Plant Physiol. Drug Metab Dispos
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Plant Physiology 63:1-4 (1979)
© 1979 American Society of Plant Biologists

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Mathematical Analysis of the Dependence of Cell Potential on External Potassium in Corn Roots 1

John M. Cheeseman and John B. Hanson

a Department of Botany, University of Illinois, Urbana, Illinois 61801

The K+ dependence of normal ({psi}) and diffusion ({psi}D) potentials in corn roots [Zea mays L., hybrid (A619 x Oh43) x A632] was determined experimentally and analyzed with respect to the parameter {xi} [defined as exp (F {psi}/RT)]. In the presence of 10 micromolar carbonyl cyanide p-trifluoromethoxyphenylhydrazone (FCCP), {psi} behaved as expected of a diffusion potential. Based upon the assumptions (a) that FCCP did not change any term of the Goldman-Hodgkin-Katz equation, and (b) that total potential was functionally the algebraic sum of {psi}D and {psi}P (the deviation from {psi}D due to an electrogenic system), {psi}P was found to be a complex function of external potassium and to have a minimum value of 0.69 millimolar K ion activity outside the cell. Analysis of {psi} allowed us to develop an equation which predicts a complicated K+ dependence of {psi} such as that found by Mertz and Higinbotham (Membrane Transport in Plants and Plant Organelles. Springer-Verlag 1974).

1 Supported by Grant NSF PCM 76-80886 from the National Science Foundation and EY 76-S-02-0790 from the United States Department of Energy.




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M. W. Szczerba, D. T. Britto, and H. J. Kronzucker
The face value of ion fluxes: the challenge of determining influx in the low-affinity transport range
J. Exp. Bot., September 1, 2006; 57(12): 3293 - 3300.
[Abstract] [Full Text] [PDF]


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