Table 2.
Model parameters for population balance equation (PBE) modelling approach used in the simulation. Parameters µ′ and αP were obtained by fitting model results and experimental data for experiments carried out when initial cell number was equal to 3.68 × 104 (Run 1). These parameters have been also used to test the model predictive capability for experiments performed starting with 2.3 × 104 and 1.0 × 104 (i.e. Runs 2–3) as initial cell number
Parameter | Value | Unit | Reference |
---|---|---|---|
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0.203 × 10−6 | mmol/mm3 | Schumpe et al. (41) |
Cm | 0.006 × 10−6 | mmol/mm3 | Obradovic et al. (42) |
dc | 1.14 × 106 | ng/mm3 | Jakob et al. (40) |
N 0 | Run 1: 3.68 × 104 | Cells | This work |
Run 2: 2.3 × 104 | |||
Run 3: 1.0 × 104 | |||
q | 40 | – | Mantzaris et al. (19) |
V | 800 | mm3 | This work |
αP | 10.8 | – | This work (tuned parameter) |
ϕa | 800 | mm2 | This work |
µ | 3.8 | ng | This work |
µ0 | 2 | ng | This work |
µc | 1.0 × 10−3 | 1/h | Munteanu et al. (43) |
µ′ | 97.4 | ng/(mm2 h) | This work (tuned parameter) |
σ | 1.125 | ng | This work |
σ0 | 0.4 | ng | This work |