Modeling the hydrodynamics of phloem sieve plates

Frontiers in Plant Science

Volumn 3, Issue JUL, 2012, Pages

  Jensen, Kaare Hartvig ^a,b   Mullendore, Daniel Leroy ^c   Holbrook, Noel Michele ^b   Bohr, Tomas ^a   Knoblauch, Michael ^c   Bruus, Henrik ^a  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

^b HARVARD UNIVERSITY   (United States)

^c WASHINGTON STATE UNIVERSITY   (United States)

Author keywords

Biological fluid dynamics; Hydraulic resistance; Phloem; Sieve plate; Sugar transport in plants

Indexed keywords

EID: 84880296101     PISSN: None     EISSN: 1664462X     Source Type: Journal    
DOI: 10.3389/fpls.2012.00151     Document Type: Article

References (27)

1. COMSOL AB. (2008). COMSOL Multiphysics VERSION 3.5a Reference Guide. Stockholm: COMSOL AB, 316-317.
2. Bruus, H. (2008). Theoretical Microfluidics. Oxford University Press.
3. Bruus, H. (2012). Acoustofluidics 10: scaling laws in acoustophoresis. Lab Chip 12, 1578.
4. Crafts, A. S., and Crisp, C. E. (1971). Phloem Transport in Plants. San Francisco: W. H. Freeman.
5. Dagan, Z., Weinbaum, S., and Pfeffer, R. (1982). An infinite-series solution for the creeping motion through an orifice of finite length. J. Fluid Mech. 115, 505-523.
6. Froelich, D. R., Mullendore, D. L., Jensen, K. H., Ross-Elliott, T. J., Anstead, J. A., Thompson, G. A., Pelissier, H. C., and Knoblauch, M. (2011). Phloem ultrastructure and pressure flow: sieve-element-occlusion-related agglomerations do not affect translocation. Plant Cell 23, 4428-4445.
7. Gould, N., Minchin, P. E. H., and Thorpe, M. R. (2004). Direct measurements of sieve element hydrostatic pressure reveal strong regulation after pathway blockage. Funct. Plant Biol. 31, 987-993.
8. Hasimoto, H. (1958). On the flow of a viscous fluid past a thin screen at small reynolds numbers. J. Physical Soc. Japan 13, 633-639.
9. Jeong, J., and Choi, S. (2005). Axisymmetric stokes flow through a circular orifice in a tube. Phys. Fluids 17, 053602.
10. Johansen, F. C. (1930). Flow through pipe orifices at low Reynolds numbers. Philos. Trans. R. Soc. Lond. A 126, 231-245.
11. Knoblauch, M., and Peters, W. S. (2010). Münch, morphology, microfluidics-our structural problem with the phloem. Plant Cell Environ. 33, 1439-14523.
12. Koplik, J., and Banavar, J. R. (1995). Continuum deductions from molecular hydrodynamics. Annu. Rev. Fluid Mech. 27, 257-292.
13. Lautrup, B. (2011). Physics of Continuous Matter: Exotic and Everyday Phenomena in the Macroscopic World, 2nd Edn. Boca Raton: Taylor & Francis.
14. Mullendore, D. L., Windt, C. W., Van As, H., and Knoblauch, M. (2010). Sieve tube geometry in relation to phloem flow. Plant Cell 22, 579-593.
15. Parkhurst, D. F. (1994). Diffusion of CO2 and other gases inside leaves. New Phytol. 126, 449-479.
16. Parthasarathy, M. V., and Tomlinson, P. B. (1967). Anatomical features of metaphloem in stems of sabal, cocos and two other palms. Am. J. Bot. 54, 1143-1151.
17. Pickard, W. F. (1982). The ascent of sap in plants. Prog. Biophys. Mol. Biol. 37, 181-229.
18. Pritchard, J. (1996). Aphid stylectomy reveals an osmotic step between sieve tube and cortical cells in barley roots. J. Exp. Bot. 47, 1519-1524.
19. Roscoe, R. (1941). The flow of viscous fluids round plane obstacles. Philos. Mag. 40, 338-351.
20. Sampson, R. A. (1891). On stokes's current function. Philos. Trans. R. Soc. Lond. A 182, 449-518.
21. Sperry, J. S., Hacke, U. G., and Wheeler, J. K. (2005). Comparative analysis of end wall resistivity in xylem conduits. Plant Cell Environ. 28, 456-465.
22. Taiz, L., and Zeiger, E. (2002). Plant Physiology, 3rd Edn. Sunderland: Sinauer Associates, Inc.
23. Thompson, M. V., and Holbrook, N. M. (2003). Scaling phloem transport: water potential equilibrium and osmoregulatory flow. Plant Cell Environ. 26, 1561-1577.
24. Wang, C. Y. (2004). Stokes flow through a thin screen with patterened holes. AIChE J. 40, 419-423.
25. Weissberg, H. (1962). End correction for slow viscous flow through long tubes. Phys. Fluids 5, 1033.
26. Wright, J., and Fisher, D. (1983). Estimation of the volumetric elastic modulus and membrane hydraulic conductivity of willow sieve tubes. Plant Physiol. 73, 1042-1047.
27. Wright, J. P., and Fisher, D. B. (1980). Direct measurement of sieve tube turgor pressure using severed aphid stylets. Plant Physiol. 65, 1133-1135.