A mathematical description of water flow through plant tissues

Journal of Theoretical Biology

Volumn 180, Issue 1, 1996, Pages 61-70

  Schulte, Paul J ^a   Costa, David G ^a  

^a UNIVERSITY OF NEVADA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CELL TRANSPORT; COMPUTER; ENERGY; MATHEMATICAL MODEL; NONHUMAN; PLANT; PRIORITY JOURNAL; WATER FLOW; WATER TRANSPORT;

EID: 0029887483     PISSN: 00225193     EISSN: None     Source Type: Journal    
DOI: 10.1006/jtbi.1996.0078     Document Type: Article

References (20)

1. CARDON, G. E. & LETEY, J. (1992). Plant water uptake terms evaluated for soil water and solute movement models. Soil Sci. Soc. Am. J. 56, 1876-1880.
2. GARTNER, B. L., BULLOCK, S. H., MOONEY, H. A., BROWN, V. B. & WHITBECK, J. L. (1990). Water transport properties of vine and tree stems in a tropical deciduous forest. Amer. J. Bot. 77, 742-749.
3. HILLE, E. & SALAS, S. (1990). Calculus - One and Several Variables, 6th edn, New York: John Wiley and Sons.
4. HILLMAN, G. R. & VERSCHUREN, J. P. (1988). Simulation of the effects of forest cover, and its removal, on subsurface water. Water Resour. Res. 24, 305-314.
5. HOSTETTER, G. H. (1984). Engineering Network Analysis. New York: Harper & Row Publishers.
6. MILNE, R. (1989). Diurnal water storage in the stems of Picea sitchensis (Bong.) Carr. Plant Cell Environ. 12, 63-72.
7. MOLZ, F. J. & FERRIER, J. M. (1982). Mathematical treatment of water movement in plant cells and tissue: a review. Plant Cell Environ. 5, 191-206.
8. MOORE, R. K. (1960). Traveling-wave Engineering. New York: McGraw-Hill.
9. NOBEL, P. S. (1991). Physicochemical and Environmental Plant Physiology. New York: Academic Press, Inc.
10. PETRIE, C. L., KABALA, Z. J., HALL, A. E. & SIMUNEK, J. (1992). Water transport in an unsaturated medium to roots with differing local geometries. Soil Sci. Soc. Am. J. 56, 1686-1694.
11. PHILIP, J. R. (1958a). Propagation of turgor and other properties through cell aggregations. Plant Physiol. 33, 271-274.
12. PHILIP, J. R. (1958b). Osmosis and diffusion in tissue: half-times and internal gradients. Plant Physiol. 33, 275-278.
13. PICKARD, W. F. (1981). The ascent of sap in plants. Prog. Biophys. molec. Biol. 37, 181-229.
14. PINSKY, M. A. (1984). Introduction to Partial Differential Equations with Applications. New York: McGraw-Hill Book Co.
15. SCHULTE, P. J., SMITH, J. A. C. & NOBEL, P. S. (1989). Water storage and osmotic pressure influences on the water relations of a dicotyledonous desert succulent. Plant Cell Environ. 12, 831-842.
16. SHERIFF, D. W. (1973). Significance of the occurrence of time lags in the transmission of hydraulic shock waves through plant stems. J. Exp. Bot. 24, 796-803.
17. SHERIFF, D. W. (1974). A model of plant hydraulics under non-equilibrium conditions. I. Stems. J. Exp. Bot. 25, 552-561.
18. SILK, W. K. & WAGNER, K. K. (1980). Growth-sustaining water potential distributions in the primary corn root. A noncompartmented continuum model. Plant Physiol. 66, 859-863.
19. TYREE, M. T., SNYDERMAN, D. A., WILMOT, T. R. & MACHADO, J-L. (1991). Water relations and hydraulic architecture of a tropical tree (Schefflera morototoni). Plant Physiol. 96, 1105-1113.
20. ZACHMANOGLOU, E. & THOE, D. (1986). Introduction to Partial Differential Equations with Applications. New York: Dover Publications.