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Table 1.

Deconstructing the experiment of Krishnasamy et al. [14] to determine the effects of K+ and Na+ into the actual ion levels.

The experiment varied three ions K+, Na+, and Cl-. The effects of K+ and Na+ are confounded with those of Cl-.

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Table 2.

Ionic compositions of the “soil solution equivalent” (SSE) and ARS-Media for Excel formulation and how each compares to the ion levels of the target soil solution.

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Table 2 Expand

Fig 1.

Nonembryogenic citrus cell line of Valencia sweet orange.

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Table 3.

The five unique formulations that comprised the experiment.

The experiment was free of ion confounding because only the target ions Na+ and K+ were varied. All other ions in MS medium were held constant.

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Table 4.

Recipes generated by ARS-Media for Excel for the 5 media listed in Table 2.

In addition to the salts listed, all recipes included the MS salts that deliver Fe3+, Mn2+, Zn2+, BO33-, I-, Cu2+, MoO42-, and Co2+ as follows: FeSO4.7H2O, Na2EDTA.2H2O, MnSO4.4H2O, ZnSO4.4H2O, H3BO3, KI, CuSO4.5H2O, Na2MoO4.2H2O, and CoCl2.6H2O. These salts did not vary between formulations.

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Table 5.

Treatment design points and fresh weight growth data of a 2-component quadratic mixture design.

The proportions of K+ and Na+ were varied while the total amount was kept constant at 23.2 mM, the level in MS medium. For example, treatment point #1 would include 17.4 mM Na+ and 5.8 mM K+.

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Table 6.

Recipe generated by ARS-Media for Excel to recreate the soil solution ion composition of Angle et al. [4].

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Table 7.

ANOVA of the effect of K+ and Na+ on fresh weight growth of citrus nonembryogenic cells.

The coefficients for K+ and Na+ under the linear mixture are estimates of the response at each vertex, not estimates of the effects of these two ions. The K+ x Na+ term is not an interaction term, though it looks like one, but a quadratic blending term unique to mixture models. This term is used to determine if the mixture components exhibit nonlinear blending and if that blending is synergistic or antagonistic.

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Fig 2.

Response plot of the effect of the 2-component K+ and Na+ mixture on % increase in fresh weight of Valencia sweet orange nonembryogenic callus.

The significant linear component, depicted by the dotted line, is the estimated response at each vertex (251% and 1011%), and the significant quadratic component indicates nonlinear blending or that the response deviates (above) from what would be predicted by the linear component. However, the graphic reveals a sharp reduction in fresh weight at 0 mM K+ / 23.2 mM Na+ and essentially a flat relationship between 5.9 mM K+ / 17.3 mM Na+ to 23 mM K+ / 0.2 Na+. This indicates a threshold where Na+ cannot completely substitute for K+.

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