Algorithm 1.

Dynamic Flux Balance Analysis (dFBA) for Plant Growth

1: function Plant Growth (S(6),LB (6), RB (6))

2:   t = 6

3:   while Day ≤ 36 do

4:     t ← t +1

5:     Day(t) ← t

6:     ${}^{\sigma }{N}_{\max }\left(t\right)\leftarrow \frac{V_{\max }S(t-1)}{K_m+S(t-1)}{R}_B(t-1)$ Michaelis-Menten kinetics

7:     ∑ σND(t),σNN(t) ≤ σNmax(t)

8:     PLA(t) ← mLB(t−1) PLA, Projected Leaf Area

9:     σP(t) ≤ PmaxPLA(t)

10:     Maximize Z ← ∑σLD,σLN,σRD,σRN

11:     ∑ σLD(t),σLN(t): ∑ σRD(t),σRN(t) ← gr(t): (1 –gr(t))

12:     S(t) ← S(t – 1) – [σND(t)+σNN(t)]

13:     LB(t)←LB(t−1) + [σLD(t)+σLN(t)]

14:     RB(t)←RB(t−1) + [σRD(t)+σRN(t)]

15:   end while

16:   end function