Fast and reliable calibration of solid substrate fermentation kinetic models using advanced non-linear programming techniques
Calibration of mechanistic kinetic models describing microorganism growth and secondary metabolite production on solid substrates is difficult due to model complexity given the sheer number of parameters needing to be estimated and violation of standard conditions of numerical regularity. We show ho...
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Pontificia Universidad Católica de Valparaíso
2007
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oai:scielo:S0717-345820070001000052007-08-16Fast and reliable calibration of solid substrate fermentation kinetic models using advanced non-linear programming techniquesAraya,M. MacarenaArrieta,Juan JPérez-Correa,J. RicardoBiegler,Lorenz TJorquera,Héctor dynamic models Gibberellic acid nonlinear models parameter estimation secondary metabolites solid substrate cultivation Calibration of mechanistic kinetic models describing microorganism growth and secondary metabolite production on solid substrates is difficult due to model complexity given the sheer number of parameters needing to be estimated and violation of standard conditions of numerical regularity. We show how advanced non-linear programming techniques can be applied to achieve fast and reliable calibration of a complex kinetic model describing growth of Gibberella fujikuroi and production of gibberellic acid on an inert solid support in glass columns. Experimental culture data was obtained under different temperature and water activity conditions. Model differential equations were discretized using orthogonal collocations on finite elements while model calibration was formulated as a simultaneous solution/optimization problem. A special purpose optimization code (IPOPT) was used to solve the resulting large-scale non-linear program. Convergence proved much faster and a better fitting model was achieved in comparison with the standard sequential solution/optimization approach. Furthermore, statistical analysis showed that most parameter estimates were reliable and accurateinfo:eu-repo/semantics/openAccessPontificia Universidad Católica de ValparaísoElectronic Journal of Biotechnology v.10 n.1 20072007-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0717-34582007000100005en10.4067/S0717-34582007000100005 |
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Scielo Chile |
language |
English |
topic |
dynamic models Gibberellic acid nonlinear models parameter estimation secondary metabolites solid substrate cultivation |
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dynamic models Gibberellic acid nonlinear models parameter estimation secondary metabolites solid substrate cultivation Araya,M. Macarena Arrieta,Juan J Pérez-Correa,J. Ricardo Biegler,Lorenz T Jorquera,Héctor Fast and reliable calibration of solid substrate fermentation kinetic models using advanced non-linear programming techniques |
description |
Calibration of mechanistic kinetic models describing microorganism growth and secondary metabolite production on solid substrates is difficult due to model complexity given the sheer number of parameters needing to be estimated and violation of standard conditions of numerical regularity. We show how advanced non-linear programming techniques can be applied to achieve fast and reliable calibration of a complex kinetic model describing growth of Gibberella fujikuroi and production of gibberellic acid on an inert solid support in glass columns. Experimental culture data was obtained under different temperature and water activity conditions. Model differential equations were discretized using orthogonal collocations on finite elements while model calibration was formulated as a simultaneous solution/optimization problem. A special purpose optimization code (IPOPT) was used to solve the resulting large-scale non-linear program. Convergence proved much faster and a better fitting model was achieved in comparison with the standard sequential solution/optimization approach. Furthermore, statistical analysis showed that most parameter estimates were reliable and accurate |
author |
Araya,M. Macarena Arrieta,Juan J Pérez-Correa,J. Ricardo Biegler,Lorenz T Jorquera,Héctor |
author_facet |
Araya,M. Macarena Arrieta,Juan J Pérez-Correa,J. Ricardo Biegler,Lorenz T Jorquera,Héctor |
author_sort |
Araya,M. Macarena |
title |
Fast and reliable calibration of solid substrate fermentation kinetic models using advanced non-linear programming techniques |
title_short |
Fast and reliable calibration of solid substrate fermentation kinetic models using advanced non-linear programming techniques |
title_full |
Fast and reliable calibration of solid substrate fermentation kinetic models using advanced non-linear programming techniques |
title_fullStr |
Fast and reliable calibration of solid substrate fermentation kinetic models using advanced non-linear programming techniques |
title_full_unstemmed |
Fast and reliable calibration of solid substrate fermentation kinetic models using advanced non-linear programming techniques |
title_sort |
fast and reliable calibration of solid substrate fermentation kinetic models using advanced non-linear programming techniques |
publisher |
Pontificia Universidad Católica de Valparaíso |
publishDate |
2007 |
url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0717-34582007000100005 |
work_keys_str_mv |
AT arayammacarena fastandreliablecalibrationofsolidsubstratefermentationkineticmodelsusingadvancednonlinearprogrammingtechniques AT arrietajuanj fastandreliablecalibrationofsolidsubstratefermentationkineticmodelsusingadvancednonlinearprogrammingtechniques AT perezcorreajricardo fastandreliablecalibrationofsolidsubstratefermentationkineticmodelsusingadvancednonlinearprogrammingtechniques AT bieglerlorenzt fastandreliablecalibrationofsolidsubstratefermentationkineticmodelsusingadvancednonlinearprogrammingtechniques AT jorquerahector fastandreliablecalibrationofsolidsubstratefermentationkineticmodelsusingadvancednonlinearprogrammingtechniques |
_version_ |
1718441762098249728 |