Skip to main content
SpringerLink
Log in

Some theoretical considerations in stomatal diffusion: A field theory approach

  • Published:
Acta Biotheoretica Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Literature cited

  • Bateman Manuscript Project. (1954). Table of Integral Transforms. McGraw-Hill Book Co., N.Y.

    Google Scholar 

  • Bowman-Manifold, M. andF. H. Nicoll (1938). “Electrolytic field plotting trough for circularly symmetric systems.” — Nature, CXLII, p. 39.

    Google Scholar 

  • Brown, H. T. andF. Escombe (1900). Static diffusion of gases and liquids in relation to the assimilation of carbon and translocation in plants. — Phil. Trans. Roy. Soc. London Ser. B. CXCIII, p. 223–291.

    Google Scholar 

  • Churchill, R. V. (1941). Fourier Series and Boundary Value Problems. — McGraw-Hill Book Co., N.Y.

    Google Scholar 

  • Churchill, R. V. (1958). Operational Mathematics. — McGraw-Hill Book Co., N.Y.

    Google Scholar 

  • Churchill, R. V. (1960). Complex Variables and Applications. — McGraw-Hill Book Co., N.Y.

    Google Scholar 

  • Del Mar, W. A. (1919). “Discussion”. — AIEE Trans. XXXVIII, p. 1018.

    Google Scholar 

  • Hodgman, Charles D. (ed.) (1960). Handbook of Chemistry and Physics. — Chemical Rubber Publishing Co., Cleveland, Ohio.

    Google Scholar 

  • Crank, J. (1956). The Mathematics of Diffusion. — Oxford University Press, London.

    Google Scholar 

  • Hepp, G. (1939). Measurements of potential by means of the electrolytic tank. — Philips Tech. Rev. IV, p. 223.

    Google Scholar 

  • Humphreys, W. J. (1964). Physics of the Air. — Dover Publications, Inc., N.Y.

    Google Scholar 

  • Jakob, Max andGeorge A. Hawkins (1957). Elements of Heat Transfer. — John Wiley and Sons, Inc., New York.

    Google Scholar 

  • Jeans, SirJames (1925). (Reprinted, 1963. Paperback) The Mathematical Theory of Electricity and Magnetism, Fifth Edition. — Cambridge University Press, London.

    Google Scholar 

  • Karplus, W. J. (1958). Analog Simulation: Solution of Field Problems. — McGraw-Hill Book Co., N.Y.

    Google Scholar 

  • Karplus, W. J. andW. W. Soroka (1959). Analog Methods in Computation and Simulation. — McGraw-Hill Book Co., N.Y.

    Google Scholar 

  • Kellogg, O. D. (1929). (Reprinted 1953. Paperback.) Foundations of Potential Theory. — Dover Publications, Inc., N.Y.

    Google Scholar 

  • Kramer, P. J. (1959). Transpiration and the Water Economy of Plants. — In: F. C. Steward, ed., Plant Physiology, vol. 2, 607–730. — New York, Academic Press.

    Google Scholar 

  • Lamb, SirHorace (1932). (Reprinted, 1945. Paperback) Hydrodynamics. — Dover Publications, Inc., N.Y.

    Google Scholar 

  • Lee, Richard andDavid M. Gates (1964). Diffusion Resistance in Leaves as Related to Their Stomatal Anatomy and Micro-Structure. — Am. J. Bot. LI, 9.

    Google Scholar 

  • Morse, Philip M. andHerman Feshbach (1953). Methods of Theoretical Physics, Part I. McGraw-Hill Book Co., Inc., N.Y.

    Google Scholar 

  • Murnaghan, Francis D. (1948). Introduction to Applied Mathematics. — Dover Publications, Inc., N.Y.

    Google Scholar 

  • Myer, Bernard S., Donald B. Anderson, andRichard H. Böhning (1960). Introduction to Plant Physiology. — D. Van Nostrand Co., Inc., Princeton, N.J.

    Google Scholar 

  • Reitz, John R. andFrederick J.Milford (1960). Foundations of Electromagnetic Theory. — Addison-Wesley.

  • Rice, C. W. (1917). An experimental method of obtaining the solution of electrostatic problems. — AIEE Trans., XXXVI, p. 905.

    Google Scholar 

  • Smythe, W. R. (1950). Static and Dynamic Electricity. — McGraw-Hill Book Co., N.Y.

    Google Scholar 

  • Sneddon, Ian N. (1951). Fourier Transforms. — McGraw-Hill Book Co., Inc., N.Y.

    Google Scholar 

  • Soroka, W. W. (1954). Analog Methods in Computation and Simulation. — McGraw-Hill Book Co., Inc., N.Y.

    Google Scholar 

  • Stefan, M. J. (1881). über die Verdampfung aus einem kreisförmig oder elliptisch begrenzten Becken. — Sitzungsber. Kais. Akad. Wiss., Wien. Mathem.- naturwiss., Cl. II, LXXXIII, p. 943.

    Google Scholar 

  • Stalfelt, M. G. (1932). Der stomatÄre Regulator in der pflanzlichen Transpiration. — Planta XVII, 22–85.

    Google Scholar 

  • Ting, Irwin P. andWalter E. Loomis (1965). Further Studies Concerning Stomatal Diffusion. — J. Plant Phys., XL, 2, p. 000.

    Google Scholar 

  • Tranter, C. J. (1962). Integral Transforms in Mathematical Physics. — Methuen and Co., Ltd., London.

    Google Scholar 

  • Unknown. Instructions: Analog Field Plotter. Cat. No. 112715261 and 62. — General Electric Company, Schenectady, N.Y.

Download references

Author information

Author notes

  1. J. Robert Cooke

    Present address: Dept. Agr. Eng., Cornell Univ., Ithaca, N.Y.

Authors and Affiliations

  1. Department of Biological and Agricultural Engineering, North Caroline State University, Raleigh, North Carolina

    J. Robert Cooke

Authors
  1. J. Robert Cooke
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Contribution from the Biological and Agricultural Engineering Department, North Carolina Agricultural Experiment Station, Raleigh, North Carolina. Published with the approval of the Director of Research as Paper No. 2173 of the Journal Series.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cooke, J.R. Some theoretical considerations in stomatal diffusion: A field theory approach. Acta Biotheor 17, 95–124 (1967). https://doi.org/10.1007/BF01625092

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01625092

Keywords

Search

Navigation