Abstract
Previous attempts to model steady state Münch pressure flow in phloem (Christy and Ferrier. [1973]. Plant Physiol. 52: 531-538; and Ferrier et al. [1974]. Plant Physiol. 54: 589-600) lack sufficient equations, and results were produced which do not represent correct mathematical solutions. Additional equations for the present closed form model were derived by assuming that unloading of a given solute is dependent upon the concentration of that solute in the sieve tube elements. Examples of linear and enzymic type unloading mechanisms are given, although other concentration-dependent mechanisms could be substituted. A method for a numerical solution is outlined, and proof of convergence is presented along with some representative data and the speed of computer calculations. The model provides the minimal set of equations for describing the Münch pressure flow hypothesis as it might operate in plants.
Full text
PDFSelected References
These references are in PubMed. This may not be the complete list of references from this article.
- Christy A. L., Ferrier J. M. A Mathematical Treatment of Munch's Pressure-Flow Hypothesis of Phloem Translocation. Plant Physiol. 1973 Dec;52(6):531–538. doi: 10.1104/pp.52.6.531. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Ferrier J. M. Time-dependent Behavior of a Mathematical Model for Munch Translocation: Application to Recovery from Cold Inhibition. Plant Physiol. 1975 Mar;55(3):511–514. doi: 10.1104/pp.55.3.511. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Geiger D. R., Giaquinta R. T., Sovonick S. A., Fellows R. J. Solute distribution in sugar beet leaves in relation to Phloem loading and translocation. Plant Physiol. 1973 Dec;52(6):585–589. doi: 10.1104/pp.52.6.585. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Kaufmann M. R., Kramer P. J. Phloem water relations and translocation. Plant Physiol. 1967 Feb;42(2):191–194. doi: 10.1104/pp.42.2.191. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Tyree M. T., Christy A. L., Ferrier J. M. A simpler iterative steady state solution of münch pressure-flow systems applied to long and short translocation paths. Plant Physiol. 1974 Oct;54(4):589–600. doi: 10.1104/pp.54.4.589. [DOI] [PMC free article] [PubMed] [Google Scholar]