2020
DOI: 10.1007/10_2020_152
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Mechanistic Mathematical Models as a Basis for Digital Twins

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Cited by 34 publications
(29 citation statements)
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“…To the best of our knowledge, such a broad applicability for generic and specific process description was yet not established for any other modeling approach. Although it has to be noted that hybrid as well as mechanistic models reveal their benefits depending on the level of considered detail [87] , a comparable complex parameter calibration procedure as known for parametric models is not needed for our approach. Furthermore, intrinsic parameter values like the temperature as well as the pH value which are not part of mass balance conditions can be straightforwardly included in the model.…”
Section: Discussionmentioning
confidence: 99%
“…To the best of our knowledge, such a broad applicability for generic and specific process description was yet not established for any other modeling approach. Although it has to be noted that hybrid as well as mechanistic models reveal their benefits depending on the level of considered detail [87] , a comparable complex parameter calibration procedure as known for parametric models is not needed for our approach. Furthermore, intrinsic parameter values like the temperature as well as the pH value which are not part of mass balance conditions can be straightforwardly included in the model.…”
Section: Discussionmentioning
confidence: 99%
“…A novel structured compartment model, capable of being adapted to different biotechnological expression systems (e.g., bacteria, yeast, fungi, mammalian cell lines), was used to describe yeast growth, metabolism, and biocatalysis [ 27 , 40 ]. The model was previously introduced by Brüning et al [ 27 ] and is briefly explained in the following.…”
Section: Methodsmentioning
confidence: 99%
“…Furthermore, physicochemical state variables, such as DO, pH, and temperature, have a direct influence on cell metabolism, biomass growth and/or biocatalytic activity [ 27 ]. The uptake rates (rS) of the substrates (S) are rate-limiting steps, which are modeled by Monod kinetics typically used in bioprocess modeling [ 14 , 26 , 28 , 40 ]: is the half-saturation constant. The Monod-like term for the uptake rates is multiplied with the product of multiple double sigmoidal functions ( ) of the state variables ( ), which describe changes of the cell metabolism [ 27 , 41 ]: The value of a state variable is described by x .…”
Section: Methodsmentioning
confidence: 99%
“…The coupling between the real process and the associated DT can take place directly on the running process (process accompanying) or cyclically after the execution of the real process [6][7][8][9][10]. DTs for bioprocesses may be designed, using a shell structure [11,12] (Figure 1), including a biological, a physicochemical, a reactor, a plant and periphery as well as a control and automation sub-model. To facilitate the operation of DTs, they can be equipped with graphical user interfaces (GUIs).…”
Section: Introductionmentioning
confidence: 99%