Hybrid Deep Modeling of a GS115 (Mut+) <i>Pichia pastoris</i> Culture with State–Space Reduction

Hybrid modeling workflows combining machine learning with mechanistic process descriptions are becoming essential tools for bioprocess digitalization. In this study, a hybrid deep modeling method with state–space reduction was developed and showcased with a <i>P. pastoris</i> GS115 Mut+...

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Main Authors: José Pinto, João R. C. Ramos, Rafael S. Costa, Rui Oliveira
Format: Article
Language:English
Published: MDPI AG 2023-07-01
Series:Fermentation
Subjects:
Online Access:https://www.mdpi.com/2311-5637/9/7/643
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author José Pinto
João R. C. Ramos
Rafael S. Costa
Rui Oliveira
author_facet José Pinto
João R. C. Ramos
Rafael S. Costa
Rui Oliveira
author_sort José Pinto
collection DOAJ
description Hybrid modeling workflows combining machine learning with mechanistic process descriptions are becoming essential tools for bioprocess digitalization. In this study, a hybrid deep modeling method with state–space reduction was developed and showcased with a <i>P. pastoris</i> GS115 Mut+ strain expressing a single-chain antibody fragment (scFv). Deep feedforward neural networks (FFNN) with varying depths were connected in series with bioreactor macroscopic material balance equations. The hybrid model structure was trained with a deep learning technique based on the adaptive moment estimation method (ADAM), semidirect sensitivity equations and stochastic regularization. A state–space reduction method was investigated based on a principal component analysis (PCA) of the cumulative reacted amount. Data of nine fed-batch <i>P. pastoris</i> 50 L cultivations served to validate the method. Hybrid deep models were developed describing process dynamics as a function of critical process parameters (CPPs). The state–space reduction method succeeded to decrease the hybrid model complexity by 60% and to improve the predictive power by 18.5% in relation to the nonreduced version. An exploratory design space analysis showed that the optimization of the feed of methanol and of inorganic elements has the potential to increase the scFv endpoint titer by 30% and 80%, respectively, in relation to the reference condition.
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spelling doaj.art-a8dade0c8dcd492e99020e271c3d73182023-11-18T19:16:20ZengMDPI AGFermentation2311-56372023-07-019764310.3390/fermentation9070643Hybrid Deep Modeling of a GS115 (Mut+) <i>Pichia pastoris</i> Culture with State–Space ReductionJosé Pinto0João R. C. Ramos1Rafael S. Costa2Rui Oliveira3LAQV-REQUIMTE, Department of Chemistry, NOVA School of Science and Technology, NOVA University Lisbon, 2829-516 Lisbon, PortugalLAQV-REQUIMTE, Department of Chemistry, NOVA School of Science and Technology, NOVA University Lisbon, 2829-516 Lisbon, PortugalLAQV-REQUIMTE, Department of Chemistry, NOVA School of Science and Technology, NOVA University Lisbon, 2829-516 Lisbon, PortugalLAQV-REQUIMTE, Department of Chemistry, NOVA School of Science and Technology, NOVA University Lisbon, 2829-516 Lisbon, PortugalHybrid modeling workflows combining machine learning with mechanistic process descriptions are becoming essential tools for bioprocess digitalization. In this study, a hybrid deep modeling method with state–space reduction was developed and showcased with a <i>P. pastoris</i> GS115 Mut+ strain expressing a single-chain antibody fragment (scFv). Deep feedforward neural networks (FFNN) with varying depths were connected in series with bioreactor macroscopic material balance equations. The hybrid model structure was trained with a deep learning technique based on the adaptive moment estimation method (ADAM), semidirect sensitivity equations and stochastic regularization. A state–space reduction method was investigated based on a principal component analysis (PCA) of the cumulative reacted amount. Data of nine fed-batch <i>P. pastoris</i> 50 L cultivations served to validate the method. Hybrid deep models were developed describing process dynamics as a function of critical process parameters (CPPs). The state–space reduction method succeeded to decrease the hybrid model complexity by 60% and to improve the predictive power by 18.5% in relation to the nonreduced version. An exploratory design space analysis showed that the optimization of the feed of methanol and of inorganic elements has the potential to increase the scFv endpoint titer by 30% and 80%, respectively, in relation to the reference condition.https://www.mdpi.com/2311-5637/9/7/643hybrid modelingdeep learningADAM method<i>Pichia pastoris</i> GS115 Mut+single-chain antibody fragment (scFv)bioprocess digitalization
spellingShingle José Pinto
João R. C. Ramos
Rafael S. Costa
Rui Oliveira
Hybrid Deep Modeling of a GS115 (Mut+) <i>Pichia pastoris</i> Culture with State–Space Reduction
Fermentation
hybrid modeling
deep learning
ADAM method
<i>Pichia pastoris</i> GS115 Mut+
single-chain antibody fragment (scFv)
bioprocess digitalization
title Hybrid Deep Modeling of a GS115 (Mut+) <i>Pichia pastoris</i> Culture with State–Space Reduction
title_full Hybrid Deep Modeling of a GS115 (Mut+) <i>Pichia pastoris</i> Culture with State–Space Reduction
title_fullStr Hybrid Deep Modeling of a GS115 (Mut+) <i>Pichia pastoris</i> Culture with State–Space Reduction
title_full_unstemmed Hybrid Deep Modeling of a GS115 (Mut+) <i>Pichia pastoris</i> Culture with State–Space Reduction
title_short Hybrid Deep Modeling of a GS115 (Mut+) <i>Pichia pastoris</i> Culture with State–Space Reduction
title_sort hybrid deep modeling of a gs115 mut i pichia pastoris i culture with state space reduction
topic hybrid modeling
deep learning
ADAM method
<i>Pichia pastoris</i> GS115 Mut+
single-chain antibody fragment (scFv)
bioprocess digitalization
url https://www.mdpi.com/2311-5637/9/7/643
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