Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1899007 | Physica D: Nonlinear Phenomena | 2007 | 14 Pages |
Abstract
The process of photosynthesis is facilitated by pores on the leaf surface called stomata. When a particular stoma is open, CO2 is absorbed through its aperture, but H2O is also lost due to evaporation. Thus a plant will seek a stomatal aperture that balances its need for CO2 with its aversion to H2O loss. In order to visualize a particular leaf's stomatal aperture distribution and how it changes with time, fluorescence data is collected at regular intervals as digital images, resulting in a video sequence. It has been observed that stomatal apertures are often synchronized into spatially extended patches. In order objectively to analyze this phenomenon we have developed a technique to isolate patches via a three-dimensional PDE-based segmentation method. The resulting segmented data is then collapsed to a vector valued time series of much smaller dimension with a hybrid PCA-Archetypal Analysis approach. This allows for a unique interpretation of the data in terms of statistical measures of the motions of representative patches. The technique is illustrated with a data-set from a particularly complicated regime collected by the Complexity and Stomatal Behavior research lab at Utah State University.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Aaron Luttman, Emily Stone, Johnathan Bardsley,