Skip to main content
Log in

A model of diffusion and mass flow of water in cylindrical membrane systems with application to plant roots

  • Published:
The Journal of Membrane Biology Aims and scope Submit manuscript

Summary

Measurements of the radial diffusion of tritiated water, combined with axial and radial flow in an artificial cylindrical membrane, are examined with the aid of a mathematical model. The results are used to assess how far measurement of diffusion of labeled water in plant roots may throw light on pathways of movement of water and on barriers to flow.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Anderson, W.P., House, C.R. 1967. A correlation between structure and function in the root ofZea mays.J. Exp. Bot. 56:544

    Google Scholar 

  • Bircumshaw, L.L., Riddiford, A.C. 1952. Transport control in heterogeneous reactions.Q. Rev. Chem. Soc. 6:157

    Google Scholar 

  • Clarkson, D.T., Robards, A.W., Sanderson, J., Peterson, C.A. 1978. Permeability studies on epidermal-hypodermal sleeves isolated from roots ofAllium cepa (onion).Can. J. Bot. 56:1526

    Google Scholar 

  • Crank, J. 1964. The mathematics of diffusion. University Press, Oxford

    Google Scholar 

  • Dainty, J. 1963. Water relations of plant cells.In: Advances in Botanical Research. R.D. Preston, editor. Vol. 1. p. 279. Academic Press, London

    Google Scholar 

  • Dainty, J. 1976. Water relations of plant cells.In: Encyclopedia of Plant Physiology, New Series 2A. Transport in Plants II. U. Luttge and M.G. Pitman, editors. p. 12. Springer-Verlag, Berlin

    Google Scholar 

  • Dick, D.A.T. 1966. Cell water, p. 96. Butterworth, London

    Google Scholar 

  • Ginsburg, H., Ginzburg, B.Z. 1970a. Radial water and solute flows in roots ofZea mays. I. Water flow.J. Exp. Bot. 21:580

    Google Scholar 

  • Ginsburg, H., Ginzburg B.Z. 1970b. Radial water and solute flows in roots ofZea mays. II. Ion fluxes across the root cortex.J. Exp. Bot. 21:593

    Google Scholar 

  • Graham, J., Clarkson, D.T., Sanderson, J. 1974. Water uptake by the roots of marrow and barley plants.Agric. Res. Coun. (G.B.) Letcombe Lab. Annu. Rep. (1973), p. 9

  • Hays, R.M. 1968. A new proposal for the action of vasopressin, based on studies of a complex synthetic membrane.J. Gen. Physiol. 51:385

    PubMed  Google Scholar 

  • Hodges, T.K., Vaadia, Y. 1964. Uptake and transport of radiochloride and tritiated water by various zones of onion roots of different chloride status.Plant Physiol. 39:104

    Google Scholar 

  • House, C.R. 1974. Water Transport in Cells and Tissues.Monogr. Physiol. Soc. 24:144

    Google Scholar 

  • House, C.R., Jarvis, P. 1968. Effect of temperature on the radial exchange of labelled water in maize roots.J. Exp. Bot. 19:31

    Google Scholar 

  • Jarvis, P., House, C.R. 1967. The radial exchange of labelled water in maize roots.J. Exp. Bot. 18:695

    Google Scholar 

  • Newman, E.I. 1976. Water movement through plant roots.Philos. Trans. R. Soc. London B 273:463

    Google Scholar 

  • Ordin, L., Gairon, S. 1961. Diffusion of tritiated water into roots as influenced by water status of tissue.Plant Physiol 36:331

    Google Scholar 

  • Page, K.R., Abramovich, D.R., Smith, M.R. 1974a. The diffusion of tritiated water across isolated term human amnion.J. Membrane Biol. 18:39

    Google Scholar 

  • Page, K.R., Abramovich, D.R., Smith, M.R. 1974b. Water transport across isolated term human amnion.J. Membrane Biol. 18:49

    Google Scholar 

  • Raney, F., Vaadia, Y. 1965. Movement of tritiated water in the root system ofHelianthus annuus in the presence and absence of transpiration.Plant Physiol. 40:378

    Google Scholar 

  • Shone, M.G.T., Wood, A.V. 1977. Longitudinal movement and loss of nutrients, pesticides and water in barley roots.J. Exp. Bot. 28 872

    Google Scholar 

  • Woolley, J.T. 1965. Radial exchange of labelled water in intact maize roots.Plant Physiol. 40:711

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shone, M.G.T., Bartlett, B.O. & Flood, A.V. A model of diffusion and mass flow of water in cylindrical membrane systems with application to plant roots. J. Membrain Biol. 53, 171–177 (1980). https://doi.org/10.1007/BF01868822

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01868822

Keywords

Navigation