The objective of this study was to develop a new kinetic model to describe the isothermal growth of microorganisms. The new model was tested with Listeria monocytogenes in tryptic soy broth and frankfurters, and compared with 2 commonly used models-Baranyi and modified Gompertz models. Bias factor (BF), accuracy factor (AF), and root mean square errors (RMSE) were used to evaluate the 3 models....

Several sigmoidal functions (logistic, Gompertz, Richards, Schnute, and Stannard) were compared to describe a bacterial growth curve. They were compared statistically by using the model of Schnute, which is a comprehensive model, encompassing all other models. The t test and the F test were used. With the t test, confidence intervals for parameters can be calculated and can be used to distingui...

This study was conducted to investigate the effect of tofu wastewater (TW) addition to the growth medium on the growth of Spirulina platensis. The TW addition was varied in range of 0 – 8 %v/v. The results showed that the growth rate (μ) of S. platensis at TW addition of 0, 2, 4, 6, 8 %v/v was 0.007, 0.084, 0.074, 0.088, 0.086 mg/L/d, respectively. The medium with TW content of 6 %v/v (carbon:n...

This study was conducted to compare some nonlinear functions to describe the broiler growth curve of the Cobb500 strain. A flock of fifty one-day-old chicks were randomly selected from a henhouse of 2500 chicks. Our goal was to establish a growth curve using weighting data using mathematical solutions of time-dependent differential functions. In total, six equations were subjected to a statisti...

In this paper, we develop methods for inferring tumor growth rates from the observation of tumor volumes at two time points. We fit power law, exponential, Gompertz, and Spratt’s generalized logistic model to five data sets. Though the data sets are small and there are biases due to the way the samples were ascertained, there is a clear sign of exponential growth for the breast and liver cancer...

The tambaqui, Colossoma macropomum, is one of the most commercially valuable Amazonian fish species, and in the floodplains of the region, they are caught in both rivers and lakes. Most growth studies on this species to date have adjusted only one growth model, the von Bertalanffy, without considering its possible uncertainties. In this study, four different models (von Bertalanffy, Logistic, G...

M ost predictions of growth are based on some mathematical model of the growth process, two kinds of which can be distinguished: (1) the transformed coordinate method of D’Arcy Thompson,Z5 applied to human growth by MedawaPg and to craniofacial growth by Moorrees and Lebret,2z and (2) equations producing curves descriptive of processes--some intended to be of general application (for example, G...

Logistic and Gompertz growth equations are the usual choice to model sustainable immoderate causing depletion of resources, respectively. Observing that logistic distribution is geo-max-stable function proportional Gumbel max-stable distribution, we investigate other models either distributions (log-logistic backward log-logistic) or (Fréchet max-Weibull). We show former arise when in hyper-log...