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Updated: Jun 22, 2026

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Published on: September 30, 2018
Robust parameter estimation during logistic modeling of batch and fed-batch culture kinetics
Chetan T Goudar1, Konstantinov B Konstantinov, James M Piret
1Cell Culture Development, Global Biologics Development, Bayer HealthCare, 800 Dwight Way, Berkeley, CA 94710, USA. chetan.goudar.b@bayer.com
This study presents a robust method for modeling mammalian cell cultures using logistic equations. The approach combines linearization with nonlinear optimization for accurate parameter estimation in batch and fed-batch cultures.
Area of Science:
- Biotechnology
- Bioprocess Engineering
- Mathematical Modeling
Background:
- Mammalian cell culture is crucial for biopharmaceutical production.
- Accurate modeling of cell growth dynamics is essential for process optimization.
- Existing logistic models can be sensitive to parameter variations.
Purpose of the Study:
- To develop a robust method for logistic modeling of batch and fed-batch mammalian cell cultures.
- To improve the accuracy and reliability of parameter estimation in cell culture models.
- To provide a simple, implementable approach for data analysis.
Main Methods:
- Derived linearized forms of logistic growth, decline, and generalized logistic equations.
- Utilized linear least squares for initial parameter estimation.
- Employed nonlinear optimization with three algorithms for refined parameter determination.
- Tested the approach on BHK, CHO, and hybridoma cells across various culture volumes (100 mL-300 L).
Main Results:
- Achieved solution convergence for all nonlinear optimization algorithms across all tested data sets.
- Demonstrated robust estimation of logistic parameters through linearization and nonlinear optimization.
- The method proved effective for diverse mammalian cell types and culture scales.
- Successfully modeled both batch and fed-batch culture data.
Conclusions:
- The combined linearization and nonlinear optimization approach offers robust parameter estimation for mammalian cell culture models.
- This method is simple and can be implemented in spreadsheets for practical application.
- The findings facilitate improved bioprocess monitoring and control for mammalian cell cultures.
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