| Literature DB >> 30976673 |
Daiana Nygaard1,2, Oxana Yashchuk1,2, Élida B Hermida1,2.
Abstract
Entities:
Keywords: Mathematical biosciences; Microbiology
Year: 2019 PMID: 30976673 PMCID: PMC6441750 DOI: 10.1016/j.heliyon.2019.e01374
Source DB: PubMed Journal: Heliyon ISSN: 2405-8440
Full Factorial Design variables: fructose concentration (C); ammonium sulphate concentration (N); initial pH of the medium; concentration of the phosphate solution (P); concentration of the microelement solution (M).
| Variable | Unit | Levels | ||
|---|---|---|---|---|
| - | 0 | + | ||
| C | g/l | 15 | 20 | 25 |
| N | g/l | 1.5 | 2.25 | 3 |
| pH | - | 6.5 | 7 | 7.5 |
| P | g/l | 4 | 8 | 12 |
| M | ml/l | 1 | 2 | 3 |
Fig. 1Typical profile of C. necator ATCC 17697 in culture medium with fructose 15 g/l, incubated at 30 °C, 150 rpm, for 72 hours for: (♦) total biomass, (○) residual biomass and (●) PHB, and changes in (■) ammonium sulfate, (▲) fructose and (□) pH.
Fig. 2TEM of C. necator ATCC 17697 cells cultivated during 72 h (20000 X).
Statistical analysis for the variables of the experimental design: fructose concentration (C); ammonium sulphate concentration (N); initial pH; concentration of the phosphate solution (P); concentration of the microelements solution (M). The coefficients of the variables are in coded and uncoded units.
| Variable | Coefficients in coded units | Standard error | Coefficients in uncoded units | |
|---|---|---|---|---|
| Constant | 4.1493 | 0.19137 | <0.001 | -39.3042 |
| C | 0.0726 | 0.05652 | 0.204 | 2.5411 |
| N | -0.5674 | 0.0586 | <0.001 | -2.8322 |
| pH | 0.5052 | 0.0586 | <0.0001 | 2.0879 |
| P | 0.0898 | 0.0586 | 0.131 | 1.4618 |
| M | 0.0905 | 0.0586 | 0.128 | -1.3090 |
| C*C | -1.7424 | 0.28408 | <0.001 | -0.0697 |
| N*N | -0.1797 | 0.21797 | 0.413 | -0.3195 |
| C*N | 0.0027 | 0.0586 | 0.963 | 0.0007 |
| C*pH | 0.1007 | 0.0586 | 0.091 | 0.0403 |
| C*P | -0.0490 | 0.0586 | 0.407 | -0.0025 |
| C*M | -0.0064 | 0.0586 | 0.913 | -0.0013 |
| N*pH | -0.1090 | 0.0586 | 0.068 | -0.2907 |
| N*P | -0.1143 | 0.0586 | 0.056 | -0.0380 |
| N*m | 0.0651 | 0.0586 | 0.271 | 0.0868 |
| pH*P | -0.3839 | 0.0586 | <0.001 | -0.1920 |
| pH*M | 0.0767 | 0.0586 | 0.196 | 0.1534 |
| P*M | 0.0780 | 0.0586 | 0.188 | 0.0195 |
| R2 = 85.10% | Adj. R2 = 80.60% | SD = 0.4688 |
Adj. R2 = 80.6% means that the model fitted very well and can predict satisfactorily the experimental response.
Fig. 3PHB production as a function of C and pH (a); C and N (b) P and pH (c) and coordinates for the maximum production area of PHB (d). For a certain C concentration: PHB production increases as pH increases and decreases as N content increases; no interaction between C and pH or N was found. At low pH the PHB production is favored by the increase of P; however, at the highest level of pH, this relationship changes, becoming inverted.
