Study of a general growth model
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TLDR
In this paper, a general growth curve including several parameters, whose choice leads to a variety of models including the classical cases of Malthusian, Richards, Gompertz, Logistic and some their generalizations, is discussed.About:
This article is published in Communications in Nonlinear Science and Numerical Simulation.The article was published on 2022-04-01 and is currently open access. It has received 2 citations till now. The article focuses on the topics: Gompertz function & Growth curve (statistics).read more
Citations
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Mathematical Models for Population Growth with Variable Carrying Capacity: Analytical Solutions
TL;DR: In this article , a general population model with variable carrying capacity consisting of a coupled system of nonlinear ordinary differential equations is proposed, and a procedure for obtaining analytical solutions for three broad classes of models is provided.
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Fractality in tumor growth at the avascular stage from a generalization of the logistic-Gompertz dynamics
TL;DR: In this article , a generalization of the logistic-Gompertz dynamics is proposed to describe the dynamics between healthy and malignant cells at the avascular stage of growth.
References
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Analysis of logistic growth models
A. Tsoularis,James Wallace +1 more
TL;DR: A generalized form of the logistic growth curve is introduced which incorporates additional growth models which are markedly different from the Logistic growth and its variants, at least in their mathematical representation.
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A theory of growth
TL;DR: In this article, a generalized theory of growth is presented based upon three postulates, namely, growth rate is jointly proportional to a monotonic function of the generalized distance from the origin to present size (reproductive capability) and to a linear function (limiting factor).
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Hyperbolastic growth models: theory and application
TL;DR: A new family of growth models called hyperbolastic models are developed that predict the volumetric growth behavior of multicellular tumor spheroids with a high degree of accuracy and can be a valuable predictive tool in many areas of biomedical and epidemiological research.
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Parameter Estimation in a Gompertzian Stochastic Model for Tumor Growth
TL;DR: A stochastic version of the Gompertzian model that describes in vivo tumor growth and its sensitivity to treatment with antiangiogenic drugs is considered and an explicit likelihood function is obtained.