A simple model of the Calvin cycle has only one physiologically feasible steady state under the same external conditions

Nonlinear Analysis: Real World Applications

Volumn 10, Issue 3, 2009, Pages 1490-1499

  Zhu, Xin Guang ^a   Alba, Rafael ^a   de Sturler, Eric ^b  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

Evolution; Nonlinear system; Photosynthesis; Steady state

Indexed keywords

NONLINEAR SYSTEMS; PHYSIOLOGICAL MODELS;

CALVIN CYCLES; EVOLUTION; EVOLUTIONARY PERSPECTIVES; EXTERNAL CONDITIONS; HOMOTOPY; MULTIPLE STEADY STATE; POLYNOMIAL SYSTEMS; ROOT FINDINGS; SIMPLE MODELS; SIMPLIFIED MODELS; STEADY STATE;

PHOTOSYNTHESIS;

EID: 60849136046     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2008.01.021     Document Type: Article

References (38)

1. Albert R., Jeong H., and Barabasi A.L. Error and attack tolerance of complex networks. Nature 406 (2000) 378-382
2. Bassham J.A., and Krause G.H. Free energy changes and metabolic regulation in steady state photosynthetic carbon reduction. Biochim. Biophys. Acta 189 (1969) 207-221
3. Cerf R. Glyceraldehyde 3-phosphate dehydrogenase (NADP) from Sinapis alba: Steady state kinetics. Phytochemistry 17 (1978) 2061-2067
4. 3 species. Planta 149 (1980) 78-90
5. Ferri G., Comerio G., Iadarola P., Zapponi M.C., and Speranza M.L. Subunit structure and activity of glyceraldehyde-3-phosphate dehydrogenase from spinach chloroplasts. Biochim. Biophys. Acta 522 (1978) 19-31
6. Flugge U.-I., Freisl M., and Heldt H.W. Balance between metabolite accumulation and transport in relation to photosynthesis by isolated spinach chloroplasts. Plant Physiol. 65 (1980) 574-577
7. 2 fixation - regulation of spinach ribulose-5-phosphate kinase by stromal metabolite levels. Biochim. Biophys. Acta 722 (1983) 51-60
8. Hanson K.R. Steady-state and oscillating photosynthesis by a starchiess mutant of Nicotiana sylvestris. Plant Physiol. 93 (1990) 1212-1218
9. Harris G.C., and Koniger M. The 'high' concentration of enzymes within the chloroplast. Photosyn. Res. 54 (1997) 5-23
10. Heldt H.W., Chon C.J., Maronde D., Herold A., Stankovic Z.S., Walker D.A., Kraminer A., Kirk M.R., and Heber U. Role of orthophosphate and other factors in regulation of starch formation in leaves and isolated chloroplasts. Plant Physiol. 59 (1977) 1146-1155
11. Igamberdiev A.U., Bykova N.V., Lea P.J., and Gardestrom P. The role of photorespiration in redox and energy balance of photosynthetic plant cells: A study with a barley mutant deficient in glycine decarboxylase. Physiol. Plant. 111 (2001) 427-438
12. Kopkesecundo E., Molnar I., and Schnarrenberger C. Isolation and characterization of the cytosolic and chloroplastic 3-phosphoglycerate kinase from spinach leaves. Plant Physiol. 93 (1990) 40-47
13. 2 fixation - changes in the activity of ribulosephosphate kinase and fructose-bisphosphatase and sedoheptulose-bisphosphatase in chloroplasts. Biochim. Biophys. Acta 637 (1981) 348-359
14. 2- and activating metal ion. Biochim. Biophys. Acta 132 (1967) 33-40
15. E. Latzko, M. Steup, C. Schachtele, Starch synthesis and degradation in photosynthetic tissues, in: G. Akoyunoglou (Ed.), Photosynthesis, IV Regulation of Carbon Metabolism, Balaban International Science Services, Philadelphia, 1981, pp. 517-528
16. 2 exchange in the field. J. Exp. Bot. 47 (1996) 1629-1642
17. Macioszek J., and Anderson L.E. Changing kinetic properties of the 2-enzyme phosphoglycerate kinase NADP-linked glyceraldehyde-3-phosphate dehydrogenase couple from pea chloroplasts during photosynthetic induction. Biochim. Biophys. Acta 892 (1987) 185-190
