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Abstract
Substrate inhibition in lactic acid bacteria (LAB) fermentation occurs when substrate concentration exceeds a critical value, leading to reduced cell growth and thus inefficient lactic acid production. Many efforts, including experimental and kinetic models, have been devoted to elucidate the possible mechanisms of substrate inhibition. However, the molecular and physiological basis of this phenomenon remains incompletely characterized. In this study, we propose a mechanistic two-pathway model that integrates a substrate-responsive molecular regulatory pathway into the typical substrate assimilation and microbial growth pathway. Our modeling analysis captures a global growth dynamics, including lag, exponential, and stationary phases over a wide range of initial substrate concentrations, with one set of parameters. Consequently, the results exhibit a significantly prolonged lag phase at high initial substrate concentrations. We test this model framework by combining the model results with the published experimental data of LAB batch fermentation such as Lactobacillus bulgaricus, Lactobacillus casei, and Lactiplantibacillus plantarum on lactose, demonstrating its universality beyond specific substrate-strain systems. Furthermore, the model simulations show that an appropriate preculture treatment for modulating the inoculum's physiological state of the population could be a possible approach to cope with the challenge of substrate inhibition at high-substrate environments. Finally, the model predictions of optimal microbial growth dynamics are investigated from various inoculum sizes. The proposed modeling approach provides novel insights into the connection between microbial fermentation and substrate supply, facilitating efficient substrate utilization in bioprocess engineering.
Keywords
inoculum size
/
lactic acid bacteria
/
lag phase
/
physiological state
/
substrate inhibition
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Guoxi Zheng, Junwen Mao.
Mechanistic two-pathway modeling of substrate inhibition in lactic acid bacteria for enhanced fermentation control.
Quant. Biol., 2026, 14(1): e70019 DOI:10.1002/qub2.70019
| [1] |
Abdel-Rahman MA , Tashiro Y , Sonomoto K . Recent advances in lactic acid production by microbial fermentation processes. Biotechnol Adv. 2013; 31 (6): 877- 902.
|
| [2] |
Abdel-Rahman MA , Sonomoto K . Opportunities to overcome the current limitations and challenges for efficient microbial production of optically pure lactic acid. J Biotechnol. 2016; 236: 176- 92.
|
| [3] |
Rawoof SAA , Kumar PS , Vo DVN , Devaraj K , Mani Y , Devaraj T , et al. Production of optically pure lactic acid by microbial fermentation: a review. Environ Chem Lett. 2021; 19 (1): 539- 56.
|
| [4] |
Ojo AO , de Smidt O . Lactic acid: a comprehensive review of production to purification. Processes. 2023; 11 (3): 688.
|
| [5] |
Mulchandani A , Luong JHT . Microbial inhibition kinetics revisited. Enzym Microb Technol. 1989; 11 (2): 66- 73.
|
| [6] |
Tan Y , Wang Z-X , Marshall KC . Modeling substrate inhibition of microbial growth. Biotechnol Bioeng. 1996; 52 (5): 602- 8.
|
| [7] |
Edwards VH . The influence of high substrate concentrations on microbial kinetics. Biotechnol Bioeng. 1970; 12 (5): 679- 712.
|
| [8] |
Panikov NS . Kinetics, microbial growth. In:In encyclopedia of bioprocess technology:fermentation, biocatalysis and bioseparation. Nauka; 1991.
|
| [9] |
Andrews JF . A mathematical model for the continuous culture of microorganisms utilizing inhibitory substrates. Biotechnol Bioeng. 1968; 10 (6): 707- 23.
|
| [10] |
Kim DJ , Choi JW , Choi NC , Mahendran B , Lee CE . Modeling of growth kinetics for Pseudomonas spp. during benzene degradation. Appl Microbiol Biotechnol. 2005; 69 (4): 456- 62.
|
| [11] |
Hill GA , Robinson CW . Substrate inhibition kinetics:phenol degradation by Pseudomonas putida. Biotechnol Bioeng. 1975; 17 (11): 1599- 615.
|
| [12] |
Panikov NS . Microbial growth kinetics:Chapman & Hall; 1995.
|
| [13] |
Luong JHT . Generalization of monod kinetics for analysis of growth data with substrate inhibition. Biotechnol Bioeng. 1987; 29 (2): 242- 8.
|
| [14] |
Goudar CT , Ganji SH , Pujar BG , Strevett KA . Substrate inhibition kinetics of phenol biodegradation. Water Environ Res. 2000; 72 (1): 50- 5.
