A neoclassical growth model for population dynamics in a homogeneous habitat

Peter Vadasz, Alisa S. Vadasz

Research output: Contribution to journalConference article

Abstract

A neoclassical model is proposed for the growth of cell and other populations in a homogeneous habitat. The model extends on the Logistic Growth Model (LGM) in a non-trivial way in order to address the cases where the Logistic Growth Model (LGM) fails short in recovering qualitative as well as quantitative features that appear in experimental data. These features include in some cases overshooting and oscillations, in others the existence of a "Lag Phase" at the initial growth stages, as well as an inflection point in the "In curve" of the population size. The proposed neoclassical model recovers also the Logistic Growth Curve as a special case. Comparisons of the solutions obtained from the proposed neoclassical model with experimental data confirm its quantitative validity, as well as its ability to recover a wide range of qualitative features captured in experiments.

Original languageEnglish (US)
Pages (from-to)9-19
Number of pages11
JournalAmerican Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD
Volume370
StatePublished - Jan 1 2001
Event2001 ASME International Mechanical Engineering Congress and Exposition - New York, United States
Duration: Nov 11 2011Nov 16 2011

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ASJC Scopus subject areas

  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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