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.

  • Letter
  • Published:

Quantal Responses to Mixtures of Drugs

Abstract

THE joint action of two drugs can be termed ‘non-interactive’ if, when applied together, neither modifies the physiological action of the other that leads to the response under consideration1. We have previously formulated the relation between dose and quantal response for the extreme forms of this type of joint action, namely, simple similar action1, in which the drugs act on the same physiological system, and independent action1,2, in which they act on different systems. The relation for independent action allowed different degrees of correlation of the tolerances for the respective drugs ; but the relation for simple similar action allowed only their complete positive correlation. We have now extended this work, first to cover types of non-interactive joint action intermediate between the extreme forms, and secondly, to permit any degree of correlation of tolerances for every form of non-interactive joint action. Since interactive joint action can be formulated as a generalization of non-interactive1, the whole theory of quantal responses to mixtures of drugs is thereby unified.

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

Similar content being viewed by others

References

  1. Plackett, R. L., and Hewlett, P. S., J. Roy. Statist. Soc., Ser. B. 14, 141 (1952).

    Google Scholar 

  2. Plackett, R. L., and Hewlett, P. S., Ann. App. Biol., 35, 347 (1948).

    Article  CAS  Google Scholar 

  3. Turner, N., Connecticut Agric. Exp. Sta. Bull. No. 594 (1955).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

HEWLETT, P., PLACKETT, R. Quantal Responses to Mixtures of Drugs. Nature 180, 712–713 (1957). https://doi.org/10.1038/180712a0

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1038/180712a0

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