Progress curve analysis of qRT-PCR reactions using the logistic growth equation

2011 ◽  
Vol 27 (5) ◽  
pp. 1407-1414 ◽  
Author(s):  
Meile Liu ◽  
Claudia Udhe-Stone ◽  
Chetan T. Goudar
2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Muath Awadalla ◽  
Yves Yannick Yameni Noupoue ◽  
Kinda Abu Asbeh

This article studies modeling of a population growth by logistic equation when the population carrying capacity K tends to infinity. Results are obtained using fractional calculus theories. A fractional derivative known as psi-Caputo plays a substantial role in the study. We proved existence and uniqueness of the solution to the problem using the psi-Caputo fractional derivative. The Chinese population, whose carrying capacity, K, tends to infinity, is used as evidence to prove that the proposed approach is appropriate and performs better than the usual logistic growth equation for a population with a large carrying capacity. A psi-Caputo logistic model with the kernel function x + 1 performed the best as it minimized the error rate to 3.20% with a fractional order of derivative α  = 1.6455.


2000 ◽  
Vol 32 (2) ◽  
pp. 363-372 ◽  
Author(s):  
Dale K. Graybeal

AbstractA logistic growth equation with time and location varying parameters was used to model corn response to applied nitrogen. A nonlinear dummy-variable regression model provided a parsimonious representation of site and time effects on parameter values. The model was used to test for the equality of the mean marginal product of nitrogen fertilizer between locations on the coastal plain of North Carolina. Monte Carlo simulation and bootstrap simulation were used to construct finite sample covariance estimates. Results support rejection of the hypothesis that mean marginal products are equal when nitrogen is applied at 168 kg/ac. A comparison of bootstrapped errors and asymptotic errors suggests that results based on asymptotic theory are fairly reliable in this case.


1986 ◽  
Vol 155 (1) ◽  
pp. 38-44 ◽  
Author(s):  
Jamie I. Vandenberg ◽  
Philip W. Kuchel ◽  
Glenn K. King

2001 ◽  
Vol 67 (10) ◽  
pp. 4407-4413 ◽  
Author(s):  
Frédéric Leroy ◽  
Luc De Vuyst

ABSTRACT Although commercial MRS broth has been designed to allow excellent growth of lactobacilli, most of these bacteria are still subjected to a self-inhibiting process. The most likely explanation is the accumulation of lactic acid or other toxic end products and the depletion of nutrients. In this study, the self-inhibition ofLactobacillus sakei CTC 494 was analyzed in a kinetic way, and a nutrient depletion model was set up to describe the growth inhibition process. This simple model has considerable advantages compared to commonly used descriptive models such as the logistic growth equation. It offers a better fit and a more realistic description of the growth data by taking into account both growth inhibition due to lactic acid production and changes in growth rates due to nutrient depletion. Depending on the fermentation conditions, in MRS broth there appears to be a strong decrease of the specific growth rate over time. Some undefined compounds present in the complex nitrogen source of MRS broth appear to be of crucial importance because of their limited availability. Moreover, nutrient availability affects bacteriocin production through its effect on cell growth as well as on the bacteriocin production per cell. A plateau value for the bacteriocin production by L. sakei CTC 494 was observed.


1991 ◽  
Vol 24 (9) ◽  
pp. 1545-1552
Author(s):  
R. López ◽  
F. Cabré ◽  
R. Franco ◽  
M. Cascante ◽  
E. I. Canela

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