18. Martin W., Scheibe R., and Schnarrenberger C. The Calvin cycle and its regulation. In: Leegood R.C., Sharkey T.D., and von Caemmerer S. (Eds). Advances in Photosynthesis vol 9 (2000), Kluwer Academic Publishers, Dordrecht 9-51
19. MATLAB, version 6. Mathworks Inc., Matick, MA, USA, 2006
20. Mulkidjanian A.Y., Koonin E.V., Makarova K.S., Mekhedov S.L., Sorokin A., Wolf Y.I., Dufresne A., Partensky F., Burd H., Kaznadzey D., Haselkorn R., and Galperin M.Y. The cyanobacterial genome core and the origin of photosynthesis. PNAS 103 (2006) 13126-13131
21. Omnaas J., Porter M.A., and Hartman F.C. Evidence for a reactive cysteine at the nucleotide binding-site of spinach ribulose-5-phosphate kinase. Arch. Biochem. Biophys. 236 (1985) 646-653
22. Pearcy R.W., Gross L.J., and He D. An improved dynamic model of photosynthesis for estimation of carbon gain in sunfleck light regimes. Plant, Cell Environ. 20 (1997) 411-424
23. Peterkofsky A., and Racher E. The reductive pentose phosphate cycle III, enzyme activities in cell-fee extracts of photosynthetic organisms. Plant Physiol. 36 (1961) 409-414
24. Pettersson G., and Ryde-Pettersson U. A mathematical model of the Calvin photosynthesis cycle. Eur. J. Biochem. 175 (1988) 661-672
25. Poolman M.G., Olcer H., Lloyd J.C., Raines C.A., and Fell D.A. Computer modelling and experimental evidence for two steady states in the photosynthetic Calvin cycle. Eur. J. Biochem. 268 (2001) 2810-2816
26. Schurmann P., and Jacquot J.P. Plant thioredoxin systems revisited. Ann. Rev. Plant Physiol. Plant Mol. Biol. 51 (2000) 371-400
27. Segel I.H. Enzyme Kinetics (1975), John Wiley & Sons Inc., New York
28. Trost P., Scagliarini S., Valenti V., and Pupillo P. Activation of spinach chloroplast glyceraldehyde-3-phosphate dehydrogenase - effect of glycerate 1,3-bisphosphate. Planta 190 (1993) 320-326
29. Tyson J.J., Chen K., and Novak B. Network dynamics and cell physiology. Nature Rev. Mol. Cell Biol. 2 (2001) 908-916
30. Tyson J.J., Chen K.C., and Novak B. Sniffers, buzzers, toggles and blinkers: Dynamics of regulatory and signaling pathways in the cell. Curr. Opinions Cell Biol. 15 (2003) 221-231
31. von Caemmerer S. Biochemical models of leaf photosynthesis. Techniques in Plant Sciences series (2000), CSIRO Publishing, Australia
32. Walker D. Concerning oscillations. Photosyn. Res. 34 (1992) 387-395
33. Wang Z., Zhu X.G., Chen Y.Z., Li Y.Y., Hou J., Li Y.X., and Liu L. Exploring photosynthesis evolution by comparative analysis of metabolic networks between chloroplasts and photosynthetic bacteria. BMC Genomics 7 (2006) 10.1186/1471-2164-7-100
34. Wise S.M., Sommese A.J., and Watson L.T. Algorithm 801: POLSYS_PLP: A partitioned linear product homotopy code for solving polynomial systems of equations. ACM Trans. Math. Software 26 (2000) 176-2000
35. Woodrow I.E., and Mott K.A. Modeling C3 photosynthesis - a sensitivity analysis of the photosynthetic carbon reduction cycle. Planta 191 (1993) 421-432
36. i curves from 109 species. J. Exp. Bot. 44 (1993) 907-920
37. Zhu X.-G., de Sturler E., and Long S.P. Optimizing the distribution of resources between enzymes of carbon metabolism can dramatically increase photosynthetic rate: A numerical simulation using an evolutionary algorithm. Plant Physiol. 145 (2007) 513-526
38. Zwolak J.W., Tyson J.J., and Watson L.T. Finding all steady state solutions of chemical kinetic models. Nonlinear Anal. RWA 5 (2004) 801-814