Time-dependent Behavior of a Mathematical Model for Munch Translocation: Application to Recovery from Cold Inhibition

The time evolution of a Munch pressure-flow translocation system is calculated using a numerical computer method. Results are obtained for the time course of the system variables following application of a large resistance in the translocation path, intended to simulate a cold block. The resistance factor required to produce translocation inhibition indicates that even moderate inhibition is primarily due to sieve plate pore block-age, rather than to the viscosity increase. The calculated time for recovery from cold inhibition and the shape of the translocation recovery curve agree with experimental results. The time for translocation recovery and the level of velocity recovery depend on the rate of sucrose unloading in the sink; on the sucrose concentration in the sieve tube; on the position, length, and resistance factor of the cold block; and on the hydraulic conductivities.