Photosynthesis Research

, Volume 12, Issue 2, pp 129–143 | Cite as

Generation of oscillatory behavior in the Laisk model of photosynthetic carbon assimilation

  • P. Horton
  • H. Nicholson
Regular Papers

Abstract

The metabolic pathways in photosynthesis are modelled as an interconnected series of chemical reactions representing the electron transfer system, the carbon reduction cycle and starch and sucrose synthesis according to the model of Laisk and Walker [Proc R Soc Lond 227, 281–302 (1986)]. The model is formulated as a set of non-linear differential equations using mass-action kinetics, and stimulated for transient behaviour using an interactive simulation language. The model responses to switched light demonstrate the existence of oscillatory behaviour, similar to that found experimentally in O2 evolution and chlorophyll fluorescence, and explain known transient behaviour. The model is also used to investigate the source of oscillatory behaviour in the phosphate translocator, and other transient phenomena associated with the cyclic electron transfer system.

Key words

mathematical model oscillations photosynthesis regulation of metabolism 

Abbreviations

PQ

plastoquinone

PQH2

plastoquinol

PCred

reduced plastocyanin

PCox

oxidised plastocyanin

Pi

ortho (inorganic) phosphate in chloroplasts

Pio

inorganic orthophosphate in cytosol

TP

triose phosphate

Ru5P

ribulose-5-phosphate

RuBP

ribulose bisphosphate

PGA

phosphoglyceric acid

HP

hexose phosphate

HPo

hexose phosphate-total sugar phosphate in cytoplasm

S

starch

SU

sucrose

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Carver KC and Horton P (1986) Observation and characterisation of a transient in the yield of chlorophyll fluorescence in intact chloroplasts. Photosynthesis Res 11:109–118Google Scholar
  2. 2.
    Charles-Edward DA and Ludwig LJ (1975) A model of leaf carbon metabolism. Annals of Botany 39:819–829Google Scholar
  3. 3.
    Dvorak I and Sel'kov EE (1980) The stoichiometric and allosteric regulation in the Calvin cycle. Photosynthetica 144:564–574Google Scholar
  4. 4.
    Furbank RT and Walker DA (1986) Regulation of photosynthesis under varying light intensity: the contribution of cyclic photophosphorylation in isolated barley protoplasts. In: Ann Rep Res Inst Photosyn (Foyer CH ed) Univ Sheffield 24–25Google Scholar
  5. 5.
    Giersch C (1986) Oscillatory response of photosynthesis in leaves to environmental perturbations: a mathematical model. Arch Biochem Biophys, 245:263–270Google Scholar
  6. 6.
    Hahn BD (1984) A mathematical model of leaf carbon metabolism. Annals of Botany 54:325–339Google Scholar
  7. 7.
    Kaitala V, Hari P, Vapaavuori E and Salminen R (1982) A dynamic model for photosynthesis. Annals of Botany 50:385–396Google Scholar
  8. 8.
    Laisk A (1983) Biochemical structure and kinetic function of the plant photosynthetic apparatus. Fiziol Rast 30:837–851Google Scholar
  9. 9.
    Laisk A (1973) Mathematical model of photosynthesis and photorespiration: reversible phosphoribulokinase reaction. Biophysics 18:679–684Google Scholar
  10. 10.
    Laisk A and Walker DA (1986) Control of phosphate turnover as a rate limiting factor and possible causes of oscillations in photosynthesis. A mathematical model. Proc R Soc Lond 227:281–302Google Scholar
  11. 11.
    Milstein J and Bremermann HJ (1979) Parameter identification of the Calvin photosynthesis cycle. Jl Mathl Biology 7:99–116Google Scholar
  12. 12.
    Nakamoto H, Sivak MN and Walker DA (1986) Sudden changes in the rates of photosynthetic oxygen evolution and changes in chlorophyll fluorescence in intact isolated chloroplasts: The role of orthophosphate. Photosynthesis Res, 11:119–130.Google Scholar
  13. 13.
    Quick WP and Horton P (1986) Studies on the induction of chlorophyll fluorescence in barley protoplasts. III Correlation between changes in the level of glycerate 3-phosphate and the pattern of fluorescence quenching. Biochem Biophys Acta 849:1–6Google Scholar
  14. 14.
    Walker DA and Osmond CB (1986) Measurement of photosynthesis in vivo with a leaf disc electrode: correlation between light dependence of steady state photosynthetic O2 evolution and chlorophyll fluorescence transients. Proc R Soc Lond B 227:262–280Google Scholar
  15. 15.
    Walker DA and Sivak MN (1986) Photosynthesis and phosphate—a cellular affair? Trends Biochem Sci 11:176–179Google Scholar

Copyright information

© Martinus Nijhoff Publishers 1987

Authors and Affiliations

  • P. Horton
    • 1
    • 2
  • H. Nicholson
    • 3
  1. 1.Research Institute for PhotosynthesisUniversity of SheffieldSheffieldUK
  2. 2.Department of BiochemistryUniversity of SheffieldSheffieldUK
  3. 3.Department of Control EngineeringUniversity of SheffieldSheffieldUK

Personalised recommendations