Model validation. PHB production predicted by the RSM compared to the experimental values for the optimum composition according to the FFD and other two surrounding compositions. Fructose concentration (C); ammonium sulphate concentration (N); initial pH of the medium; concentration of the phosphate solution (P); concentration of the microelement solution (M).
| C | N | pH | P | M | Predicted value PHB (g/l) | Experimental Value PHB (g/l) |
|---|---|---|---|---|---|---|
| 20 | 1.5 | 7 | 8 | 2 | 4.35 ± 0.59 | 4.39 ± 0.07 |
| 20 | 3 | 7 | 8 | 2 | 3.40 ± 0.59 | 3.50 ± 0.29 |
| 20 | 1.5 | 7.5 | 8.75 | 2 | 5.17 ± 0.62 | 4.59 ± 0.04 |
a. Design matrix: Exp, number of experiment (0, center point, Op; optimized point), Fructose concentration (C); ammonium sulphate concentration (N); initial pH of the medium; concentration of the phosphate solution (P); concentration of the microelements solution (M). b. Analytical measurements after 72 hours: change in pH of the medium (Δ pH), fructose consumed (ΔC), total biomass (X), PHB production (PHB). c. Yields of fermentation processes (YP/X, from biomass to product; YP/S, from substrate to product, YX/S, from substrate to biomass) and polymer productivity (PPHB).
| a | b | c | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Exp | C | N | pH | P | ΔpH | ΔC | X | PHB | YP/X | YP/S | YX/S | PPHB |
| g/l | g/l | g/l | g/l | g/l | g/l | g/g | g/g | g/g | g/l/h | |||
| 0 | 20 | 2.25 | 7 | 8 | 0.9 | 18.7 | 6.8 | 4.0 | 0.59 | 0.21 | 0.36 | 0.06 |
| 1 | 15 | 1.5 | 6.5 | 4 | 2.3 | 8.5 | 2.4 | 1.3 | 0.55 | 0.16 | 0.28 | 0.02 |
| 2 | 15 | 1.5 | 6.5 | 12 | 0.4 | 14.7 | 4.2 | 3.1 | 0.73 | 0.21 | 0.29 | 0.04 |
| 3 | 15 | 1.5 | 7.5 | 4 | 1.2 | 14.3 | 5.2 | 3.1 | 0.60 | 0.22 | 0.36 | 0.04 |
| 4 | 15 | 1.5 | 7.5 | 12 | 0.5 | 13.3 | 5.1 | 2.8 | 0.54 | 0.21 | 0.38 | 0.04 |
| 5 | 15 | 3 | 6.5 | 4 | 2.2 | 7.8 | 2.3 | 1.3 | 0.58 | 0.17 | 0.29 | 0.02 |
| 6 | 15 | 3 | 6.5 | 12 | 1.3 | 13.8 | 4.7 | 1.4 | 0.30 | 0.10 | 0.34 | 0.02 |
| 7 | 15 | 3 | 7.5 | 4 | 2.9 | 14.5 | 5.2 | 2.4 | 0.46 | 0.17 | 0.36 | 0.03 |
| 8 | 15 | 3 | 7.5 | 12 | 1.2 | 13.8 | 4.7 | 1.0 | 0.21 | 0.07 | 0.34 | 0.01 |
| 9 | 25 | 1.5 | 6.5 | 4 | 2.2 | 8.9 | 2.5 | 1.4 | 0.57 | 0.16 | 0.28 | 0.02 |
| 10 | 25 | 1.5 | 6.5 | 12 | 0.4 | 10.6 | 4.8 | 2.8 | 0.58 | 0.27 | 0.46 | 0.04 |
| 11 | 25 | 1.5 | 7.5 | 4 | 1.3 | 18.1 | 6.6 | 4.5 | 0.68 | 0.25 | 0.36 | 0.06 |
| 12 | 25 | 1.5 | 7.5 | 12 | 0.5 | 15.5 | 5.4 | 2.8 | 0.51 | 0.18 | 0.35 | 0.04 |
| 13 | 25 | 3 | 6.5 | 4 | 2.2 | 10.0 | 2.2 | 1.1 | 0.51 | 0.11 | 0.22 | 0.02 |
| 14 | 25 | 3 | 6.5 | 12 | 0.6 | 11.7 | 4.0 | 1.1 | 0.27 | 0.09 | 0.34 | 0.01 |
| 15 | 25 | 3 | 7.5 | 4 | 3.3 | 15.2 | 4.8 | 2.1 | 0.44 | 0.14 | 0.31 | 0.03 |
| 16 | 25 | 3 | 7.5 | 12 | 0.9 | 18.5 | 8.0 | 2.4 | 0.30 | 0.13 | 0.43 | 0.03 |
| Op | 20 | 1.5 | 7.5 | 8.75 | 0.9 | 14.7 | 6.5 | 4.6 | 0.70 | 0.31 | 0.44 | 0.06 |
Fig. 4FTIR spectra of commercially available PHB (a) and PHB produced by C. necator ATCC 17697 (b).