Geodesic
Optimality principle in mathematical models of organogenesis
Matematičeskoe modelirovanie, Tome 17 (2005) no. 7, pp. 59-73.

Voir la notice de l'article provenant de la source Math-Net.Ru

Review of existing approaches to mathematical description of regulatory aspects of plant development and organogenesis in agroecosystem dynamic models has been provided. The new method for modeling the principal features of organogenesis is proposed. It is based on extreme principles of mathematical programming. 
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A. G. Topaj; R. A. Poluektov. Optimality principle in mathematical models of organogenesis. Matematičeskoe modelirovanie, Tome 17 (2005) no. 7, pp. 59-73. http://geodesic.mathdoc.fr/item/MM_2005_17_7_a6/

[1] Wilson J. B., “A review of evidence on the control of shoot: root ratio, in relation to models”, Annals of Botany, 61 (1988), 433–449

[2] Marceils L. F. M., “Simulation of biomass allocation in glasshouse crops – a review”, Acta Horticulturae, 328 (1993), 49–67

[3] Ross Yu. K., “Sistema uravnenii dlya kolichestvennogo opisaniya rosta rastenii”, Fitoaktinometricheskoe issledovanie rastitelnogo pokrova, Valgus, Tallin, 1971, 64–88

[4] Poluektov R. A., Oparina I. V., Fintushal S. M., “Prognozirovanie tempov fenologicheskogo razvitiya selskokhozyaistvennykh rastenii”, Fiziologiya rastenii, 44:4 (2000), 557–564

[5] Lescourret F., Ben Mimoun M., Genard M., “A simulation model of growth at the shoot-bearing fruit level. I. Description and parameterization for peach”, European Journal of Agronomy, 9 (1998), 173–188 | DOI

[6] Poluektov R. A., Kumakov V. A., Evdokimova O. A., Zakharova E. T., Fintushal S. M., “Dinamicheskaya model produktsionnogo protsessa yarovoi pshenitsy s uchetom vliyaniya na rost i razvitie rastenii vodnogo stressa”, S.-kh. biologiya, 2002, no. 1, 44–53 | MR

[7] Thornley J. H. M., “A balanced quantitative model for root: shoot ratios in vegetative plants”, Annals of Botany, 36 (1972), 431–441

[8] Thornley J. H. M., “Modelling Shoot: Root Relations: the Only Way Forward?”, Annals of Botany, 81 (1998), 165–171 | DOI

[9] Reynolds J. F., Chen J., “Modelling whole-plant allocation in relation to carbon and nitrogen supply: Coordination versus optimization”, Plant and Soil, 185 (1996), 65–74 | DOI

[10] Poluektov R. A., E. T. Zakharova, “Two approaches to the description of distribution keys in crop simulation models”, Int. Agrophysics, 1 (2000), 99–104

[11] Fursova P. V., Levich A. P., Alekseev V. L., “Ekstremalnye printsipy v matematicheskoi biologii”, Uspekhi sovremennoi biologii, 123:2 (2003), 115–137 | MR

[12] Kleemola J., Tettinen M., Karvonen T., “Modelling crop growth and biomass partitioning to shoots and roots in relation to nitrogen and water availability, using a maximization principle”, Plant and Soil, 185 (1996), 101–111 | DOI

[13] Kolker Yu. I., Model reproduktivnogo organogeneza soobschestva rastenii, Nauchno-tekhnicheskii byulleten po agronomicheskoi fizike No 21, Agrofizicheskii NII, 1974, 36–40

[14] http://www.modelkinetix.com

[15] Zeide B., “Quality as a characteristic of ecological models”, Ecological Modelling, 55:3–4 (1991), 161 | DOI