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    Modelling of wine vinegar acetification bioreactor: Global sensitivity analysis and simplification of the model

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    https://www.riss.kr/link?id=A108471567

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    다국어 초록 (Multilingual Abstract) kakao i 다국어 번역

    First-principles models of any process usually describe its complex underlying mechanisms using differentialand algebraic equations including several unknown parameters, whose values must be normallyestimated from experimental data. In this context, assessment of the influence of each parameter onmodel outputs, also known as sensitivity analysis, is an invaluable tool to, for example, simplify the structureof such model. In this work, variance-based Global Sensitivity Analysis (GSA) using Sobol’ main andtotal effects was carried out on a previously proposed acetification process first-principles model. Threeparameters (KSE, KIA and KSO) showed less influence than the remaining nine considering their statedvalue ranges; KSE presented no influence in all the analysed experimental conditions, value variation ofKIA exhibited a slightly greater effect on experiments with higher mean acetic acid concentrations andKSO showed the strongest impact by varying its value in all the experiments. According to these results,the model was simplified and its simulation compared with the initially proposed model and the experimentaldata. The analysis performed, by way of example, can be of crucial importance for any otherprocess.
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    First-principles models of any process usually describe its complex underlying mechanisms using differentialand algebraic equations including several unknown parameters, whose values must be normallyestimated from experimental data. In this context, a...

    First-principles models of any process usually describe its complex underlying mechanisms using differentialand algebraic equations including several unknown parameters, whose values must be normallyestimated from experimental data. In this context, assessment of the influence of each parameter onmodel outputs, also known as sensitivity analysis, is an invaluable tool to, for example, simplify the structureof such model. In this work, variance-based Global Sensitivity Analysis (GSA) using Sobol’ main andtotal effects was carried out on a previously proposed acetification process first-principles model. Threeparameters (KSE, KIA and KSO) showed less influence than the remaining nine considering their statedvalue ranges; KSE presented no influence in all the analysed experimental conditions, value variation ofKIA exhibited a slightly greater effect on experiments with higher mean acetic acid concentrations andKSO showed the strongest impact by varying its value in all the experiments. According to these results,the model was simplified and its simulation compared with the initially proposed model and the experimentaldata. The analysis performed, by way of example, can be of crucial importance for any otherprocess.

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    참고문헌 (Reference)

    1 A. Saltelli, 7 : 1995

    2 Andrea Saltelli, "Why so many published sensitivity analyses are false: A systematic review of sensitivity analysis practices" Elsevier BV 114 : 29-39, 2019

    3 I. García-García, "Vinegars of the World" Springer Milan 97-120, 2009

    4 Andrea Saltelli, "Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index" Elsevier BV 181 (181): 259-270, 2010

    5 I.M. Sobol, "Uniformly distributed sequences with an additional uniform property" Elsevier BV 16 (16): 236-242, 1976

    6 Saman Razavi, "The Future of Sensitivity Analysis: An essential discipline for systems modeling and policy support" Elsevier BV 137 : 104954-, 2021

    7 Jorge E. Jiménez-Hornero, "Structural identifiability of a model for the acetic acid fermentation process" Elsevier BV 216 (216): 154-162, 2008

    8 Valentin N. Sapunov ; Antonina A. Stepacheva ; Esther M. Sulman ; Johan Wärnåc ; Päivi Mäki-Arvela ; Mikhail G. Sulman ; Alexander I. Sidorov ; Barry D. Stein ; Dmitry Yu. Murzin ; Valentina G. Matveeva, "Stearic acid hydrodeoxygenation over Pd nanoparticles embedded in mesoporous hypercrosslinked polystyrene" 한국공업화학회 46 : 426-435, 2017

    9 Emanuele Borgonovo, "Sensitivity analysis: A review of recent advances" Elsevier BV 248 (248): 869-887, 2016

    10 Francesca Pianosi, "Sensitivity analysis of environmental models: A systematic review with practical workflow" Elsevier BV 79 : 214-232, 2016

    1 A. Saltelli, 7 : 1995

    2 Andrea Saltelli, "Why so many published sensitivity analyses are false: A systematic review of sensitivity analysis practices" Elsevier BV 114 : 29-39, 2019

    3 I. García-García, "Vinegars of the World" Springer Milan 97-120, 2009

    4 Andrea Saltelli, "Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index" Elsevier BV 181 (181): 259-270, 2010

    5 I.M. Sobol, "Uniformly distributed sequences with an additional uniform property" Elsevier BV 16 (16): 236-242, 1976

    6 Saman Razavi, "The Future of Sensitivity Analysis: An essential discipline for systems modeling and policy support" Elsevier BV 137 : 104954-, 2021

    7 Jorge E. Jiménez-Hornero, "Structural identifiability of a model for the acetic acid fermentation process" Elsevier BV 216 (216): 154-162, 2008

