Modeling of bioprocesses via MINLP-based symbolic regression of S-system formalisms.

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Title: Modeling of bioprocesses via MINLP-based symbolic regression of S-system formalisms.
Authors: Forster, Tim1 (AUTHOR), Vázquez, Daniel1 (AUTHOR), Cruz-Bournazou, Mariano Nicolas2,3 (AUTHOR), Butté, Alessandro2 (AUTHOR), Guillén-Gosálbez, Gonzalo1 (AUTHOR) gonzalo.guillen.gosalbez@chem.ethz.ch
Source: Computers & Chemical Engineering. Feb2023, Vol. 170, pN.PAG-N.PAG. 1p.
Subjects: Artificial neural networks, Ordinary differential equations, Nonlinear programming, Product quality, Petri nets
Abstract: • A method for building models based on an S-system formalism is proposed. • ODE integration is avoided for model training by a two-stage incremental approach. • Models tailorable in complexity by the maximum number of parameters. • Trained closed-form expressions easily interpretable. Mathematical modeling helps guide experiments more effectively, support process monitoring and control tasks, stabilize product quality, increase consumer safety, or ease specific decision-making tasks for subject matter experts. However, constructing accurate process models can be challenging, especially with bioprocesses, due to complex metabolic mechanisms and data scarcity. This work proposes a method for building models combining a mass balance backbone with a canonical kinetic representation, i.e., the S-system formalism. The model structure and parameters that best describe the studied system are automatically identified by solving a mixed-integer nonlinear programming (MINLP) problem. Following an incremental approach, the integration of ordinary differential equations is avoided. Numerical examples show that our method performs similarly to models based on artificial neural networks, outperforming them in some cases while providing an analytical, closed-form model. Such expressions can be more easily interpreted and optimized in existing algebraic modeling systems. [ABSTRACT FROM AUTHOR]
Copyright of Computers & Chemical Engineering is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 161553592
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  Data: Modeling of bioprocesses via MINLP-based symbolic regression of S-system formalisms.
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  Data: <searchLink fieldCode="JN" term="%22Computers+%26+Chemical+Engineering%22">Computers & Chemical Engineering</searchLink>. Feb2023, Vol. 170, pN.PAG-N.PAG. 1p.
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  Data: <searchLink fieldCode="DE" term="%22Artificial+neural+networks%22">Artificial neural networks</searchLink><br /><searchLink fieldCode="DE" term="%22Ordinary+differential+equations%22">Ordinary differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+programming%22">Nonlinear programming</searchLink><br /><searchLink fieldCode="DE" term="%22Product+quality%22">Product quality</searchLink><br /><searchLink fieldCode="DE" term="%22Petri+nets%22">Petri nets</searchLink>
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  Data: • A method for building models based on an S-system formalism is proposed. • ODE integration is avoided for model training by a two-stage incremental approach. • Models tailorable in complexity by the maximum number of parameters. • Trained closed-form expressions easily interpretable. Mathematical modeling helps guide experiments more effectively, support process monitoring and control tasks, stabilize product quality, increase consumer safety, or ease specific decision-making tasks for subject matter experts. However, constructing accurate process models can be challenging, especially with bioprocesses, due to complex metabolic mechanisms and data scarcity. This work proposes a method for building models combining a mass balance backbone with a canonical kinetic representation, i.e., the S-system formalism. The model structure and parameters that best describe the studied system are automatically identified by solving a mixed-integer nonlinear programming (MINLP) problem. Following an incremental approach, the integration of ordinary differential equations is avoided. Numerical examples show that our method performs similarly to models based on artificial neural networks, outperforming them in some cases while providing an analytical, closed-form model. Such expressions can be more easily interpreted and optimized in existing algebraic modeling systems. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Computers & Chemical Engineering is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1016/j.compchemeng.2022.108108
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      – Code: eng
        Text: English
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        PageCount: 1
        StartPage: N.PAG
    Subjects:
      – SubjectFull: Artificial neural networks
        Type: general
      – SubjectFull: Ordinary differential equations
        Type: general
      – SubjectFull: Nonlinear programming
        Type: general
      – SubjectFull: Product quality
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      – SubjectFull: Petri nets
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      – TitleFull: Modeling of bioprocesses via MINLP-based symbolic regression of S-system formalisms.
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            NameFull: Forster, Tim
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            NameFull: Vázquez, Daniel
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            NameFull: Cruz-Bournazou, Mariano Nicolas
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            NameFull: Butté, Alessandro
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            NameFull: Guillén-Gosálbez, Gonzalo
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              M: 02
              Text: Feb2023
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              Y: 2023
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              Value: 170
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