institute of Mathematical SciencesNew York UniversityNew YorkUSA

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