Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-30T19:39:11.540Z Has data issue: false hasContentIssue false
  • English
  • Français

Physiological Interaction, Its Mathematical Expression

Published online by Cambridge University Press:  12 June 2017

Robert E. Drury
Get access Rights & Permissions [Opens in a new window]

Abstract

The concept of interaction arises in the context of continuous functions. Verbally, it is the action of one independent variable on the action of another, and vice versa, on a dependent variable. Quantitatively, it is the second partial derivative of a function with respect to two independent variables. Misconceptions have arisen from attempts to understand action and interaction in discrete terms. The algebraic expressions for the actions of diuron and phorate on the fresh weight of oats and their interaction were determined from the regression polynomial and plotted in three-dimensional graphs. Three other mutually incompatible methods of assessing interaction, namely, the Colby (with its modification, regression estimate), the two-parameter, and the topographical methods were evaluated.

Keywords

Avena sativa L.diuronphorate
Type
Research Article
Information
Weed Science , Volume 28 , Issue 5 , September 1980 , pp. 573 - 579
Copyright
Copyright © Weed Science Society of America 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Literature Cited

1. Akobundu, I. O., Sweet, R. D., and Duke, W. B. 1975. A method of evaluating herbicide combinations and determining herbicide synergism. Weed Sci. 23:20–25.CrossRefGoogle Scholar
2. Behrand, J. and Mateles, R. I. 1975. Nitrogen metabolism in plant cell suspensions cultures. I. Effect of amino acids on growth. Plant Physiol. 56:584–589.CrossRefGoogle Scholar
3. Colby, S. R. 1967. Calculating synergistic and antagonistic responses of herbicide combinatons. Weeds 15:20–22.CrossRefGoogle Scholar
4. Drury, R. E. 1971. Plant Physiology in Wonderland and the Discovery of Calculus. W. F. Humphrey Press Inc., Geneva, New York. 14 pp.Google Scholar
5. Drury, R. E. 1972. Understanding plant physiology and other branches of mathematics. NY Agric. Exp. Stn., Geneva, Search 2:#2. 3 pp.Google Scholar
6. Drury, R. E. 1973. Continuous functions in seed hormone physiology. Plant Sci. Lett. 1:309–314.Google Scholar
7. Gentner, W. A., Danielson, L. L., and Campbell, T. A. 1976. Evaluations of interactions of combinations of chloramben and diphenamid. Weed Sci. Soc. Am. Abstr. No. 257.Google Scholar
8. Gowing, D. P. 1960. Comments on tests of herbicide mixtures. Weeds 8:379–391.Google Scholar
9. Katz, A., Dehan, K., and Itai, C. 1978. Kinetin reversal of NaCl effects. Plant Physiol. 62:836–837.CrossRefGoogle ScholarPubMed
10. Khan, A. A. 1971. Cytokinins: Permissive role in seed germination. Science 171:853–859.Google Scholar
11. Khan, A. A. 1975. Primary, preventive and permissive roles of hormones in plant systems. Bot. Rev. 41:391–420.CrossRefGoogle Scholar
12. MacDonald, I. R., Macklon, A. E. S., and Macleod, R. W. G. 1975. Energy supply and light-enhanced chloride uptake in wheat laminae. Plant Physiol. 56:699–702.Google Scholar
13. Mondal, M. H. 1975. Effects of gibberellic acid, calcium, kinetin, and ethylene on growth and cell wall composition of pea epicotyls. Plant Physiol. 56:622–625.Google Scholar
14. Morse, P. M. 1978. Some comments on the assessment of joint action in herbicide mixtures. Weed Sci. 26:58–71.CrossRefGoogle Scholar
15. Nash, R. G. 1976. Phytotoxic interactions: Techniques for evaluation and presentation. Weed Sci. Soc. Am. Abstr. No. 254.Google Scholar
16. Nash, R. G. and Jansen, L. L. 1973. Determining phytotoxic pesticide interactions in soil. J. Environ. Qual. 2:503–510.Google Scholar
17. Rao, S. S., Sankla, N., and Khan, A. A. 1975. Additive and synergistic effects of kinetin and ethrel on germination, thermodormancy, and polyribosome formation in lettuce seeds. Plant Physiol. 56:263–266.CrossRefGoogle Scholar
18. Rummens, F. H. A. 1975. An improved definition of synergistic and antagonistic effects. Weed Sci. 23:4–6.CrossRefGoogle Scholar
19. Shibaoka, H. and Thimann, K. V. 1970. Antagonism between kinetin and amino acids: Experiments on the mode of action of cytokinins. Plant Physiol. 46:212–220.Google Scholar
20. Steel, R. C. D. and Torrie, J. H. 1960. Principles and Procedures of Statistics. McGraw-Hill, New York. 481 pp.Google Scholar
21. Stewart, G. R. 1969. Abscisic acid and morphogenesis in Lemma polyrhiza L. Nature (London) 221:61–62.Google Scholar
22. Tattersall, M. H. N., Jackson, R. C., Connors, T. A., and Harrap, K. R. 1973. Combination chemotherapy: The interaction of methotrexate and 5-fluorouracil. Eur. J. Cancer 9:733–739.Google Scholar