Some Simplified Mathematical Treatments of Translocation in Plants.

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Abstract
Models to explain the short term translocation patterns of radioisotopes are analyzed mathematically: (1) "en masse" flow through a pipe with irreversible loss of translocate to surrounding tissue; (2) the same except loss is reversible; (3) like (1) except approach to the steady state is also considered; (4) osmotic pressure flow; (5) cyclosis-diffusion; (6) surface flow. Models (1) and (3) predict certain experimental results well. Models (2) and (6) do not. In model (4) one, in general, should expect both a velocity and a hydrostatic pressure gradient in the phloem. From model (5) one can estimate how much cyclosis speeds up transport, and its predictions about distribution are close to certain experimental results.