Analytical solution for a hybrid Logistic‐Monod cell growth model in batch and continuous stirred tank reactor culture

Xu, Peng

Analytical solution for a hybrid Logistic‐Monod cell growth model in batch and continuous stirred tank reactor culture

dc.contributor.author	Xu, Peng
dc.date.accessioned	2020-08-17T18:21:33Z
dc.date.available	2020-08-17T18:21:33Z
dc.date.issued	2019-11-23
dc.description.abstract	Monod and Logistic growth models have been widely used as basic equations to describe cell growth in bioprocess engineering. In the case of the Monod equation, the specific growth rate is governed by a limiting nutrient, with the mathematical form similar to the Michaelis–Menten equation. In the case of the Logistic equation, the specific growth rate is determined by the carrying capacity of the system, which could be growth‐inhibiting factors (i.e., toxic chemical accumulation) other than the nutrient level. Both equations have been found valuable to guide us build unstructured kinetic models to analyze the fermentation process and understand cell physiology. In this work, we present a hybrid Logistic‐Monod growth model, which accounts for multiple growth‐dependent factors including both the limiting nutrient and the carrying capacity of the system. Coupled with substrate consumption and yield coefficient, we present the analytical solutions for this hybrid Logistic‐Monod model in both batch and continuous stirred tank reactor (CSTR) culture. Under high biomass yield (Yx/s) conditions, the analytical solution for this hybrid model is approaching to the Logistic equation; under low biomass yield condition, the analytical solution for this hybrid model converges to the Monod equation. This hybrid Logistic‐Monod equation represents the cell growth transition from substrate‐limiting condition to growth‐inhibiting condition, which could be adopted to accurately describe the multi‐phases of cell growth and may facilitate kinetic model construction, bioprocess optimization, and scale‐up in industrial biotechnology	en_US
dc.description.sponsorship	Peng Xu would like to acknowledge the Bill and Melinda Gates Foundation (OPP1188443) and National Science Foundation under grant number 1805139 for financially supporting this project. Peng Xu would also like to thank the previous mentors that may allow himself to dive into the classical biochemical engineering arena.	en_US
dc.description.uri	https://onlinelibrary.wiley.com/doi/full/10.1002/bit.27230	en_US
dc.format.extent	7 pages	en_US
dc.genre	journal articles	en_US
dc.identifier	doi:10.13016/m2oxsx-tecw
dc.identifier.citation	Peng Xu, Analytical solution for a hybrid Logistic‐Monod cell growth model in batch and continuous stirred tank reactor culture, Biotechnology and Bioengineering, Volume 117, Issue 3, Pages 873-878 (2020), https://doi.org/10.1002/bit.27230	en_US
dc.identifier.uri	https://doi.org/10.1002/bit.27230
dc.identifier.uri	http://hdl.handle.net/11603/19447
dc.language.iso	en_US	en_US
dc.publisher	Wiley	en_US
dc.relation.isAvailableAt	The University of Maryland, Baltimore County (UMBC)
dc.relation.ispartof	UMBC Chemical, Biochemical & Environmental Engineering Department Collection
dc.relation.ispartof	UMBC Faculty Collection
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dc.rights	Attribution 4.0 International	*
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/	*
dc.title	Analytical solution for a hybrid Logistic‐Monod cell growth model in batch and continuous stirred tank reactor culture	en_US
dc.type	Text	en_US