New Phytologist
Volume 132, Issue 2, Pages 235-245
February 1996

Analysis of stomatal CO2 uptake by a three-dimensional cylindrically symmetric model

T. Vesala1, T. Ahonen1, P. Hari2, E. Krissinel3 and N. Shokhirev4

1Department of Physics, P.O. Box 9, FIN-00014, University of Helsinki, Finland
2Department of Forest Ecology, P.O. Box 24, FIN-00014, University of Helsinki, Finland
3Russian Academy of Sciences, Institute for Water and Environmental Problems, Papanintsev 105, Barnaul 656099, Russia
4Russian Academy of Sciences, Institute of Chemical Kinetics and Combustion, Institutskaya 3, Novosibirsk 630090, Russia

Received for publication June 12, 1995; Accepted October 26, 1995

 

Abstract

 

A numerical model is introduced that solves the steady-state diffusion equation for a single stoma and the mesophyll surrounding. This system has cylindrical symmetry, and diffusive transport of carbon dioxide in the gas phase is coupled with transfer in mesophyll along with a photosynthetic sink rate and respiratory production rates. The mesophyll is treated as a continuously distributed liquid phase, and the photosynthetic rate is determined by the carbon dioxide concentration, the photosynthetic photon flux density and the chlorophyll concentration. Photorespiration is proportional to the photon flux density, and dark respiration is assumed to be constant. The model offers a rigorous way to investigate the roles of physics and geometrical structure in stomatal gas exchange. Lateral (radial) diffusion and differences between hypostomatous and needle-like leaves are analysed with special attention. To yield realistic stomatal behaviour, the model requires that the diffusion coefficient describing mesophyllic transport must be somewhat larger than carbon dioxide diffusivity in pure liquid water. The mesophyllic carbon dioxide concentration slopes sharply towards a constant value as a function of distance from the surface of a sub-stomatal cavity. The optimal placement of chlorophyll is close to the surface containing stomata.
 
Key words

 

Diffusion, CO2 exchange, CO2 concentration profile, physics of stomata, needle.