A microbial growth kinetics model driven by hybrid stochastic colored noises in the water environment

Dong, Hanwu; He, Li; Lu, Hongwei; Li, Jing

doi:10.1007/s00477-016-1282-y

Cited by 6 publications

(2 citation statements)

References 47 publications

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“…The four-parameter Gompertz model, also known as the modified Gompertz model, is a basic model of the pathogen modeling program and food microbiology model developed by the US Department of Agriculture and the Department of Agriculture, Fisheries and Food of the United Kingdom, respectively. − The expression is shown in eq as follows where N t is the number of microorganisms at time t , A is the asymptotic value that decreases infinitely with time (equivalent to the initial bacterial count), and C is the increment in the number of bacteria when the time increases indefinitely, that is, the difference between the initial number of bacteria and the maximum number of bacteria, μ max is the maximum specific growth rate, and λ is the period of slow microbial growth.…”

Section: Methodsmentioning

confidence: 99%

Growth Kinetics of Bacillus pasteurii in Solid-Free Drilling Fluids

Zhao

Chen

et al. 2021

ACS Omega

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A broken stratum is a complex stratum often encountered during drilling. Under erosion of the drilling fluid and disturbance of the drill pipe string, the rock in the well wall of the broken stratum is prone to collapsing and falling off, causing the well wall to lose its stability. Improving the cementing force between the broken blocks and forming a complete well wall are essential for overcoming this instability. The present study combined microbially induced calcite precipitation technology with solid-free drilling fluid technology for the first time to formulate a drilling fluid to overcome the instability of the well wall of a broken stratum. However, first and foremost, the growth of microorganisms in drilling fluids must be elucidated. To this end, experimental and theoretical analyses were performed to examine Bacillus pasteurii growth in drilling fluids composed of a single agent or combinations of various materials, such as a zwitterionic coating agent (FA367), a biopolymer (XC), a polyacrylate polymer (PAC-LV), and potassium polyacrylate (K-PAM). Experimental B. pasteurii growth data were then fitted using a modified Gompertz model. The mean square error indicated that the generated model had a reasonable degree of fit, and the bias and accuracy factors showed that the model could predict B. pasteurii growth. Among the different drilling fluid combinations used, suitable fluids for B. pasteurii growth were XC alone, XC, and PAC-LV in the two-material-based fluid and FA367, XC, and K-PAM in the three-material-based fluid. These results provide a solid foundation for the development of microbial drilling fluids to solve instability problems in broken geological formations.

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Section: Methodsmentioning

confidence: 99%

Growth Kinetics of Bacillus pasteurii in Solid-Free Drilling Fluids

Zhao

Chen

et al. 2021

ACS Omega

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“…Therefore, it is important to model noise with certain correlation time. Coloured noise Specific responses of systems to coloured noises have been found and studied in different branches of natural science, for example, in biochemistry [18], lasers [19,20], volcanic dynamics [21], seismic activity [22], population dynamics [23,24], microbiology [25] and cancer dynamics [26].…”

Section: Introductionmentioning

confidence: 99%

Coloured-noise-induced transport in a model of the thermochemical reactor

Ryashko

Pisarchik

2022

Phil. Trans. R. Soc. A.

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In this paper, effects of coloured noise on the stochastic excitement in a model of the thermochemical flow reactor are studied. Transport phenomena associated with noise-induced generation of large-amplitude oscillations are investigated depending on the correlation time of coloured noise. We study how probability of the noise-induced excitement is related to the stochastic sensitivity of the system to coloured noise with certain correlation characteristics. Parameter zones of the high stochastic sensitivity are found and discussed in connection with occurrence of resonance. This article is part of the theme issue ‘Transport phenomena in complex systems (part 2)’.

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Human health risk constrained naphthalene-contaminated groundwater remediation management through an improved credibility method

Fan

et al. 2017

Environ Sci Pollut Res

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In this study, a human health risk constrained groundwater remediation management program based on the improved credibility is developed for naphthalene contamination. The program integrates simulation, multivariate regression analysis, health risk assessment, uncertainty analysis, and nonlinear optimization into a general framework. The improved credibility-based optimization model for groundwater remediation management with consideration of human health risk (ICOM-HHR) is capable of not only effectively addressing parameter uncertainties and risk-exceeding possibility in human health risk but also providing a credibility level that indicates the satisfaction of the optimal groundwater remediation strategies with multiple contributions of possibility and necessity. The capabilities and effectiveness of ICOM-HHR are illustrated through a real-world case study in Anhui Province, China. Results indicate that the ICOM-HHR would generate double remediation cost yet reduce approximately 10 times of the naphthalene concentrations at monitoring wells, i.e., mostly less than 1 μg/L, which implies that the ICOM-HHR usually results in better environmental and health risk benefits. And it is acceptable to obtain a better environmental quality and a lower health risk level with sacrificing a certain economic benefit.

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A microbial growth kinetics model driven by hybrid stochastic colored noises in the water environment

Cited by 6 publications

References 47 publications

Growth Kinetics of Bacillus pasteurii in Solid-Free Drilling Fluids

Growth Kinetics of Bacillus pasteurii in Solid-Free Drilling Fluids

Coloured-noise-induced transport in a model of the thermochemical reactor

Human health risk constrained naphthalene-contaminated groundwater remediation management through an improved credibility method

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