On the Gompertz limit of the monotonic neoclassical growth model

Peter Vadasz, Alisa S. Vadasz

Research output: Contribution to journalArticle

Abstract

The burden of proof of any theory aiming to represent a physical or biological reality by demonstrating its unifying properties is applied in the present paper in relation to the Neoclassical growth model and its ability to reproduce Gompertz growth. The Neoclassical growth model derived from first biological and physical principles was shown to capture all qualitative features that were revealed experimentally, including the possibility of a Logarithmic Inflection Point (LIP), the possibility of a LAG, concave as well as convex curves on the phase diagram, the Logistic growth as a special case, growth followed by decay, as well as oscillations. In addition, quantitative validation demonstrated its ability to reproduce experimental data in a few tested cases. This paper demonstrates that the Neoclassical growth model can reproduce a Generalized version of Gompertz growth too.

Original languageEnglish (US)
Pages (from-to)63-80
Number of pages18
JournalJournal of Mechanics in Medicine and Biology
Volume9
Issue number1
DOIs
StatePublished - Mar 2009

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Phase diagrams
Logistics

Keywords

  • Gompertz model
  • Microorganism growth
  • Population dynamics
  • Tumor growth

ASJC Scopus subject areas

  • Biomedical Engineering

Cite this

On the Gompertz limit of the monotonic neoclassical growth model. / Vadasz, Peter; Vadasz, Alisa S.

In: Journal of Mechanics in Medicine and Biology, Vol. 9, No. 1, 03.2009, p. 63-80.

Research output: Contribution to journalArticle

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