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Table 1 Efficiency factors ( β j ), rate response coefficients ( C P R j ) and efficiency response coefficients ( C P β j ) for glucose and xylose for the base case and various simulated system changes

From: Improved sugar co-utilisation by encapsulation of a recombinant Saccharomyces cerevisiae strain in alginate-chitosan capsules

Condition Modified parameters ( P) β glucose β xylose C P R glucose C P R xylose C P β glucose C P β xylose
Base case See Table 3 and Figure 1 0.33 39.8 0.00 0.00 0.00 0.00
High xylose c x  = 40 g/l 0.35 36.6 0.00 0.00 0.00 0.00
High furfural and HMF c f  = 4 g/l; c h  = 4 g/l 0.46 56.8 0.00 0.00 0.00 0.00
No furfural and HMF c f  = 0 g/l; c h  = 0 g/l 0.20 23.5 0.00 0.00 0.00
Strong inhibition by furfural and HMF K if =5 mM; K ih  = 10 mM 1.69 222 0.00 0.00
Biomass concentration C cells  = 270 g/l 0.35 41.7 0.38 0.55 −0.62 −0.45
  C cells  = 330 g/l 0.31 38.1     
Maximum glucose uptake rates vgmax, L = 5.4 mmol/g/h; vgmax, H = 1.8 mmol/g/h 0.35 38.5 0.33 0.31 −0.67 0.31
  vgmax, L = 6.6 mmol/g/h; vgmax, H = 2.2 mmol/g/h 0.31 41.0     
Maximum xylose uptake rate v xmax  = 5.4 mmol/g/h 0.33 43.3 0.01 0.20 0.01 −0.80
  v xmax  = 6.6 mmol/g/h 0.33 36.9     
Inhibition of glucose uptake by xylose K ix  = 32.4 mM 0.33 39.5 0.07 0.08 −0.09 0.08
  K ix  = 39.6 mM 0.32 40.1     
Inhibition of glucose and xylose uptake by furfural and HMF K if =36 mM; K ih  = 72 mM 0.34 41.8 0.09 0.06 −0.42 −0.45
  K if =44 mM; K ih =88 mM 0.32 38.2     
Inhibition of xylose uptake by glucose K ig =0.36 mM 0.33 43.9 0.00 0.07 0.00 −0.93
  K ig =0.44 mM 0.33 36.5     
Effective diffusivity in the cell pellet D c,glucose  = 1.52 × 10-10 m2/s; D c,xylose  = 1.73 × 10-10 m2/s; Dc,furfura l = 2.52 × 10-10 m2/s; D c,HMF  = 2.39 × 10-10 m2/s 0.32 38.2 0.34 0.39 0.34 0.39
  D c,glucose  = 1.86 × 10-10 m2/s; D c,xylose  = 2.11 × 10-10 m2/s; Dc,furfura l = 3.08 × 10-10 m2/s; D c,HMF  = 2.92 × 10-10 m2/s 0.34 41.3     
  1. HMF, 5-hydroxymethylfurfural.