Parametric Sensitivity of CSTBRs for <i>Lactobacillus casei</i>: Normalized Sensitivity Analysis
In this paper, a sensitivity analysis of a continuous stirred tank bioreactor (CSTBR) was conducted to determine a parametrically sensitive regime. The growth of a lactic acid bacterium, namely, <i>Lactobacillus casei</i>, in a pH-controlled CSTBR was considered as a process model. Norma...
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MDPI AG
2020-06-01
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| Series: | ChemEngineering |
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| Online Access: | https://www.mdpi.com/2305-7084/4/2/41 |
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| author | Subhashis Das Rajnish Kaur Calay Ranjana Chowdhury |
| author_facet | Subhashis Das Rajnish Kaur Calay Ranjana Chowdhury |
| author_sort | Subhashis Das |
| collection | DOAJ |
| description | In this paper, a sensitivity analysis of a continuous stirred tank bioreactor (CSTBR) was conducted to determine a parametrically sensitive regime. The growth of a lactic acid bacterium, namely, <i>Lactobacillus casei</i>, in a pH-controlled CSTBR was considered as a process model. Normalized objective sensitivities of the minimum pH were determined with respect to input parameters. A generalized criterion for sensitivity was defined for determining the parametric range of three input variables, i.e., dilution rate base stream (θ), base concentration (R), and initial pH (pH<sub>0</sub>) for maintaining optimal pH range in the reactor. The system exhibits sensitive behavior for θ, R, and pH<sub>0</sub>, from 0.095 to 0.295, 0 to 0.865, and 4.42 to 4.77, respectively. The critical values of θ, R, and pH<sub>0</sub> are 0.0195, 0.48, and 4.6, respectively. The mathematical model can also be used to determine a parametrically sensitive regime for other important parameters, namely, temperature, the concentration of metabolites, and other byproducts. The mathematical tool can also be used in bioreactor design and the improvement of control strategies. |
| first_indexed | 2024-03-10T19:05:04Z |
| format | Article |
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| institution | Directory Open Access Journal |
| issn | 2305-7084 |
| language | English |
| last_indexed | 2024-03-10T19:05:04Z |
| publishDate | 2020-06-01 |
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| spelling | doaj.art-62a99195077845339399cb15d24059912023-11-20T04:12:00ZengMDPI AGChemEngineering2305-70842020-06-01424110.3390/chemengineering4020041Parametric Sensitivity of CSTBRs for <i>Lactobacillus casei</i>: Normalized Sensitivity AnalysisSubhashis Das0Rajnish Kaur Calay1Ranjana Chowdhury2Faculty of Engineering Science and Technology, UiT- The Arctic University of Norway, 8514 Narvik, NorwayFaculty of Engineering Science and Technology, UiT- The Arctic University of Norway, 8514 Narvik, NorwayDepartment of Chemical Engineering, Jadavpur University, Kolkata 700032, IndiaIn this paper, a sensitivity analysis of a continuous stirred tank bioreactor (CSTBR) was conducted to determine a parametrically sensitive regime. The growth of a lactic acid bacterium, namely, <i>Lactobacillus casei</i>, in a pH-controlled CSTBR was considered as a process model. Normalized objective sensitivities of the minimum pH were determined with respect to input parameters. A generalized criterion for sensitivity was defined for determining the parametric range of three input variables, i.e., dilution rate base stream (θ), base concentration (R), and initial pH (pH<sub>0</sub>) for maintaining optimal pH range in the reactor. The system exhibits sensitive behavior for θ, R, and pH<sub>0</sub>, from 0.095 to 0.295, 0 to 0.865, and 4.42 to 4.77, respectively. The critical values of θ, R, and pH<sub>0</sub> are 0.0195, 0.48, and 4.6, respectively. The mathematical model can also be used to determine a parametrically sensitive regime for other important parameters, namely, temperature, the concentration of metabolites, and other byproducts. The mathematical tool can also be used in bioreactor design and the improvement of control strategies.https://www.mdpi.com/2305-7084/4/2/41bioreactormathematical modelingsensitivity analysiscontrol |
| spellingShingle | Subhashis Das Rajnish Kaur Calay Ranjana Chowdhury Parametric Sensitivity of CSTBRs for <i>Lactobacillus casei</i>: Normalized Sensitivity Analysis ChemEngineering bioreactor mathematical modeling sensitivity analysis control |
| title | Parametric Sensitivity of CSTBRs for <i>Lactobacillus casei</i>: Normalized Sensitivity Analysis |
| title_full | Parametric Sensitivity of CSTBRs for <i>Lactobacillus casei</i>: Normalized Sensitivity Analysis |
| title_fullStr | Parametric Sensitivity of CSTBRs for <i>Lactobacillus casei</i>: Normalized Sensitivity Analysis |
| title_full_unstemmed | Parametric Sensitivity of CSTBRs for <i>Lactobacillus casei</i>: Normalized Sensitivity Analysis |
| title_short | Parametric Sensitivity of CSTBRs for <i>Lactobacillus casei</i>: Normalized Sensitivity Analysis |
| title_sort | parametric sensitivity of cstbrs for i lactobacillus casei i normalized sensitivity analysis |
| topic | bioreactor mathematical modeling sensitivity analysis control |
| url | https://www.mdpi.com/2305-7084/4/2/41 |
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