Water Flow Across the Sieve-Tube Boundary: Estimating Turgor and Some Implications For Phloem Loading and Unloading. I. Theory

A mathematical model of water and sucrose transport across thesieve tube boundary is presented, based on conservation of matterand the phenomenological equations for plasmodesmatal transportbetween the sieve elements and their associated cells. Plasmodesmataltransport coefficients are discussed. In parts II–IV,the equations developed here are used to assess: (i) the estimationof phloem turgor gradients from osmotic pressure gradients;(ii) plasmodesmatal transport of water and sucrose between thesieve elements and adjacent cells; and (iii) the plausibilityof symplastic and apoplastic phloem loading and unloading insome primary sources and sinks. A list of symbols is given inAppendix 1 of this paper Phloem, turgor, osmotic pressure, loading, unloading, plasmodesmata, Munch hypothesis