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. 2023 Jun 10;23:309. doi: 10.1186/s12870-023-04312-w

Table 4.

Model equation in terms of actual factors for measured indices and optimized levels of each factor needed to achieve maximum or minimum Response

Trait Model Model equation in terms of actual factors Optimized levels of factors (Salinity stress and GABA) Targeted response Optimized response
Piperitenone oxide content Reduced cubic R = 74.73 -0.36 × 1-1.9 × 2 -0.24 × 1 × 2-0.003 × 12 + 0.0017 × 12 × 2 95 mM and 0.2 mM Maximum 81%
Essential oil content Reduced quadratic R = 0.17 + 0.008 × 1 + 0.030 × 2-0.0008 × 1 × 2-0.0003 × 2 100 mM and 0.1 mM Maximum 0.6%
Shoot dry weight Linear R = 27.26-0.10 × 1 + 1.85 × 2 0 mM and 2.4 mM Maximum 32 g
Root dry weight Linear R = 13.81-0.06 × 1 + 0.36 × 2 0 mM and 2.4 mM Maximum 15 g
Total phenols content Reduced quartic R = 124.50-4.01 × 1-258.02 × 2 + 16.53 × 1 × 2 + 0.02 × 12 + 110.80 × 22-0.11 × 12 × 2 -6.98 × 1 × 22 + 0.046 × 12 × 22 75 mM and 1.2 mM Maximum 191 mg GAE g− 1 DW
Total flavonoids content Reduced quartic

R = 26.51-0.78 × 1-38.47 × 2 + 2.28 × 1 × 2+

0.005 × 12 + 17.58 × 22-0.012 × 12 × 2-0.93 × 1 × 22 + 0.005 × 12 × 22

112 mM and 1.1 mM Maximum 48 mg QE g-1 DW

DPPH-scavenging

Activity

Reduced quartic R = 31.06-3.32 × 1 -128.77 × 2 + 8.40 × 1 × 2 + 0.023 × 12 + 53.27 × 22 -0.049 × 12 × 2 -3.18 × 1 × 22 + 0.018 × 12 × 22 116 mM and 1.30 mM Maximum 80%
Relative water content (%) Reduced cubic R = 88.64 + 0.11 × 1 -17.75 × 2 -0.025 × 1 × 2-0.0017 × 12 + 5.261 × 22 + 0.035 × 1 × 12 75 mM and 2.4 mM Maximum 86%

Proline content

(mg g− 1 FW)

Reduced quartic R = 6.65 + 0.051 × 1 -25.63 × 2 + 0.56 × 1 × 2 -0.0036 × 12 + 10.81 × 22 -0.0035 × 12 × 2 -0.24 × 1 × 22 + 0.0015 × 12 × 22 115 mM and 1.7 mM Minimum 3.35 mg g− 1 FW

MDA content

(mg g− 1 FW)

Reduced cubic R = 11.22-0.06 × 1 + 0.51 × 2 + 0.029 × 1 × 2 + 0.001 × 12-0.0005 × 12 × 2 150 mM and 2.4 mM Minimum 6.35 mg g− 1 FW

Chlorophyll a content

(mg g− 1 FW)

Quadratic R = 4.08-0.022 × 1-2.19 × 2 + 0.0075 × 1 × 2 + 0.00026 × 12-0.861 × 22 70 mM and 2.4 mM Maximum 5.3 mg g− 1 FW

Chlorophyll b content

(mg g− 1 FW)

Reduced cubic R = 1.4 + 0.029 × 1-2.20 × 2 + 0.0009 × 1 × 2-0.0002 × 12 + 0.97 × 22 + 0.00006 × 12 × 2 -0.004 × 1 × 22 70 mM and 0.25 mM Maximum 1.93 mg g− 1 FW

Carotenoids content

(mg g− 1 FW)

Linear R = 0.296-0.001 × 1 + 0.022 × 2 0 mM and 2.4 mM Maximum 0.35 mg g− 1 FW
Fv/Fm ratio Quadratic R = 0.76-0.0004 × 1 + 0.030 × 2 + 0.00029 × 1 × 2-0.50 × 12-0.011 × 22 0 mM and 1.3 mM Maximum 0.79