A Biological Growth Model using Continued Fraction of Straight Lines

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A Biological Growth Model using Continued Fraction of Straight Lines

Authors

S, S. I.; S, V. P.

Abstract

S-shaped curves are ubiquitous in biology especially when it comes to growth of a population or even an individual. Growth models such as the classical Verhulst-Pearl logistic growth equation and its extensions effectively model such S-shaped growth curves. Most of these models are parametrised by three or more parameters. In this work, continued fraction of straight lines has been applied to model S-shaped curves of biological growth through the use of only two parameters \'a\' and \'m\'. Here, \'m\' is the maximum growth rate and \'a\' is the parameter restricting the growth rate. The parameters \'a\' and \'m\' help to better interpret the data when compared to the logistic growth model since \'m\' represents factors promoting growth while \'a\' represents the constraints on growth. This model is effective for modeling both population as well as individual growth, especially around the phase of rapid growth.

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