|
| [15] |
Adkar BV , Manhart M , Bhattacharyya S , Tian J , Musharbash M , Shakhnovich EI . Optimization of lag phase shapes the evolution of a bacterial enzyme. Nat Ecol Evolution. 2017; 1 (6): 0149.
|
| [16] |
Himeoka Y , Kaneko K . Theory for transitions between exponential and stationary phases:universal laws for lag time. Phys Rev X. 2017; 7 (2): 021049.
|
| [17] |
Schultz D , Kishony R . Optimization and control in bacterial lag phase. BMC Biol. 2013; 11: 1- 3.
|
| [18] |
Lopatkin AJ , Collins JJ . Predictive biology:modelling, understanding and harnessing microbial complexity. Nat Rev Microbiol. 2020; 18 (9): 507- 20.
|
| [19] |
Allen RJ , Waclaw B . Bacterial growth: a statistical physicist's guide. Rep Prog Phys. 2018; 82 (1): 016601.
|
| [20] |
Bertrand RL . Lag phase is a dynamic, organized, adaptive, and evolvable period that prepares bacteria for cell division. J Bacteriol. 2019; 201 (7): 697- 718.
|
| [21] |
Rolfe MD , Rice CJ , Lucchini S , Pin C , Thompson A , Cameron ADS , et al. Lag phase is a distinct growth phase that prepares bacteria for exponential growth and involves transient metal accumulation. J Bacteriol. 2012; 194 (3): 686- 701.
|
| [22] |
Ginovart M , Carbó R , Portell X . Adaptation of Saccharomyces to high glucose concentrations and its impact on growth kinetics of alcoholic fermentations. Microorganisms. 2024; 12 (7): 1449.
|
| [23] |
van der Pol EC , Eggink G , Weusthuis RA . Production of L(+)-lactic acid from acid pretreated sugarcane bagasse using Bacillus coagulans DSM2314 in a simultaneous saccharification and fermentation strategy. Biotechnol Biofuels. 2016; 9: 1- 12.
|
| [24] |
Brückner R , Titgemeyer F . Carbon catabolite repression in bacteria:choice of the carbon source and autoregulatory limitation of sugar utilization. FEMS Microbiol Lett. 2002; 209 (2): 141- 8.
|
| [25] |
Klumpp S , Hwa T . Bacterial growth:global effects on gene expression, growth feedback and proteome partition. Curr Opin Biotechnol. 2014; 28: 96- 102.
|
| [26] |
Maier RM , Pepper IL . Bacterial growth. In:Environmental microbiology. 3th ed:Elsevier; 2015.
|
| [27] |
Mao J , Blanchard AE , Lu T . Slow and steady wins the race: a bacterial exploitative competition strategy in fluctuating environments. ACS Synth Biol. 2015; 4 (3): 240- 8.
|
| [28] |
Venkatesh KV , Okos MR , Wankat PC . Kinetic model of growth and lactic acid production from lactose by Lactobacillus bulgaricus. Process Biochem. 1993; 28 (4): 231- 41.
|
| [29] |
Nath A , Datta S , Chowdhury R , Bhattacharjee C . Fermentative production of intracellular β-galactosidase by Bacillus safensis (JUCHE 1) growing on lactose and glucose-Modeling and experimental. Biocatal Agric Biotechnol. 2014; 3 (4): 246- 58.
|
| [30] |
Xu Z , Li C , Ye Y , Wang T , Zhang S , Liu X . The β-galactosidase LacLM plays the major role in lactose utilization of Lactiplantibacillus plantarum. LWT. 2022; 153: 112481.
|
| [31] |
Hakkı Boyacı İ , Baş D , Ceyda Dudak F , Topçu A , Saldamlı İ , Özgür Şafak Şeker U , et al. Statistical modeling of β-galactosidase inhibition during lactose hydrolysis. Food Biotechnol. 2006; 20: 79- 91.
|
| [32] |
Nath A , Mondal S , Chakraborty S , Bhattacharjee C , Chowdhury R . Production, purification, characterization, immobilization, and application of β-galactosidase: a review. Asia Pac J Chem Eng. 2014; 9 (3): 330- 48.
|
| [33] |
Zheleva P , Vasileva T , Mandadzhieva T , Ivanova I , Iliev I . Influence of lactose concentration on the α-galactosidase and β-galactosidase activity of Lactobacillus plantarum. Bulg. J. Agric. Sci. 2014; 20: 62- 5.
