A classification in universality classes of broad categories of phenomenologies, belonging to physics and other disciplines, may be very useful for a cross fertilization among them and for the purpose of pattern recognition and interpretation of experimental data. We present here a simple scheme for the classification of nonlinear growth problems. The success of the scheme in predicting and cha...

The main objective of this research is non-linear modeling of growth curve during kefir grains batch propagation. For this purpose some laboratory experiments were performed in an RC1 reactor provided data for growth curve construction. Afterwards, we fitted several growth models (Logistic, Gompertz and Richards) and compared their biological parameters. Finally, we established the statisticall...

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...

Despite internal complexity, tumor growth kinetics follow relatively simple laws that can be expressed as mathematical models. To explore this further, quantitative analysis of the most classical of these were performed. The models were assessed against data from two in vivo experimental systems: an ectopic syngeneic tumor (Lewis lung carcinoma) and an orthotopically xenografted human breast ca...

In this study, in vitro gas production values (hour/ml) of standard, alfalfa and corn plants at 3, 6, 9, 12, 24, 36, 48, 72 96 hours Kahramanmaras Sutcu Imam University Animal Science Department Feeds Nutrition Laboratory. ) used cubic piecewise regression, Richard, Logistics, Gamma, Gompertz, Orscov, Sigmoaidal Quadratic Piecewise Regression models were used. the modeling mean squares error, d...

We developed a series of models for the label decay in cell proliferation assays when the intracellular dye carboxyfluorescein succinimidyl ester (CFSE) is used as a staining agent. Data collected from two healthy patients were used to validate the models and to compare the models with the Akiake Information Criteria. The distinguishing features of multiple decay rates in the data are readily c...

this study compared the use of five different models to describe the growth from birth to 20 weeks of age of kids from both genders of nondescript goats. fifty nine (59) nondescript kids were weighed weekly at the university of maiduguri livestock teaching and research farm, nigeria and the live weights were modeled. biologically relevant variables were estimated for each kid from the logistic,...

Verhulst logistic curve either grows OR decays, depending on the growth rate parameter value. A similar situation is found in the Gompertz law about human mortality. However, growth can neither be infinite nor reach a finite steady state at an infinite asymptotic time. Moreover before some decay, some growth must have occurred. For example, some levelling-off could occur at finite time, followe...