Abstract
Is the adaptive response to environmental stimuli of a biological system lacking a central nervous system a result of a formal computation? If so, these biological systems must conform to a different set of computational rules than those associated with central processing. To explore this idea, we examined the dynamics of stomatal patchiness in leaves. Stomata—tiny pores on the surface of a leaf—are biological processing units that a plant uses to solve an optimization problem—maximize CO 2 assimilation and minimize H 2 O loss. Under some conditions, groups of stomata coordinate in both space and time producing motile patches that can be visualized with chlorophyll fluorescence. These patches suggest that stomata are nonautonomous and that they form a network presumably engaged in the optimization task. In this study, we show that stomatal dynamics are statistically and qualitatively comparable to the emergent, collective, problem-solving dynamics of cellular computing systems.
formerly in Department of Biology, Utah State University, Logan, UT
This paper was presented at the International Conference on Complex Systems (ICCS2004), May 16, 2004.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
P. Bak. How Nature Works: The Science of Self-Organised Criticality. Copernicus Press, New York, NY, 1996.
P. Bak and C. Tang. Self-organized criticality: an explanation of 1/f noise. Physical Review Letters, 59:381, 1987.
W. Beyschlag and J. Eckstein. Stomatal patchiness. Progress in Botany, 59:283–298, 1998.
K. Christensen and Z. Olami. Variation of the gutenberg-richter b values and nontrivial temporal correlations in a spring-block model for earthquakes. Journal of Geophysical Research-Solid Earth, 97(B6):8729–8735, 1992.
I. R. Cowan and G.D. Farquhar. Stomatal function in relation to leaf metabolism and environment. Symposium of the Society for Experimental Biology, 31:471–505, 1977.
J. P. Crutchfield. The calculi of emergence — computation, dynamics and induction. Physica D, 75(l–3):ll–54, 1994.
J. P. Crutchfield and M. Mitchell. The evolution of emergent computation. Proceedings of the National Academy of Science, 92:10742–10746, 1995.
P.F. Daley, K. Raschke, J.T. Ball, and J.A. Berry. Topography of photosynthetic activity of leaves obtained from video images of chlorophyll fluorescence. Plant Physiology, 90(4): 12333–1238, 1989.
P. Gacs, G.L. Kurdyumov, and L.A. Levin. One-dimensional homogeneous media dissolving finite islands. Problems of Information Transmission, 14(3):92–96, 1978.
JW Haefner, TN Buckley, and KA Mott. A spatially explicit model of patchy stomatal responses to humidity. Plant, Cell and Environment, 20(9):1087–1097, 1997.
S.M. Messinger, K.A. Mott, and D. Peak. Task performing dynamics in irregular, biomimetic networks. Complexity, 12:14–21, 2007.
S. Meyer and B. Genty. Mapping intercellular co2 mole fraction (ci) in rosa rubiginosaleaves fed with abscisic acid by using chlorophyll fluorescence imaging — significance of ci estimated from leaf gas exchange. Plant Physiology, 116:947–957, 1998.
K.A. Mott and T.N. Buckley. Stomatal heterogeneity. Journal of Experimental Botany, 49:407–417, 1998.
K.A. Mott and T.N. Buckley. Patchy stomatal conductance: emergent collective behaviour of stomata. Trends in Plant Science, 5:258–262, 2000.
K.A. Mott, F. Denne, and J. Powell. Interactions among stomata in response to perturbations in humidity. Plant, Cell and Environment, 20(9):1098–1107, 1997.
K.A. Mott and D. Peak. Stomatal patchiness and task-performing networks. Annals of Botany, pages 1–8, 2006.
K.A. Mott, J. Shope, and T.N. Buckley. Effects of humidity on lightinduced stomatal opening: evidence for hydraulic coupling among stomata. Journal of Experimental Botany, 50(336):1207–1213, 1999.
D. Peak, J.D. West, S.M. Messinger, and K.A. Mott. Evidence for complex, collective dynamics and emergent, distributed computation in plants. Proceedings of the National Academy of Sciences, 101(4):918–922, 2004.
M. Sipper. Evolution of parallel cellular machines: the cellular programming approach. Springer-Ver lag, New York, NY, 1997.
I. Terashima. Anatomy of non-uniform leaf photosynthesis. Photosynthesis Research, 31:195–212, 1992.
J.D. West, D. Peak, J.Q. Peterson, and K.A. Mott. Dynamics of stomatal patches for a single surface of xanthium strumarium 1. leaves observed with fluorescence and thermal images. Plant Cell and Environment, 28(5):633–641, 2005.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
West, J.D., Peak, D., Mott, K., Messinger, S. (2011). Comparing the dynamics of stomatal networks to the problem-solving dynamics of cellular computers. In: Minai, A.A., Braha, D., Bar-Yam, Y. (eds) Unifying Themes in Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17635-7_40
Download citation
DOI: https://doi.org/10.1007/978-3-642-17635-7_40
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-17634-0
Online ISBN: 978-3-642-17635-7
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)