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Nutrient Transport Inside and Outside the Root Rhizosphere: Theory¹

ABSTRACT

The root surface as an absorption mechanism is briefly reviewed and various absorption models are discussed, e.g., the Koshland kinetic and Michaelis-Menten models.

Differences in nutrient availability and transport between the root rhizosphere and bulk soil matrix are examined. The differences manifest themselves in the diffusion coefficients, buffering powers, soil mechanical structure, and nutrient solubility and production. The differences in nutrient transport properties between the rhizosphere and bulk soil matrix are shown to give rise to two coupled partial differential equations. These equations are analytically solved for four sets of boundary conditions. The solutions are used to compute total nutrient uptake by a growing root.

¹ Contribution from the Purdue Agric. Exp. Stn., W. Lafayette, Ind., Journal Paper no. 8789.

² Associate Professor of Soil Physics, Purdue University.

Received for publication November 3, 1981. Accepted for publication March 10, 1982.

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