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Nonlinear dynamics of the CAM circadian rhythm in response to environmental forcing.

Publication ,  Journal Article
Hartzell, S; Bartlett, MS; Virgin, L; Porporato, A
Published in: Journal of theoretical biology
March 2015

Crassulacean acid metabolism (CAM) photosynthesis functions as an endogenous circadian rhythm coupled to external environmental forcings of energy and water availability. This paper explores the nonlinear dynamics of a new CAM photosynthesis model (Bartlett et al., 2014) and investigates the responses of CAM plant carbon assimilation to different combinations of environmental conditions. The CAM model (Bartlett et al., 2014) consists of a Calvin cycle typical of C3 plants coupled to an oscillator of the type employed in the Van der Pol and FitzHugh-Nagumo systems. This coupled system is a function of environmental variables including leaf temperature, leaf moisture potential, and irradiance. Here, we explore the qualitative response of the system and the expected carbon assimilation under constant and periodically forced environmental conditions. The model results show how the diurnal evolution of these variables entrains the CAM cycle with prevailing environmental conditions. While constant environmental conditions generate either steady-state or periodically oscillating responses in malic acid uptake and release, forcing the CAM system with periodic daily fluctuations in light exposure and leaf temperature results in quasi-periodicity and possible chaos for certain ranges of these variables. This analysis is a first step in quantifying changes in CAM plant productivity with variables such as the mean temperature, daily temperature range, irradiance, and leaf moisture potential. Results may also be used to inform model parametrization based on the observed fluctuating regime.

Duke Scholars

Published In

Journal of theoretical biology

DOI

EISSN

1095-8541

ISSN

0022-5193

Publication Date

March 2015

Volume

368

Start / End Page

83 / 94

Related Subject Headings

  • Temperature
  • Plant Leaves
  • Photosynthesis
  • Photic Stimulation
  • Nonlinear Dynamics
  • Models, Biological
  • Evolutionary Biology
  • Environment
  • Crassulaceae
  • Circadian Rhythm
 

Citation

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Hartzell, S., Bartlett, M. S., Virgin, L., & Porporato, A. (2015). Nonlinear dynamics of the CAM circadian rhythm in response to environmental forcing. Journal of Theoretical Biology, 368, 83–94. https://doi.org/10.1016/j.jtbi.2014.12.010
Hartzell, Samantha, Mark S. Bartlett, Lawrence Virgin, and Amilcare Porporato. “Nonlinear dynamics of the CAM circadian rhythm in response to environmental forcing.Journal of Theoretical Biology 368 (March 2015): 83–94. https://doi.org/10.1016/j.jtbi.2014.12.010.
Hartzell S, Bartlett MS, Virgin L, Porporato A. Nonlinear dynamics of the CAM circadian rhythm in response to environmental forcing. Journal of theoretical biology. 2015 Mar;368:83–94.
Hartzell, Samantha, et al. “Nonlinear dynamics of the CAM circadian rhythm in response to environmental forcing.Journal of Theoretical Biology, vol. 368, Mar. 2015, pp. 83–94. Epmc, doi:10.1016/j.jtbi.2014.12.010.
Hartzell S, Bartlett MS, Virgin L, Porporato A. Nonlinear dynamics of the CAM circadian rhythm in response to environmental forcing. Journal of theoretical biology. 2015 Mar;368:83–94.
Journal cover image

Published In

Journal of theoretical biology

DOI

EISSN

1095-8541

ISSN

0022-5193

Publication Date

March 2015

Volume

368

Start / End Page

83 / 94

Related Subject Headings

  • Temperature
  • Plant Leaves
  • Photosynthesis
  • Photic Stimulation
  • Nonlinear Dynamics
  • Models, Biological
  • Evolutionary Biology
  • Environment
  • Crassulaceae
  • Circadian Rhythm