    8 Valentin N. Sapunov ; Antonina A. Stepacheva ; Esther M. Sulman ; Johan Wärnåc ; Päivi Mäki-Arvela ; Mikhail G. Sulman ; Alexander I. Sidorov ; Barry D. Stein ; Dmitry Yu. Murzin ; Valentina G. Matveeva, "Stearic acid hydrodeoxygenation over Pd nanoparticles embedded in mesoporous hypercrosslinked polystyrene" 한국공업화학회 46 : 426-435, 2017

    9 Emanuele Borgonovo, "Sensitivity analysis: A review of recent advances" Elsevier BV 248 (248): 869-887, 2016

    10 Francesca Pianosi, "Sensitivity analysis of environmental models: A systematic review with practical workflow" Elsevier BV 79 : 214-232, 2016

    11 H. Gupta, "Sensitivity Analysis in Earth Observation Modelling" Elsevier 397-415, 2017

    12 S. Baena-Ruano, "Rapid method for total, viable and non-viable acetic acid bacteria determination during acetification process" Elsevier BV 41 (41): 1160-1164, 2006

    13 Jorge E. Jiménez-Hornero, "Optimization of biotechnological processes. The acetic acid fermentation. Part II: Practical identifiability analysis and parameter estimation" Elsevier BV 45 (45): 7-21, 2009

    14 Jorge E. Jiménez-Hornero, "Optimization of biotechnological processes. The acetic acid fermentation. Part I: The proposed model" Elsevier BV 45 (45): 1-6, 2009

    15 M. Tosin, "Networks in Systems Biology: Applications for Disease Modeling" Springer International Publishing 93-118, 2020

    16 Jorge E. Jiménez-Hornero, "Modelling Acetification with Artificial Neural Networks and Comparison with Alternative Procedures" MDPI AG 8 (8): 749-, 2020

    17 Ines M. Santos-Dueñas, "Modeling and optimization of acetic acid fermentation: A polynomial-based approach" Elsevier BV 99 : 35-43, 2015

    18 Seung Hyuk Baek ; Seok Ku Jeon ; Krishna Pagilla, "Mathematical modeling of aerobic membrane bioreactor (MBR) using activated sludge model no. 1 (ASM1)" 한국공업화학회 15 (15): 835-840, 2009

    19 Silvia Baena-Ruano, "Influence of the final ethanol concentration on the acetification and production rate in the wine vinegar process" Wiley 85 (85): 908-912, 2010

    20 Toshimitsu Homma, "Importance measures in global sensitivity analysis of nonlinear models" Elsevier BV 52 (52): 1-17, 1996

    21 H. Christopher Frey, "Identification and Review of Sensitivity Analysis Methods" Wiley 22 (22): 553-578, 2002

    22 I.M Sobol′, "Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates" Elsevier BV 55 (55): 271-280, 2001

    23 Bruno Sudret, "Global sensitivity analysis using polynomial chaos expansions" Elsevier BV 93 (93): 964-979, 2008

    24 Katerina Konakli, "Global sensitivity analysis using low-rank tensor approximations" Elsevier BV 156 : 64-83, 2016

    25 I. García-García, "Estimating the mean acetification rate via on-line monitored changes in ethanol during a semi-continuous vinegar production cycle" Elsevier BV 80 (80): 460-464, 2007

    26 I.M. Sobol’, "Derivative based global sensitivity measures and their link with global sensitivity indices" Elsevier BV 79 (79): 3009-3017, 2009

    27 J.E. Jiménez-Hornero, "Contribuciones al modelado y optimización del proceso de fermentación acética" Universidad Nacional de Educación a Distancia Madrid 2007

    28 Y. Zheng, "Comparative study of parameter sensitivity analyses of the TCR-activated Erk-MAPK signalling pathway" Institution of Engineering and Technology (IET) 153 (153): 201-211, 2006

    29 David Villanueva-Bermejo ; Tiziana Fornari ; Maria V. Calvo ; Javier Fontecha ; Jose A.P. Coelho ; Rui M. Filipe ; Roumiana P. Stateva, "Application of a novel approach to modelling the supercritical extraction kinetics of oil from two sets of chia seeds" 한국공업화학회 82 : 317-323, 2020

    30 John Norton, "An introduction to sensitivity assessment of simulation models" Elsevier BV 69 : 166-174, 2015

    31 Paul Bratley, "Algorithm 659" Association for Computing Machinery (ACM) 14 (14): 88-100, 1988

    32 I. García-García, "Advances in Vinegar Production" CRC Press 299-325, 2019

    33 Dan G. Cacuci, "A Comparative Review of Sensitivity and Uncertainty Analysis of Large-Scale Systems—II: Statistical Methods" Informa UK Limited 147 (147): 204-217, 2004

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