Skip to main page content
U.S. flag

An official website of the United States government

Dot gov

The .gov means it’s official.
Federal government websites often end in .gov or .mil. Before sharing sensitive information, make sure you’re on a federal government site.

Https

The site is secure.
The https:// ensures that you are connecting to the official website and that any information you provide is encrypted and transmitted securely.

Access keys NCBI Homepage MyNCBI Homepage Main Content Main Navigation
. 2005 Apr;3(2):153-72.
doi: 10.2201/nonlin.003.02.001.

Mathematical modelling of dose-response relationship (hormesis) in allelopathy and its application

Min An  1
Affiliations

Mathematical modelling of dose-response relationship (hormesis) in allelopathy and its application

Min An. Nonlinearity Biol Toxicol Med. 2005 Apr.
No abstract available

PubMed Disclaimer

Figures

FIGURE 1
FIGURE 1
The response of linseed in radicle length to benzylamine (An et al., 1993).
FIGURE 2
FIGURE 2
Effect of castanospermine on root growth of lettuce (An et al., 1993).
FIGURE 3
FIGURE 3
The response of wild oats (A. ludoviciana) in total number emerged to wheat straw leachate (An et al., 1993).
FIGURE 4
FIGURE 4
The response of α-amylase activity to scopolamine (An et al., 1993).
FIGURE 5
FIGURE 5
Olfactory response of weevil larvae to α-terpineol (An et al., 1993).
FIGURE 6
FIGURE 6
Simulated fluctuation of responses of receiver plants to periodic dynamics of allelochemicals in the environment, which is described by the combination of allelochemical—biological response model (An et al., 1993) and the model (An et al., 2003). P is response of test plants to allelochemicals, % control; t is time course of donor plant growth, arbitrary unit (An et al., 2003).
FIGURE 7
FIGURE 7
Simulated periodic production of an allelochemical under constant stress. Ap is allelochemical concentration in plant; t is time course of plant growth, both in arbitrary units. X1, X2, X3 are concentrations at an equilibrium (An et al., 2003).
FIGURE 8
FIGURE 8
Simulating dynamics of residue phytotoxicity. P is phytotoxicity and t is decomposition time, both in arbitrary units (An et al., 1996a).
FIGURE 9
FIGURE 9
Dynamics of allelochemical production from decomposing plant residues. A is amount of allelochemical produced and t is decomposition time, both in arbitrary units (An et al., 1996a).
See this image and copyright information in PMC

References

    1. An M, Johnson I, Lovett J. Mathematical modelling of allelopathy: biological response to allelochemicals and its interpretation. J. Chem. Ecol. 1993;19:2379–2388. - PubMed
    1. An M, Johnson IR, Lovett JV. Mathematical modelling of allelopathy: I. Phytotoxicity of plant residues during decomposition. Allelopathy J. 1996a;3:33–42.
    1. An M, Pratley JE, Haig T. Field application of Vulpia phytotoxicity management: a case study. Proc. 8th Aust. Agronomy Conf., January 1996, Toowoomba, QLD, 616.1996b.
    1. An M, Pratley JE, Haig T. Allelopathy: from concept to reality; Proc. 9th Aust. Agronomy Conf., August 1998, Wagga Wagga, NSW, 563–566.1998.
    1. An M, Johnson IR, Lovett JV. Mathematical modelling of allelopathy: the effects of intrinsic and extrinsic factors on residue phytotoxicity. Plant and Soil. 2002;246:11–22.

LinkOut - more resources