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. 2016 Dec 9;7:1841. doi: 10.3389/fpls.2016.01841

Table 1.

Description of the eight genotypic parameters used in the calibration step and of the three additional parameters used for designing ideotypes.

Parameter name Description Boundaries
Calibration Ideotypes design
Lower Upper Lower Upper
phiMax [bar−1 h−1] Maximum cell wall extensibility. Involved in cell expansion rate 1.0E-04 0.01 0.002 0.02
Lp [g cm−2 bar−1 h−1] Conductivity of the composite membrane for water transport from phloem to fruit cells 5.0E-04 0.4 0.02 0.6
nuM [gs h−1] Maximum sugar active uptake rate. Involved in the sugar active uptake calculus (Ua) 0.002 0.15 0.002 0.2
tstar [h] Involved in the sugar active uptake calculus. The higher is tstar, later the active uptake begins to decrease 10 900 10 900
tauA [h] Involved in the sugar active uptake calculus. The higher is tauA, the slower is the active uptake decreasing rate in the growth stage 5 900 72 900
tauS [h−2] Involved in the calculus of the reflection coefficient of the composite membrane (sigmaP) which increases with tauS. sigmaP is involved in phloem mass flow 5.0E-06 1.5E-05 1.5E-06 2E-05
lp1 [g bar−1 h−1] Pedicel conductivity for the water transport in phloem 5.0E-05 0.1 0.002 0.2
rxp [dimensionless] Rxp = Lx/Lp = Lx1/Lp1. Lx and Lx1 have the same meaning as Lp and Lp1 but they refer to the xylem 0.1 0.6 0.1 0.8
s0 [g]1 Initial fruit dry weight 0.019 0.086
w0 [g]1 Initial fruit water weight 0.126 1.0
bssrat [dimensionless]1 Involved in the soluble sugar concentration calculus. Ssrat = assrat*t/24 + bssrat Ssrat is the ratio between soluble sugars mass and the total dry mass 0.043 0.22

1 = irrigation dependent parameter, optimized only for the ideotype design.

The parameter ranges used in the calibration step are based on literature data. The lower boundaries of phiMax, lp, and lp1 are set near to 0 for computational stability reasons; tauA, tstar, and tauS are based on experimental information on fruit development.