Dynamics of coupled stomatal oscillators
 R. H. Rand,
 D. W. Storti,
 S. K. Upadhyaya,
 J. R. Cooke
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Stomata are microscopic openings in the leaves of green plants which permit gas exchange. Stomata exhibit oscillatory opening and closing behavior under certain environmental conditions in addition to a daily (diurnal) cycle. In order to explore the effects of coupling between neighboring stomata we present a mathematical model of the dynamics of a system of N coupled stomatal oscillators. An individual stomate is modeled to either remain closed, oscillate periodically, or remain open, depending on the local water potential. Coupling between neighboring stomata is accomplished in the model by taking into account the flow of water in the leaf as well as by oscillator phase coupling.
Analysis of the model shows that under certain conditions it exhibits a stable spatially uniform synchronized behavior, referred to here as the inphase mode. It is also shown that under nonuniform illumination the system may behave in a more complicated fashion.
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 Title
 Dynamics of coupled stomatal oscillators
 Journal

Journal of Mathematical Biology
Volume 15, Issue 2 , pp 131149
 Cover Date
 19821001
 DOI
 10.1007/BF00275070
 Print ISSN
 03036812
 Online ISSN
 14321416
 Publisher
 SpringerVerlag
 Additional Links
 Topics
 Keywords

 Stomate
 Oscillators
 Dynamical systems
 Authors

 R. H. Rand ^{(1)}
 D. W. Storti ^{(1)}
 S. K. Upadhyaya ^{(2)}
 J. R. Cooke ^{(3)}
 Author Affiliations

 1. Department of Theoretical and Applied Mechanics, Cornell University, 14853, Ithaca, NY, USA
 2. Department of Agricultural Engineering, University of Delaware, 19711, Newark, DE, USA
 3. Department of Agricultural Engineering, Cornell University, 14853, Ithaca, NY, USA