|
| [34] |
Monod J . The growth of bacterial cultures. Annu Rev Microbiol. 1949; 3 (1): 371- 94.
|
| [35] |
Baranyi J , Roberts TA . A dynamic approach to predicting bacterial growth in food. Int J Food Microbiol. 1994; 23 (3-4): 277- 94.
|
| [36] |
Ram Y , Dellus-Gur E , Bibi M , Karkare K , Obolski U , Feldman MW , et al. Predicting microbial growth in a mixed culture from growth curve data. Proc Natl Acad Sci USA. 2019; 116 (29): 14698- 707.
|
| [37] |
Madar D , Dekel E , Bren A , Zimmer A , Porat Z , Alon U . Promoter activity dynamics in the lag phase of Escherichia coli. BMC Syst Biol. 2013; 7: 1- 13.
|
| [38] |
Dykhuizen DE , Dean AM , Hartl DL . Metabolic flux and fitness. Genetics. 1987; 115 (1): 25- 31.
|
| [39] |
Burgos-Rubio CN , Okos MR , Wankat PC . Kinetic study of the conversion of different substrates to lactic acid using Lactobacillus bulgaricus. Biotechnol Prog. 2000; 16 (3): 305- 14.
|
| [40] |
Altıok D , Tokatlı F , Harsa Ş . Kinetic modelling of lactic acid production from whey by Lactobacillus casei (NRRLB-441). J Chem Tech Biotechnol. 2006; 81 (7): 1190- 7.
|
| [41] |
Thatipamala R , Rohani S , Hill GA . Effects of high product and substrate inhibitions on the kinetics and biomass and product yields during ethanol batch fermentation. Biotechnol Bioeng. 1992; 40 (2): 289- 97.
|
| [42] |
Fu W , Mathews AP . Lactic acid production from lactose by Lactobacillus plantarum:kinetic model and effects of pH, substrate, and oxygen. Biochem Eng J. 1999; 3: 163- 70.
|
| [43] |
Lin SKC , Du C , Koutinas A , Wang R , Webb C . Substrate and product inhibition kinetics in succinic acid production by actinobacillus succinogenes. Biochem Eng J. 2008; 41 (2): 128- 35.
|
| [44] |
Lorántfy B , Johanson A , Faria-Oliveira F , Franzén CJ , Mapelli V , Olsson L . Presence of galactose in precultures induces lacS and leads to short lag phase in lactose-grown Lactococcus lactis cultures. J Ind Microbiol Biotechnol. 2019; 46 (1): 33- 43.
|
| [45] |
Basan M , Honda T , Christodoulou D , Hörl M , Chang Y-F , Leoncini E , et al. A universal trade-off between growth and lag in fluctuating environments. Nature. 2020; 584 (7821): 470- 4.
|
| [46] |
Pirt SJ . Maintenance energy: a general model for energy-limited and energy-sufficient growth. Arch Microbiol. 1982; 133 (4): 300- 2.
|
| [47] |
Chen F , Johns MR . Relationship between substrate inhibition and maintenance energy of Chlamydomonas reinhardtii in heterotrophic culture. J Appl Phycol. 1996; 8 (1): 15- 9.
|
| [48] |
Berrios J , Theron CW , Steels S , Ponce B , Velastegui E , Bustos C , et al. Role of dissimilative pathway of Komagataella phaffii (Pichia pastoris):formaldehyde toxicity and energy metabolism. Microorganisms. 2022; 10 (7): 1466.
|
| [49] |
Gordeeva YL , Rudakovskaya EG , Gordeeva EL , Borodkin AG . Mathematical modeling of biotechnological process of lactic acid production by batch fermentation: a review. Theor Found Chem Eng. 2017; 51 (3): 282- 98.
|
| [50] |
Popova-Krumova P , Danova S , Atanasova N , Yankov D . Lactic acid production by Lactiplantibacillus plantarum AC 11S-kinetics and modeling. Microorganisms. 2024; 12 (4): 739.
|
| [51] |
Alvarez MM , Aguirre-Ezkauriatza EJ , Ramírez-Medrano A , Rodríguez-Sánchez Á . Kinetic analysis and mathematical modeling of growth and lactic acid production of Lactobacillus casei var. rhamnosus in milk whey. J Dairy Sci. 2010; 93 (12): 5552- 60.
|
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The Author(s). Quantitative Biology published by John Wiley & Sons Australia, Ltd on behalf of Higher Education Press.