Osmotic water permeability of plasma and vacuolar membranes in protoplasts II: theoretical basis.

Water permeability of the plasma membrane (PM) and the vacuolar membrane (VM) is important for intracellular and transcellular water movement in plants, because mature plant cells have large central vacuoles. We have developed a new method for measuring the osmotic water permeability of the PM and VM (P ( f1) and P ( f2), respectively) in individual plant cells. Here, the theoretical basis and procedure of the method are discussed. Protoplasts isolated from higher plant tissues are used to measure P ( f1) and P ( f2). Because of the semi-permeability (selective permeability) of cellular membranes, protoplasts swell or shrink under hypotonic or hypertonic conditions. A theoretical three-compartment model is presented for simulating time-dependent volume changes in the vacuolar and cytoplasmic spaces in a protoplast during osmotic excursions. The model describes the theoretical relationships between P ( f1), P ( f2) and the bulk osmotic water permeability of protoplasts (P ( f(bulk))). The procedure for measuring the osmotic water permeability is: (1) P ( f(bulk)) is calculated from the time when half of the total change in protoplast volume is completed, by assuming that the protoplast has a single barrier to water movement across it (two-compartment model); (2) P ( f2) of vacuoles isolated from protoplasts is obtained in the same manner; and (3) P ( f1) is determined from P ( f(bulk)) and P ( f2) according to the three-compartment model. The theoretical relationship between P ( fl ) (m s(-1)) and L ( Pl ) (hydraulic conductivity, l=1, 2) (m s(-1) Pa(-1)) is also discussed.