Use of modified Richards model to predict isothermal and non-isothermal microbial growth

Teleken, Jhony Tiago; Galvão, Alessandro Cazonatto; Robazza, Weber da Silva

doi:10.1016/j.bjm.2018.01.005

Cited by 12 publications

(9 citation statements)

References 28 publications

(50 reference statements)

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“…This is a double-entry model and is well-established in forestry management for volume [22,25,51] and biomass estimates [19,52]. Although the Richards and Weibull models include biological interpretations, population dynamics, and growth over time [53][54][55], Campos and Leite [56] highlighted the Schumacher-Hall model results in less biased estimates.…”

Section: Discussionmentioning

confidence: 99%

Modeling Biomass and Nutrients in a Eucalyptus Stand in the Cerrado

Valadão

Carneiro

Ribeiro

et al. 2020

Forests

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The prediction of biological processes, which involve growth and plant development, is possible via the adjustment of mathematical models. In forest areas, these models assist in management practices, silviculture, harvesting, and soil fertility. Diameter, basal area, and height are predictors of volume and biomass estimates in forest stands. This study utilized different non-linear models for estimating biomass and nutrient values in the aerial biomass and roots of an unmanaged eucalypt stand in Cerrado dystrophic soil. It was hypothesized that the models would estimate the nutrients of the aboveground biomass and roots after meeting the selection and validation criteria. By statistical analysis of the parameters and subsequent validation, the Schumacher–Hall model was presented to be the best fit for biomass and nutrients. This result confirmed the ability of different variables, including diameter, basal area, and height, to be predicted. Estimating the nutrient values in the aboveground biomass and roots allowed a better understanding of the quality of the vegetal residues that remained in the soil. For dystrophic soils, which occur in the Cerrado, these estimates become even more relevant.

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Section: Discussionmentioning

confidence: 99%

Modeling Biomass and Nutrients in a Eucalyptus Stand in the Cerrado

Valadão

Carneiro

Ribeiro

et al. 2020

Forests

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“…Observam-se valores de BF e AF próximos a 1 nos procedimentos de validação isotérmica. Comparando os índices obtidos neste trabalho com a literatura, é possível observar que o modelo descreveu satisfatoriamente o crescimento fúngico em polpa de abacaxi, demonstrando alta concordância com os dados experimentais e estando em concordância com a faixa aceitável encontrada por outros autores na literatura em estudos isotérmicos (Teleken et al, 2018;Silva et al, 2013Silva et al, , 2017.…”

Section: Validação Do Modelo Cinéticounclassified

Modelagem e simulação do crescimento de Talaromyces flavus em abacaxi: uma integração entre modelos cinéticos e de fenômenos de transporte

Müller

Silva

2019

Braz. J. Food Technol.

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Resumo O estudo da dinâmica de crescimento de microrganismos em alimentos é de vital importância para a extensão da vida de prateleira desses produtos. No presente trabalho, um modelo de cinética microbiológica descrevendo o crescimento de Talaromyces flavus em abacaxi foi integrado com um modelo térmico. O modelo integrado foi utilizado para simular a shelf life do produto em processos de aquecimento. Os experimentos cinéticos foram realizados em 4 temperaturas distintas (de 20 °C a 35 °C) e índices estatísticos foram empregados para a seleção dos melhores modelos primários e secundários. O modelo térmico baseou-se na solução analítica da equação da difusão de calor para placas planas e cilindros infinitos. Observou-se que o modelo de Gompertz modificado (BF=1,003, AF=1,049, RSS=3,687 e RMSE=1,286), juntamente com os modelos de raiz quadrada estendida (BF=0,999, AF=1,012 e RSS=0,2684) e polinomial de ordem 2 (BF=0,991, AF=1,011, RSS=0,006 e RMSE=0,078) foram os modelos mais satisfatórios. O modelo cinético foi validado em condições estáticas e dinâmicas de temperatura (em dois cenários distintos) para assegurar que pudesse ser integrado com as equações de transferência de calor. As simulações demonstraram acréscimo de 23,3% na vida de prateleira com o aumento do comprimento do produto (de 2 para 30 cm) e acréscimo de 88,2% com diminuição da temperatura do ar ambiente (de 34 °C para 22 °C). Efeitos menos pronunciados foram obtidos variando o diâmetro do produto e a velocidade do ar ambiente.

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“…The Baranyi and Robert model provides biological interpretations for lag phases through physiological state parameters (Baranyi and Robert, 1995). Because the Baranyi and Robert model can illustrate a few external factors related to the growth of microorganisms through physiological state parameters for the lag phase, this model is often called a semimechanistic model, even some scientist classify it into the mechanistic model (Teleken et al, 2018).…”

Section: Baranyi and Robert Modelmentioning

confidence: 99%

“…In the fermentation and controlling microorganisms field, to determine the status of bacterial populations, sampling every time have not to be done. This can provide efficiency of time, effort and cost (Teleken et al, 2018). The mathematical model is one of the tools for predicting bacterial population, both in the scope of fermentation and also the shelf life and distribution of product.…”

Section: Introductionmentioning

confidence: 99%

Prediction of Microbial Population in Sorghum Fermentation through Mathematical Models

Laila

Nurhayati

Utami

et al. 2019

Reaktor

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The mathematical models can be used as a tool in predicting microbial population in sorghum fermentation, either spontaneous fermentation or fermentation with the addition of lactic acid bacteria (LAB) inoculum. Gompertz model modified by Gibson, Gompertz model modified by Zwietering, Baranyi-Robert model, Fujikawa model, Richards model, Schnute model were used in predicting the growth of lactic acid bacteria (LAB) and coliform bacteria during spontaneous fermentation, and also the growth of LAB during fermentation with the addition of inoculum. Meanwhile, there was death (inactivation) of coliform bacteria during sorghum fermentation with the addition of LAB inoculum. The Geeraerd model and the Gompertz model modified by Gil et al. were used to predict the inactivation. The accuracy and precision of models were evaluated based on the Root Mean of Sum Square Error (RMSE), coefficient of determination (R2), and curve fitting. Gompertz model modified by Gibson had the highest accuracy and precision, which was followed by the accuracy of the Fujikawa model and Baranyi-Robert model in predicting the growth of LAB and the growth of coliform bacteria during spontaneous fermentation. Meanwhile, in predicting LAB growth during fermentation with the addition of inoculum, high accuracy and precision was obtained from Richards and Schnute models. In predicting the inactivation of coliform bacteria, Geeraerd model provided higher accuracy and precision compared to Gompertz model modified by Gil et al. Keywords: fermentation; inoculum; mathematical; model; sorghum; spontaneous

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Use of modified Richards model to predict isothermal and non-isothermal microbial growth

Cited by 12 publications

References 28 publications

Modeling Biomass and Nutrients in a Eucalyptus Stand in the Cerrado

Modeling Biomass and Nutrients in a Eucalyptus Stand in the Cerrado

Modelagem e simulação do crescimento de Talaromyces flavus em abacaxi: uma integração entre modelos cinéticos e de fenômenos de transporte

Prediction of Microbial Population in Sorghum Fermentation through Mathematical Models

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