<p>Consolidated bioprocessing (CBP) combines enzyme production, biomass hydrolysis, and fermentation within a single process, but its modeling remains difficult because of biological nonlinearities, feedstock heterogeneity, and limited time-resolved measurements. This paper presents an endpoint-guided grey-box framework that connects data-driven endpoint prediction, phase-structured mechanistic reconstruction, and synthetic state-estimation analysis. A literature-derived CBP ethanol dataset containing 540 runs and 90 encoded input features was preprocessed using out-of-fold residual screening, after which several nonlinear regressors were compared using both log-transformed and raw endpoint targets. Repeated cross-validation selected a raw-target XGBoost model, <Emphasis FontCategory="NonProportional">XGB_raw</Emphasis>, as the final endpoint surrogate, with RMSE <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(=1.566 \pm 0.465\)</EquationSource> </InlineEquation>. The independent hold-out subset favored histogram-based gradient boosting models, indicating that the leading boosting-based models were closely matched. For <Emphasis FontCategory="NonProportional">XGB_raw</Emphasis>, hold-out performance improved after residual screening from RMSE <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(=7.491\)</EquationSource> </InlineEquation>, MAE <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(=2.798\)</EquationSource> </InlineEquation>, and <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(R^2=0.821\)</EquationSource> </InlineEquation> to RMSE <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(=2.025\)</EquationSource> </InlineEquation>, MAE <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(=1.253\)</EquationSource> </InlineEquation>, and <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(R^2=0.940\)</EquationSource> </InlineEquation>. Feature-attribution analysis identified hemicellulose content, substrate concentration, temperature, residence time, enzyme-assisted pretreatment, pH, cellulose content, and mixing rate as important endpoint predictors. The selected endpoint surrogate was then coupled to a three-phase hybrid simulator representing enzyme production, hydrolysis, and fermentation. Endpoint-guided calibration identified biologically plausible parameterizations that reproduced the target endpoint through moderate changes in growth, enzyme production, hydrolytic capacity, and product formation. Because independent time-resolved CBP trajectories were unavailable, the simulated profiles are interpreted as endpoint-constrained reconstructions rather than validated kinetic trajectories. A synthetic unscented Kalman filter study showed accurate reconstruction of sugar and scaled-product states, with lower-fidelity recovery of enzyme dynamics. Overall, the framework provides a feasibility-oriented basis for CBP endpoint prediction, mechanistic interpretation, and preliminary soft-sensing design under sparse-data conditions.</p>

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Grey-box modeling framework for consolidated bioprocessing systems: an endpoint-guided approach

  • Mark Korang Yeboah,
  • Dirk Söffker

摘要

Consolidated bioprocessing (CBP) combines enzyme production, biomass hydrolysis, and fermentation within a single process, but its modeling remains difficult because of biological nonlinearities, feedstock heterogeneity, and limited time-resolved measurements. This paper presents an endpoint-guided grey-box framework that connects data-driven endpoint prediction, phase-structured mechanistic reconstruction, and synthetic state-estimation analysis. A literature-derived CBP ethanol dataset containing 540 runs and 90 encoded input features was preprocessed using out-of-fold residual screening, after which several nonlinear regressors were compared using both log-transformed and raw endpoint targets. Repeated cross-validation selected a raw-target XGBoost model, XGB_raw, as the final endpoint surrogate, with RMSE \(=1.566 \pm 0.465\) . The independent hold-out subset favored histogram-based gradient boosting models, indicating that the leading boosting-based models were closely matched. For XGB_raw, hold-out performance improved after residual screening from RMSE \(=7.491\) , MAE \(=2.798\) , and \(R^2=0.821\) to RMSE \(=2.025\) , MAE \(=1.253\) , and \(R^2=0.940\) . Feature-attribution analysis identified hemicellulose content, substrate concentration, temperature, residence time, enzyme-assisted pretreatment, pH, cellulose content, and mixing rate as important endpoint predictors. The selected endpoint surrogate was then coupled to a three-phase hybrid simulator representing enzyme production, hydrolysis, and fermentation. Endpoint-guided calibration identified biologically plausible parameterizations that reproduced the target endpoint through moderate changes in growth, enzyme production, hydrolytic capacity, and product formation. Because independent time-resolved CBP trajectories were unavailable, the simulated profiles are interpreted as endpoint-constrained reconstructions rather than validated kinetic trajectories. A synthetic unscented Kalman filter study showed accurate reconstruction of sugar and scaled-product states, with lower-fidelity recovery of enzyme dynamics. Overall, the framework provides a feasibility-oriented basis for CBP endpoint prediction, mechanistic interpretation, and preliminary soft-sensing design under sparse-data conditions.