Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Article
  • Published:

Birth–Death and other Models for Microbial Infection

This is a preview of subscription content, access via your institution

Access options

Buy this article

Prices may be subject to local taxes which are calculated during checkout

References

  1. Shortley, G., and Wilkins, J. R., Bact. Rev., 29, 102 (1965).

    CAS  PubMed  Google Scholar 

  2. Halvorson, H. O., J. Bact., 30, 330 (1935).

    Google Scholar 

  3. Trevan, J. W., Proc. Roy. Soc., B, 101, 483 (1927).

    CAS  ADS  Google Scholar 

  4. Meynell, G. G., and Stocker, B. A. D., J. Gen. Microbiol., 16, 38 (1957).

    Article  CAS  Google Scholar 

  5. Meynell, G. G., Symp. Soc. Gen. Microbiol., 11, 174 (1961).

    Google Scholar 

  6. Meynell, G. G., J. Gen. Microbiol., 16, 396 (1957).

    Article  CAS  Google Scholar 

  7. Dannenberg, A. M., and Scott, E. M., Proc. Soc. Exp. Biol. and Med., 92, 571 (1956). J. Immunol., 84, 233 (1960).

    Article  Google Scholar 

  8. Meynell, G. G., Nature, 198, 970 (1963).

    Article  CAS  ADS  Google Scholar 

  9. Barucha-Reid, A. T., Elements of the Theory of Markov Processes and their Applications, (New York: McGraw-Hill).

  10. Kendall, D. G., J. Roy. Statist. Soc., B, 11, 230 (1949).

    Google Scholar 

  11. Meynell, G. G., Biometrics, 13, 149 (1957).

    Article  Google Scholar 

  12. Meynell, G. G., and Meynell, E. W., J. Hyg. (Camb.), 56, 323 (1958).

    Article  CAS  Google Scholar 

  13. Taylor, R. M., J. Exp. Med., 73, 43 (1941). Horsfall, F. L., and Ginsberg, H. S., J. Exp. Med., 93, 139 (1951). Hobson, D., J. Path. Bact., 73, 399 (1957). Dolby, J. M., Thow, D. C. W., and Standfast, A. F. B., J. Hyg. (Camb.), 59, 191 (1961). Eigelsbach, H. T., Tulis, J. J., McGavram, M. H., and White, J. D., J. Bact., 84, 1020 (1962). Walker, D. L., Foster, L. E., Chen, T. H., Larson, A., and Meyer, K. F., J. Immunol., 70, 245 (1953). Gray, J. E., Wilkins, J. R., Prestrud, M. C., and Nikitas, C. T., J. Infect. Dis., 101, 137 (1957). Yamamura, Y., Walter, A., and Bloch, H., J. Infect. Dis., 106, 211 (1960).

    Article  CAS  Google Scholar 

  14. Williams, T., Biometrics, 18, 627 (1962); J. Roy. Statist. Soc., B (in the press).

    Article  Google Scholar 

  15. Williams, T., D.Sc. dissertation, School of Hygiene and Public Health, Johns Hopkins University, Baltimore (1963).

  16. Iwaszkiewicz, K., and Neyman, J., Acta Biologiae Experimentalis, Varsovie, 6, 101 (1931).

    Google Scholar 

  17. Kunkel, L. O., Phytopath., 24, 13 (1934).

    Google Scholar 

  18. Goldberg, L. J., Watkins, H. M. S., Dolmatz, M. S., and Schlamm, N. A., J. Infect. Dis., 94, 9 (1954).

    Article  CAS  Google Scholar 

  19. Plus, N., Bull. Biol., 88, 248 (1954). Standfast, A. F. B., and Dolby, J. M., J. Hyg. (Camb.), 59, 217 (1961).

    Google Scholar 

  20. Lauffer, M. A., and Price, W. C., Arch. Biochem., 8, 449 (1945). Liu, O. C., and Henle, W., J. Exp. Med., 97, 889 (1953).

    CAS  PubMed  Google Scholar 

  21. Gorrill, R. H., Brit. J. Exp. Path., 39, 203 (1958).

    CAS  PubMed  Google Scholar 

  22. Meynell, G. G., J. Gen. Microbiol., 21, 421 (1959).

    Article  Google Scholar 

  23. Armitage, P., and Spicer, C. C., J. Hyg. (Camb.), 54, 401 (1956).

    Article  CAS  Google Scholar 

  24. Armitage, P., J. Nat. Cancer Inst., 23, 1313 (1959).

    CAS  PubMed  Google Scholar 

  25. Cavalli, L., and Magni, G., Z. Bakt., Abt. 1, Orig., 150, 353 (1943).

    Google Scholar 

  26. Hoyt, A., Moore, F. J., and Thompson, M. A., Amer. Rev. Resp. Dis., 86, 733 (1962).

    CAS  PubMed  Google Scholar 

  27. Beard, J. W., Sharp, D. G., and Eckert, E. A., Adv. Virus Res., 3, 149 (1955).

    Article  CAS  Google Scholar 

  28. Eckert, E. A., Beard, D., and Beard, J. W., J. Nat. Cancer Inst., 16, 1099 (1956).

    CAS  PubMed  Google Scholar 

  29. Cavalli, L. L., and Magni, G., Heredity, 1, 127 (1947).

    Article  Google Scholar 

  30. Druett, H. A., Robinson, J. M., Henderson, D. W., Packman, L., and Peacock, S., J. Hyg (Camb.), 54, 37 (1956).

    Article  CAS  Google Scholar 

  31. Roth, N. G., DeArmon, I. A., and Lively, D. H., J. Bact., 72, 666 (1956).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

ARMITAGE, P., MEYNELL, G. & WILLIAMS, T. Birth–Death and other Models for Microbial Infection. Nature 207, 570–572 (1965). https://doi.org/10.1038/207570a0

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1038/207570a0

This article is cited by

Comments

By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing